This material is for PGPSE / CSE students of AFTERSCHOOOL. PGPSE / CSE are free online programme - open for all - free for all - to promote entrepreneurship and social entrepreneurship PGPSE is for those who want to transform the world. It is different from MBA, BBA, CFA, CA,CS,ICWA and other traditional programmes. It is based on self certification and based on self learning and guidance by mentors. It is for those who want to be entrepreneurs and social changers. Let us work together. Our basic idea is that KNOWLEDGE IS FREE & AND SHARE IT WITH THE WORLD
This document provides a summary of key concepts related to normal distribution for statistical analysis, including definitions of frequency distribution and important probability distributions like normal, binomial, chi square, student T, and F distribution. It also lists the assumptions of normal and binomial distributions and provides examples of probability calculations for scenarios involving dice, cards, samples, and more.
This document provides a collection of probability questions that are often asked in aptitude tests and competitive exams. It includes 14 questions with explanations and calculations of the probability for each. The purpose is to help students prepare for exams by understanding basic probability concepts and practicing sample questions. Links are provided at the end for additional free study materials on topics like reasoning, English, mathematics and general knowledge.
I have taken coaching from NARESH INSTITUTE for CRT (Campus Recruitment Training). In these videos, I have explained all the questions with answer and how to approach for the question etc, in the same manner how they have taught to me at the time of training. Hope u like it.
Aptitude training playlist link :
https://www.youtube.com/playlist?list=PL3v9ipJOEEPfumKHa02HWjCfPvGQiPZiG
For full playlist of Interview puzzles videos :
https://www.youtube.com/playlist?list=PL3v9ipJOEEPfI4zt4ExamGJwndkvg0SFc
24 standard interview puzzles:
https://www.youtube.com/playlist?list=PL3v9ipJOEEPefIF4nscYOobim1iRBJTjw
for C and C++ questions, that are asked in the interviews, go through the posts in the link : http://comsciguide.blogspot.com/
for more videos, my youtube channel :
https://www.youtube.com/channel/UCvMy2V7gYW7VR2WgyvLj3-A
Important questions for class 10 maths chapter 15 probability with solutionsExpertClass
1) The document provides solutions to 10 probability questions involving drawing cards from boxes or bags, rolling dice, tossing coins, and spinning arrows.
2) It includes the total possible outcomes, favorable outcomes, and probability calculation for each question.
3) The questions range from very short answer to long answer types and cover topics like simple probability, conditional probability, and independent events.
Important questions for class 10 maths chapter 15 probability with solionsExpertClass
expert's class ahmedabad by dhruv thakar
important notes of mathematics class 10
ncert solution also available ,mathematics adda
top institute in ahmedabad for mathematics
school and And graduation level competitive exam mathematics
dhruv sir mobile number-8320495706 ,bhai ka mathematics
This material is for PGPSE / CSE students of AFTERSCHOOOL. PGPSE / CSE are free online programme - open for all - free for all - to promote entrepreneurship and social entrepreneurship PGPSE is for those who want to transform the world. It is different from MBA, BBA, CFA, CA,CS,ICWA and other traditional programmes. It is based on self certification and based on self learning and guidance by mentors. It is for those who want to be entrepreneurs and social changers. Let us work together. Our basic idea is that KNOWLEDGE IS FREE & AND SHARE IT WITH THE WORLD
1. A document contains sample probability questions and answers about events such as rolling dice, picking cards or balls from boxes, coin tosses, and surveys.
2. The questions ask students to determine the sample space of events, calculate probabilities of outcomes, predict expected numbers of outcomes, and solve for unknown values.
3. The answers provided include writing out sample space elements, listing outcomes, calculating probabilities as fractions or decimals, and finding values that satisfy given probability equations.
The document contains 35 math and word problems. The assistant provides concise 3-sentence summaries for each problem:
1) A man discusses promoting entrepreneurship and free education for all. He needs support from others to achieve these goals.
2) The problem asks to rearrange the letters in "PROBLEM" to make 7-letter words without repetition, with the answer being 5040 possible arrangements.
3) The problem asks the probability that the third coin tossed will be heads if 10 coins are tossed simultaneously, with the answer being 1/2 or 512 possible outcomes out of 1024 total.
4) The problem asks to count the ways to post 5 letters into 3 post boxes with any number allowed
This document provides a summary of key concepts related to normal distribution for statistical analysis, including definitions of frequency distribution and important probability distributions like normal, binomial, chi square, student T, and F distribution. It also lists the assumptions of normal and binomial distributions and provides examples of probability calculations for scenarios involving dice, cards, samples, and more.
This document provides a collection of probability questions that are often asked in aptitude tests and competitive exams. It includes 14 questions with explanations and calculations of the probability for each. The purpose is to help students prepare for exams by understanding basic probability concepts and practicing sample questions. Links are provided at the end for additional free study materials on topics like reasoning, English, mathematics and general knowledge.
I have taken coaching from NARESH INSTITUTE for CRT (Campus Recruitment Training). In these videos, I have explained all the questions with answer and how to approach for the question etc, in the same manner how they have taught to me at the time of training. Hope u like it.
Aptitude training playlist link :
https://www.youtube.com/playlist?list=PL3v9ipJOEEPfumKHa02HWjCfPvGQiPZiG
For full playlist of Interview puzzles videos :
https://www.youtube.com/playlist?list=PL3v9ipJOEEPfI4zt4ExamGJwndkvg0SFc
24 standard interview puzzles:
https://www.youtube.com/playlist?list=PL3v9ipJOEEPefIF4nscYOobim1iRBJTjw
for C and C++ questions, that are asked in the interviews, go through the posts in the link : http://comsciguide.blogspot.com/
for more videos, my youtube channel :
https://www.youtube.com/channel/UCvMy2V7gYW7VR2WgyvLj3-A
Important questions for class 10 maths chapter 15 probability with solutionsExpertClass
1) The document provides solutions to 10 probability questions involving drawing cards from boxes or bags, rolling dice, tossing coins, and spinning arrows.
2) It includes the total possible outcomes, favorable outcomes, and probability calculation for each question.
3) The questions range from very short answer to long answer types and cover topics like simple probability, conditional probability, and independent events.
Important questions for class 10 maths chapter 15 probability with solionsExpertClass
expert's class ahmedabad by dhruv thakar
important notes of mathematics class 10
ncert solution also available ,mathematics adda
top institute in ahmedabad for mathematics
school and And graduation level competitive exam mathematics
dhruv sir mobile number-8320495706 ,bhai ka mathematics
This material is for PGPSE / CSE students of AFTERSCHOOOL. PGPSE / CSE are free online programme - open for all - free for all - to promote entrepreneurship and social entrepreneurship PGPSE is for those who want to transform the world. It is different from MBA, BBA, CFA, CA,CS,ICWA and other traditional programmes. It is based on self certification and based on self learning and guidance by mentors. It is for those who want to be entrepreneurs and social changers. Let us work together. Our basic idea is that KNOWLEDGE IS FREE & AND SHARE IT WITH THE WORLD
1. A document contains sample probability questions and answers about events such as rolling dice, picking cards or balls from boxes, coin tosses, and surveys.
2. The questions ask students to determine the sample space of events, calculate probabilities of outcomes, predict expected numbers of outcomes, and solve for unknown values.
3. The answers provided include writing out sample space elements, listing outcomes, calculating probabilities as fractions or decimals, and finding values that satisfy given probability equations.
The document contains 35 math and word problems. The assistant provides concise 3-sentence summaries for each problem:
1) A man discusses promoting entrepreneurship and free education for all. He needs support from others to achieve these goals.
2) The problem asks to rearrange the letters in "PROBLEM" to make 7-letter words without repetition, with the answer being 5040 possible arrangements.
3) The problem asks the probability that the third coin tossed will be heads if 10 coins are tossed simultaneously, with the answer being 1/2 or 512 possible outcomes out of 1024 total.
4) The problem asks to count the ways to post 5 letters into 3 post boxes with any number allowed
The document provides examples of math word problems and their step-by-step solutions. It includes problems involving multiplication, division, addition, subtraction and decimals. The correct answers are given along with explanations or drawings in some cases to show the work. The purpose is to demonstrate how to set up and solve different types of math word problems.
This document contains a quiz with 4 rounds of trivia questions and bonus questions. Each round has 4 multiple choice questions on topics like math, geography, science and more. Correct answers are provided along with explanations. The bonus questions allow wagering additional points for higher risk/reward questions at the end of each round. The quiz tests a variety of skills over its 4 rounds and bonus questions.
This document contains a 60 question mathematical reasoning practice test with multiple choice answers for each question. The test covers various math topics including arithmetic, algebra, geometry, percentages and ratios. Each question is one sentence long and has 5 possible multiple choice answers. The test is meant to help students prepare for the real mathematical reasoning entrance exam by showing them the format and style of questions that will be asked.
1. The document discusses a quantitative aptitude and business management program called PGPSE from the Centre for Social Entrepreneurship.
2. It provides sample quantitative reasoning questions and solutions covering topics like probability, data sufficiency, and word problems.
3. The program aims to develop social entrepreneurs and provide spiritual entrepreneurship training through a flexible distance learning course.
The document describes the PGPSE (Post Graduate Programme in Social Entrepreneurship) offered by the Centre for Social Entrepreneurship called AFTERSCHOOL. The 3-year program focuses on developing social entrepreneurs and covers topics like spiritual entrepreneurship, rural development, education, and other sectors. It has flexible specializations and is available fully online or in a blended format. The pedagogy is based on top B-schools and includes case studies, workshops, projects, and visits with entrepreneurs.
I am Arcady N. I am a Maths Assignment Expert at mathsassignmenthelp.com. I hold a Master's in Mathematics from, Queen’s University. I have been helping students with their assignments for the past 11 years. I solve assignments related to Maths.
Visit mathsassignmenthelp.com or email info@mathsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Maths.
The document discusses questions related to decimals, fractions, and quantitative aptitude tests. It provides examples of questions on topics like square roots, scientific notation, and permutations and combinations. It also provides links to download presentations on related topics like profit and loss, ratios, and business mathematics.
The document contains multiple choice questions related to probability and statistics. It includes 10 probability questions related to events like drawing balls from bags, rolling dice, tossing coins, etc. It also includes 5 statistics questions related to mean, median, standard deviation, distributions, etc. The document tests the reader's understanding of key probability and statistics concepts through multiple choice questions and answers.
I am Peter C. I am a Math Homework Solver at mathhomeworksolver.com. I hold a Master's in Mathematics, from London, UK. I have been helping students with their homework for the past 9 years. I solved homework related to Math.
Visit mathhomeworksolver.com or email support@mathhomeworksolver.com. You can also call on +1 678 648 4277 for any assistance with Math Homework.
There are three key steps to solving this problem:
1. Sammy started with x flavors and threw out y flavors, so he now has x - y flavors remaining.
2. To create combinations, we use the formula nCr = n!/(r!(n-r)!). Where n is the number of total flavors and r is the number we are combining.
3. Since we want 10-flavor combinations, and we know the number of flavors remaining is x - y, we can plug this value into the formula in place of n.
The key information needed is the original number of flavors (x) and the number thrown out (y) to determine the number remaining for combinations.
Qp sol kerala ntse stage 1 2016-17 language & matPalani Appan
1. The document contains a mental ability test with 30 multiple choice questions covering topics like patterns, series, coding, ratios, distances, and logical reasoning.
2. It provides the questions, multiple choice answers, and short solutions to determine the reasoning behind each answer.
3. The test examines skills like pattern recognition, logical thinking, math concepts, and the ability to draw inferences from given information.
This document contains a math lesson on Roman numerals, addition, subtraction, multiplication and division of whole numbers and decimals. It includes word problems, examples worked out step-by-step and answers for students to check their work. The lesson recaps working with negative numbers and compares ordering numbers in ascending and descending order.
The document contains 10 multiple choice questions with solutions about probability and statistics concepts such as finding the probability of outcomes when dice are rolled, calculating average number of legs for animals, and solving word problems involving ratios. The solutions show the step-by-step working to arrive at the answers. The questions cover topics like probability, averages, ratios, and solving word problems involving mathematical relationships between various quantities.
The document summarizes Joan Cotter's presentation on updating Montessori fractions. It discusses fraction charts, models for representing fractions like fish tanks and pies, games for learning fractions, and arithmetic operations like simplifying, adding, subtracting, and multiplying fractions. Various teaching strategies and manipulatives are presented.
The document summarizes Joan Cotter's presentation on updating Montessori fractions. It discusses fraction charts, models for representing fractions like fish tanks and pies, games for learning fractions, and arithmetic with fractions like simplifying, adding, subtracting, and multiplying fractions. Various teaching strategies and manipulatives are presented.
This maths home learning document provides practice questions and instructions for students to work on equivalent fractions, decimals, multiplication, division and calculating change from pounds. It includes 10 question maths quizzes with answers provided. Students are asked to convert between fractions and decimals, do multiplication and division calculations, and use methods like the number line or penny method to calculate change from amounts like £5, £10 or £20 after spending.
This document provides a summary of key concepts related to normal distribution for statistical analysis, including definitions of frequency distribution and important probability distributions like normal, binomial, chi square, student T, and F distribution. It also lists the assumptions of normal and binomial distributions and provides examples of probability calculations for scenarios involving dice, cards, samples, and more.
I am Stacy W. I am a Probability Homework Expert at statisticshomeworkhelper.com. I hold a Masters in Statistics from, the University of McGill, Canada
I have been helping students with their homework for the past 8 years. I solve assignments related to Probability.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com. You can also call +1 (315) 557-6473 for assistance with Statistics Assignments.
Are complex statistics problems leaving you puzzled? Look no further! Introducing StatisticsHomeworkHelper.com, your ultimate destination for conquering statistics challenges with ease.
🔍 Unparalleled Expertise: Our team of experienced statisticians is ready to tackle any problem thrown their way. From basic concepts to advanced analyses, we've got you covered.
📈 Step-by-Step Guidance: Say goodbye to confusion! Our detailed solutions break down even the trickiest questions into manageable steps, helping you grasp the concepts along the way.
⏱️ Time-Saving Assistance: Don't waste hours struggling over a single problem. Our efficient solutions give you more time to focus on other important tasks.
🌐 Anytime, Anywhere: Access our platform 24/7 from the comfort of your home. Whether it's a late-night study session or a last-minute assignment, we're always here to help.
🎓 Excelling Made Easy: Boost your grades and gain a deeper understanding of statistics. With StatisticsHomeworkHelper.com, excelling in your studies has never been more achievable.
🚀 Try Us Today: Visit our website and experience the power of a dedicated statistics homework solver. Let's turn those daunting problems into confident victories!
📢 Spread the word and tag friends who could use a statistics study companion. Together, let's conquer statistics! 📊📚
Get ready to unravel the mysteries of statistics with ease. Visit us at StatisticsHomeworkHelper.com and never fear your homework again! 🎉
The document contains questions related to CAT, MAT, GMAT entrance exams. It discusses various topics like probability, permutations and combinations, averages, ratios etc. and provides solutions to sample questions in 3-4 sentences each. The overall document aims to help exam preparation by providing practice questions on common quantitative topics.
Here are the probabilities for the different scenarios:
Odd: P(odd) = 7/15
Greater than 5: P(greater than 5) = 10/15
Even and less than 7: P(even and less than 7) = 2/15
Even or less than 7: P(even or less than 7) = 11/15
Important questions for class 10 maths chapter 15 probability with solutionsExpertClass
expert's class ahmedabad by dhruv thakar
important notes of mathematics class 10
ncert solution also available ,mathematics adda
top institute in ahmedabad for mathematics
school and And graduation level competitive exam mathematics
dhruv sir mobile number-8320495706 ,bhai ka mathematics
The document provides examples of math word problems and their step-by-step solutions. It includes problems involving multiplication, division, addition, subtraction and decimals. The correct answers are given along with explanations or drawings in some cases to show the work. The purpose is to demonstrate how to set up and solve different types of math word problems.
This document contains a quiz with 4 rounds of trivia questions and bonus questions. Each round has 4 multiple choice questions on topics like math, geography, science and more. Correct answers are provided along with explanations. The bonus questions allow wagering additional points for higher risk/reward questions at the end of each round. The quiz tests a variety of skills over its 4 rounds and bonus questions.
This document contains a 60 question mathematical reasoning practice test with multiple choice answers for each question. The test covers various math topics including arithmetic, algebra, geometry, percentages and ratios. Each question is one sentence long and has 5 possible multiple choice answers. The test is meant to help students prepare for the real mathematical reasoning entrance exam by showing them the format and style of questions that will be asked.
1. The document discusses a quantitative aptitude and business management program called PGPSE from the Centre for Social Entrepreneurship.
2. It provides sample quantitative reasoning questions and solutions covering topics like probability, data sufficiency, and word problems.
3. The program aims to develop social entrepreneurs and provide spiritual entrepreneurship training through a flexible distance learning course.
The document describes the PGPSE (Post Graduate Programme in Social Entrepreneurship) offered by the Centre for Social Entrepreneurship called AFTERSCHOOL. The 3-year program focuses on developing social entrepreneurs and covers topics like spiritual entrepreneurship, rural development, education, and other sectors. It has flexible specializations and is available fully online or in a blended format. The pedagogy is based on top B-schools and includes case studies, workshops, projects, and visits with entrepreneurs.
I am Arcady N. I am a Maths Assignment Expert at mathsassignmenthelp.com. I hold a Master's in Mathematics from, Queen’s University. I have been helping students with their assignments for the past 11 years. I solve assignments related to Maths.
Visit mathsassignmenthelp.com or email info@mathsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Maths.
The document discusses questions related to decimals, fractions, and quantitative aptitude tests. It provides examples of questions on topics like square roots, scientific notation, and permutations and combinations. It also provides links to download presentations on related topics like profit and loss, ratios, and business mathematics.
The document contains multiple choice questions related to probability and statistics. It includes 10 probability questions related to events like drawing balls from bags, rolling dice, tossing coins, etc. It also includes 5 statistics questions related to mean, median, standard deviation, distributions, etc. The document tests the reader's understanding of key probability and statistics concepts through multiple choice questions and answers.
I am Peter C. I am a Math Homework Solver at mathhomeworksolver.com. I hold a Master's in Mathematics, from London, UK. I have been helping students with their homework for the past 9 years. I solved homework related to Math.
Visit mathhomeworksolver.com or email support@mathhomeworksolver.com. You can also call on +1 678 648 4277 for any assistance with Math Homework.
There are three key steps to solving this problem:
1. Sammy started with x flavors and threw out y flavors, so he now has x - y flavors remaining.
2. To create combinations, we use the formula nCr = n!/(r!(n-r)!). Where n is the number of total flavors and r is the number we are combining.
3. Since we want 10-flavor combinations, and we know the number of flavors remaining is x - y, we can plug this value into the formula in place of n.
The key information needed is the original number of flavors (x) and the number thrown out (y) to determine the number remaining for combinations.
Qp sol kerala ntse stage 1 2016-17 language & matPalani Appan
1. The document contains a mental ability test with 30 multiple choice questions covering topics like patterns, series, coding, ratios, distances, and logical reasoning.
2. It provides the questions, multiple choice answers, and short solutions to determine the reasoning behind each answer.
3. The test examines skills like pattern recognition, logical thinking, math concepts, and the ability to draw inferences from given information.
This document contains a math lesson on Roman numerals, addition, subtraction, multiplication and division of whole numbers and decimals. It includes word problems, examples worked out step-by-step and answers for students to check their work. The lesson recaps working with negative numbers and compares ordering numbers in ascending and descending order.
The document contains 10 multiple choice questions with solutions about probability and statistics concepts such as finding the probability of outcomes when dice are rolled, calculating average number of legs for animals, and solving word problems involving ratios. The solutions show the step-by-step working to arrive at the answers. The questions cover topics like probability, averages, ratios, and solving word problems involving mathematical relationships between various quantities.
The document summarizes Joan Cotter's presentation on updating Montessori fractions. It discusses fraction charts, models for representing fractions like fish tanks and pies, games for learning fractions, and arithmetic operations like simplifying, adding, subtracting, and multiplying fractions. Various teaching strategies and manipulatives are presented.
The document summarizes Joan Cotter's presentation on updating Montessori fractions. It discusses fraction charts, models for representing fractions like fish tanks and pies, games for learning fractions, and arithmetic with fractions like simplifying, adding, subtracting, and multiplying fractions. Various teaching strategies and manipulatives are presented.
This maths home learning document provides practice questions and instructions for students to work on equivalent fractions, decimals, multiplication, division and calculating change from pounds. It includes 10 question maths quizzes with answers provided. Students are asked to convert between fractions and decimals, do multiplication and division calculations, and use methods like the number line or penny method to calculate change from amounts like £5, £10 or £20 after spending.
This document provides a summary of key concepts related to normal distribution for statistical analysis, including definitions of frequency distribution and important probability distributions like normal, binomial, chi square, student T, and F distribution. It also lists the assumptions of normal and binomial distributions and provides examples of probability calculations for scenarios involving dice, cards, samples, and more.
I am Stacy W. I am a Probability Homework Expert at statisticshomeworkhelper.com. I hold a Masters in Statistics from, the University of McGill, Canada
I have been helping students with their homework for the past 8 years. I solve assignments related to Probability.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com. You can also call +1 (315) 557-6473 for assistance with Statistics Assignments.
Are complex statistics problems leaving you puzzled? Look no further! Introducing StatisticsHomeworkHelper.com, your ultimate destination for conquering statistics challenges with ease.
🔍 Unparalleled Expertise: Our team of experienced statisticians is ready to tackle any problem thrown their way. From basic concepts to advanced analyses, we've got you covered.
📈 Step-by-Step Guidance: Say goodbye to confusion! Our detailed solutions break down even the trickiest questions into manageable steps, helping you grasp the concepts along the way.
⏱️ Time-Saving Assistance: Don't waste hours struggling over a single problem. Our efficient solutions give you more time to focus on other important tasks.
🌐 Anytime, Anywhere: Access our platform 24/7 from the comfort of your home. Whether it's a late-night study session or a last-minute assignment, we're always here to help.
🎓 Excelling Made Easy: Boost your grades and gain a deeper understanding of statistics. With StatisticsHomeworkHelper.com, excelling in your studies has never been more achievable.
🚀 Try Us Today: Visit our website and experience the power of a dedicated statistics homework solver. Let's turn those daunting problems into confident victories!
📢 Spread the word and tag friends who could use a statistics study companion. Together, let's conquer statistics! 📊📚
Get ready to unravel the mysteries of statistics with ease. Visit us at StatisticsHomeworkHelper.com and never fear your homework again! 🎉
The document contains questions related to CAT, MAT, GMAT entrance exams. It discusses various topics like probability, permutations and combinations, averages, ratios etc. and provides solutions to sample questions in 3-4 sentences each. The overall document aims to help exam preparation by providing practice questions on common quantitative topics.
Here are the probabilities for the different scenarios:
Odd: P(odd) = 7/15
Greater than 5: P(greater than 5) = 10/15
Even and less than 7: P(even and less than 7) = 2/15
Even or less than 7: P(even or less than 7) = 11/15
Important questions for class 10 maths chapter 15 probability with solutionsExpertClass
expert's class ahmedabad by dhruv thakar
important notes of mathematics class 10
ncert solution also available ,mathematics adda
top institute in ahmedabad for mathematics
school and And graduation level competitive exam mathematics
dhruv sir mobile number-8320495706 ,bhai ka mathematics
This document contains examples of counting elements of sets, finding probabilities, and analyzing survey data through intersections and unions of categories. It provides instructions and solutions for tasks involving sets, probabilities, and surveys.
This document discusses probability and random experiments. It defines key probability concepts like sample space, events, and how to calculate probability. It provides examples of random experiments like rolling dice, flipping coins, and drawing cards. The document also includes practice problems calculating probabilities of events occurring in random experiments and their solutions.
GRE QUANTITATIVE: PERMUTATIONS, COMBINATIONS AND PROBABILITYsumanmathews
Have you wondered what is the difference between a permutation and combination? When do we use it?
Learn this and much more by watching this presentation !. This is exclusively designed for students preparing for the GRE QUANTITATIVE section. Here, we learn what are permutations and combinations, the formulae used for evaluating them and how to use them in problems. We also deal with the basic rules of probability . Problems in probability are also discussed using the addition theorem and multiplication theorem.
For more videos, subscribe to my channel or visit my page
https://www.mathmadeeasy.co/about-1
This document discusses probability and provides examples of calculating probabilities of events. Some key points covered include:
- Probability allows quantifying the variability in outcomes of experiments with uncertain results.
- Key concepts like sample space, events, outcomes, mutually exclusive events, independent events are defined.
- Probability is calculated as the number of favorable outcomes divided by the total number of outcomes.
- Examples of probability calculations involving dice rolls, card draws, and coin tosses are provided.
- Theorems like addition rule, multiplication rule, and conditional probability are discussed.
The document describes the PGPSE (Post Graduate Programme in Social Entrepreneurship) offered by the Centre for Social Entrepreneurship called AFTERSCHOOL. The 3-year program aims to develop social entrepreneurs and change makers through case studies, workshops, and practical training. It is a flexible, online program that can be completed part-time with options for specialization in various sectors. The pedagogy is based on top B-schools and includes spiritual development training.
Statistics, Index Numbers, And Analysis For Business 17 OctoberDr. Trilok Kumar Jain
1. The document discusses a quantitative aptitude and business management program called PGPSE from the Centre for Social Entrepreneurship.
2. It provides sample quantitative reasoning questions and solutions covering topics like probability, data sufficiency, and word problems.
3. Information is given about the Afterschoool program which aims to promote entrepreneurship and social development through its flexible and practical curriculum.
Probability Overview with Hands-on from Object AutomationObject Automation
Object Automation Software Solutions Pvt Ltd in collaboration with SRM Ramapuram delivered Workshop for Skill Development on Artificial Intelligence.
Probability Overview with Hands-on by Mr.N.Vinay, Business Manager from Object Automation.
Union and intersection of events (math 10)Damone Odrale
The document discusses probability concepts like sample space, number of outcomes of an event, and calculating probability. It provides examples like rolling a die, picking balls from an urn, and drawing cards from a deck. It also covers compound events and calculating probability for multiple outcomes. The examples are meant to illustrate key probability terms and how to set up and solve probability problems.
This material is a part of PGPSE / CSE study material for the students of PGPSE / CSE students. PGPSE is a free online programme for all those who want to be social entrepreneurs / entrepreneurs
This material is for PGPSE / CSE students of AFTERSCHOOOL. PGPSE / CSE are free online programme - open for all - free for all - to promote entrepreneurship and social entrepreneurship PGPSE is for those who want to transform the world. It is different from MBA, BBA, CFA, CA,CS,ICWA and other traditional programmes. It is based on self certification and based on self learning and guidance by mentors. It is for those who want to be entrepreneurs and social changers. Let us work together. Our basic idea is that KNOWLEDGE IS FREE & AND SHARE IT WITH THE WORLD
The document discusses various concepts related to permutations and combinations including:
1) It provides examples to explain the difference between permutations and combinations.
2) It lists the formula for permutations as Npr = n! / (n-r)! and provides an example calculation.
3) It poses several word problems involving permutations and combinations and shows the calculations to arrive at the answers.
The document provides explanations and formulas for various statistical and mathematical concepts related to business such as permutation, combination, probability, and time value of money. Formulas are given for permutation, combination, present value, future value, effective interest rate, and examples are provided to demonstrate how to apply the formulas to calculate values.
This document contains lesson material on probability, including vocabulary definitions and examples. It defines key terms like probability, sample space, theoretical probability, and experimental probability. It provides examples of calculating probabilities of events occurring based on the number of possible outcomes. For instance, the probability of randomly selecting a green marker from three colors is 1/3, and the probability of guessing someone's birthday within 31 days is 1/31. The document also distinguishes between theoretical and experimental probability and provides examples of calculating each.
The document discusses mutually exclusive and non-mutually exclusive events. It explains that for mutually exclusive events, the probability of Event A or Event B can be calculated as P(A) + P(B) using the "Or Law". However, this does not apply to non-mutually exclusive events, where the events can occur simultaneously, and P(A or B) must be calculated directly rather than by addition. Examples are provided to illustrate the difference between mutually exclusive and non-mutually exclusive events.
Similar to Questions of basic probability for aptitude test (20)
Examination reforms are essential to transform the education system according to the document. The current examination system focuses only on rote memorization but needs to evaluate creativity and problem-solving. The document outlines steps to reform examinations including setting goals based on program and course objectives, evaluating whether objectives are achieved through direct and indirect methods, using continuous evaluations, and adopting open book exams and multiple evaluation methods.
1. Questions of Basic Probability for Aptitude Test by : DR. T.K. JAIN AFTERSCHO ☺ OL centre for social entrepreneurship sivakamu veterinary hospital road bikaner 334001 rajasthan, india FOR – CSE & PGPSE STUDENTS (CSE & PGPSE are free online programmes open for all, free for all) mobile : 91+9414430763
2. My words..... My purpose here is to give a few questions, which are often asked in aptitude tests and competitive examinations. Please prepare well for your examinations. Please pass this presentation to all those who might need it. Let us spread knowledge as widely as possible. I welcome your suggestions. I also request you to help me in spreading social entrepreneurship across the globe – for which I need support of you people – not of any VIP. With your help, I can spread the ideas – for which we stand....
3. An biased die is tossed.Find the probability of getting a multiple of 3? The possible options are : 1 to 6. there are only 2 multiples of 3 : 3,6 so probability is (number of favourable outcomes ) / (total number of possibilities) = 2/6 = 1/3 answer
4. In a simultaneous throw of a pair of dice,find the probability of getting a total more than 7? We can have 36 possibilities (6*6) however, we need only those cases where the total is 8 or more. These are : (6,2),(6,3),(6,4),(6,5),(6,6),(5,3),(5,4),(5,5),(5,6),(4,4),(4,5),(4,6),(3,5),(3,6),(2,6) =15 answer = 15/36 = 5/12 answer
5. A bag contains 6 white and 4 black balls .Two balls are drawn at random .Find the probability that they are of the same colour? Both are white : 6/10*5/9 both are black = 4/10*3/9 add them : =42/90 or 7/15 or : 6c2/10C2*1/2 + 4c2/10c2 =21/45 = 7/15 answer
6. Two dice are thrown together.What is the probability that the sum of the number on the two faces is divisible by 4 or 6? The possibilities are : (1,3)(1,5) (2,2) (2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(5,1),(5,3),(6,2),(6,6) thus we are able to get 14 out of 36. so answer = 7/18 answer
7. Two cards are drawn at random from a pack of 52 cards What is the probability that either both are black or both are queens? Both are black = 26/52 * 25/51=25/102 both are queens : 4/52 * 3/51=3/663 both are black queens : 2/52*1/51 = 1/1326 now add them : (25/102 + 3/663 – 1/1326) =(325+6-1)/1326 =330/1326 or .25 answer
8. Two dices are tossed the probability that the total score is a prime number? Prime numbers are : 1,2,3,5,7,11 totals are : (1,2),(1,1),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),6,1),(6,5) =15/36 answer
9. Two dice are thrown simultaneously .what is the probability of getting two numbers whose product is even? If any one of the two numbers is an even number, the product will be even number. Thus we should pick up all those cases when both the numbers are odd numbers : (1,1),(1,3),(1,5),(3,1),(3,3),(3,5),(5,1),(5,3) (5,5) thus there are only 9 such cases. Remove them from 36, we get : 27 cases answer : 27/36 answer
10. In a lottery ,there are 10 prizes and 25 blanks.A lottery is drawn at random. what is the probability of getting a prize ? 10/(10+25) =10/35 or 2/7 answer
11. In a class ,30 % of the students offered English,20 % offered Hindi and 10 %offered Both.If a student is offered at random, what is the probability that he has offered English or Hindi? 30+20-10 = 40% or .4 answer
12. Two cards are drawn from a pack of 52 cards .What is the probability that either both are Red or both are Kings? Both are red ½ * 25/51 both are king = 4/52 + 3/51 now add both these answers =55/221
13. one card is drawn at random from a pack of 52 cards.What is the probability that the card drawn is a face card? Face cards are : Jack, queen, king total = 12 12/52 answer
14. A man and his wife appear in an interview for two vacancies in the same post.The probability of husband's selection is 1/7 and the probabililty of wife's selection is 1/5.What is the probabililty that only one of them is selected? Husband + not wife =1/7 * 4/5 = 4/35 wife + not husband =1/5 * 6/7 = 6/35 add = 10/35 answer
15. From a pack of 52 cards,one card is drawn at random.What is the probability that the card is a 10 or a spade? 4/52 + 13/52 – 1/52 =16/52 answer
16. A bag contains 4 white balls ,5 red and 6 blue balls .Three balls are drawn at random from the bag.What is the probability that all of them are red ? 5/15*4/14*3/13 or 5c2/15c2 = =2/91
17. A box contains 10 block and 10 white balls.What is the probability of drawing two balls of the same colour? Both are black : 10/20 * 9/19 =9/38 +both are white : 10/20 * 9/19 =9/38 or black : 10c2 / 20c2 +white : 10c2 / 20c 2 =90/190
18. A box contains 20 electricbulbs ,out of which 4 are defective, two bulbs are chosen at random from this box.What is the probability that at least one of these is defective ? In such questions (at least one type), it is better to reverse the question, solve it and deduct the answer from 1. So here we shall first calculate the probability of getting no defective bulb. Let us assume that no bulb is defective : 16/20 * 15/19 = 12/19 at least one is defective = 1 -12/19 = 7/19 answer
19. Two cards are drawn together from apack of 52 cards.What is the probability that one is a spade and one is a heart ? First is spade and 2 nd heart : 13/52 * 13/51 = 13/204 First is heart and 2 nd spade : 13/52 * 13/51 = 13/204 add them : 13/102 answer
20. The probability that a card drawn from a pack of 52 cards will be a diamond or a king? 13/52 + 4/52 – 1/52 =16/52
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