Probability 6 on ppt
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This document provides examples of calculating probabilities of different events. It begins by defining key probability terms like event, outcome, and experiment. Examples then calculate probabilities of tossing coins, dice, drawing cards, and selecting marbles from bags. Questions at the end ask about how probability is used to find the likelihood of an event and in everyday life.
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Sa we are all creative elementary
This document introduces Robert Alan Black and his work in creative thinking and consulting. It provides information about his background and qualifications, which include volunteering with gifted students, traveling the world since 1998, and holding positions such as licensed architect, interior designer, college professor, and creative thinking consultant. The document also shares various creative thinking tools and techniques developed by Black to help spark new ideas.
Probability Deck of Cards
A standard deck of 52 cards is used in three drawing experiments:
1) A single card is drawn, recording the outcome of 10 draws.
2) Two cards are drawn with replacement, recording the outcomes of two sets of draws.
3) Two cards are drawn without replacement, again recording the outcomes of two sets of draws.
For each experiment, probabilities of drawing certain cards or combinations are calculated.
01_Probability of Simple Events.ppt
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Fun-With-Probability-Simple-Eventss.pptx
This document introduces probability and key probability concepts. It defines probability as the chance that something will happen, and explains that probabilities are expressed as numbers between 0 and 1. It then outlines four probability rules: 1) probabilities are fractions, decimals or percentages between 0 and 1, 2) the probability of an impossible event is 0, 3) the probability of a certain event is 1, and 4) the sum of probabilities of all outcomes equals 1. The document provides examples of calculating probabilities of events involving spinners, dice, cards and other random selection processes. It poses 10 probability questions and explains calculating probabilities of compound events.
Applied Math 40S March 5, 2008
Independence and dependence, calculating "and" and "or" probabilities, mutually exclusive events, and applications.
AM40SFeb19
In a family with 3 children, the probability that 2 of the children will be girls can be calculated as follows:
There are 3 children and each child can be either a boy or a girl. So there are 2 possible outcomes for each child. Using the fundamental principle of counting, there are 2 * 2 * 2 = 8 possible combinations of boys and girls. Out of these 8 combinations, 3 combinations will have exactly 2 girls. Therefore, the probability that 2 of the 3 children will be girls is 3/8.
PROBABILITY BY ZOEN CUTE KAAYO SA KATANAN.pptx
Probability is a branch of mathematics that enables us to predict the occurrence of an event as a result of an experiment. The probability of an event is calculated by taking the number of outcomes in the event and dividing it by the total number of possible outcomes. Simple events consist of a single outcome, while compound events consist of two or more simple events. Examples of calculating probability are given for simple events like rolling a die or drawing balls from a jar, and compound events like rolling two dice. The importance of probability in decision making in real life is discussed.
Probability Overview
There are two ways to count the number of possible outcomes of an experiment:
1) Using a tree diagram to list out all the combinations
2) Using the Fundamental Counting Principle, which involves multiplying the number of choices for each event together.
To calculate the probability of compound events (events made up of two or more simple events), you first determine if the events are independent or dependent. For independent events, the probability of one event does not affect the other event. You calculate the probability by multiplying the individual probabilities together.
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Sa we are all creative elementary
This document introduces Robert Alan Black and his work in creative thinking and consulting. It provides information about his background and qualifications, which include volunteering with gifted students, traveling the world since 1998, and holding positions such as licensed architect, interior designer, college professor, and creative thinking consultant. The document also shares various creative thinking tools and techniques developed by Black to help spark new ideas.
Probability Deck of Cards
A standard deck of 52 cards is used in three drawing experiments:
1) A single card is drawn, recording the outcome of 10 draws.
2) Two cards are drawn with replacement, recording the outcomes of two sets of draws.
3) Two cards are drawn without replacement, again recording the outcomes of two sets of draws.
For each experiment, probabilities of drawing certain cards or combinations are calculated.
01_Probability of Simple Events.ppt
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Fun-With-Probability-Simple-Eventss.pptx
This document introduces probability and key probability concepts. It defines probability as the chance that something will happen, and explains that probabilities are expressed as numbers between 0 and 1. It then outlines four probability rules: 1) probabilities are fractions, decimals or percentages between 0 and 1, 2) the probability of an impossible event is 0, 3) the probability of a certain event is 1, and 4) the sum of probabilities of all outcomes equals 1. The document provides examples of calculating probabilities of events involving spinners, dice, cards and other random selection processes. It poses 10 probability questions and explains calculating probabilities of compound events.
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In a family with 3 children, the probability that 2 of the children will be girls can be calculated as follows:
There are 3 children and each child can be either a boy or a girl. So there are 2 possible outcomes for each child. Using the fundamental principle of counting, there are 2 * 2 * 2 = 8 possible combinations of boys and girls. Out of these 8 combinations, 3 combinations will have exactly 2 girls. Therefore, the probability that 2 of the 3 children will be girls is 3/8.
PROBABILITY BY ZOEN CUTE KAAYO SA KATANAN.pptx
Probability is a branch of mathematics that enables us to predict the occurrence of an event as a result of an experiment. The probability of an event is calculated by taking the number of outcomes in the event and dividing it by the total number of possible outcomes. Simple events consist of a single outcome, while compound events consist of two or more simple events. Examples of calculating probability are given for simple events like rolling a die or drawing balls from a jar, and compound events like rolling two dice. The importance of probability in decision making in real life is discussed.
Probability Overview
There are two ways to count the number of possible outcomes of an experiment:
1) Using a tree diagram to list out all the combinations
2) Using the Fundamental Counting Principle, which involves multiplying the number of choices for each event together.
To calculate the probability of compound events (events made up of two or more simple events), you first determine if the events are independent or dependent. For independent events, the probability of one event does not affect the other event. You calculate the probability by multiplying the individual probabilities together.
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The document discusses probability and different probability concepts like likelihood of outcomes, spinners, dice, and cards. It explains that probability is calculated by counting the number of desired outcomes and dividing by the total number of possible outcomes. For dice, the probability of rolling any single number is 1/6 since there are 6 numbers on a die. For cards, the probability depends on how many of that type of card there are out of the total 52 cards in a deck.
01_Probability-of-Simple-Events-Math.ppt
This document provides instruction on probability of simple events. It defines key terms like outcome, sample space, simple event and complementary events. Examples are given to demonstrate calculating probability as the number of favorable outcomes over total possible outcomes, such as the probability of rolling a 4 on a die or flipping a tail. Practice problems have students calculate probabilities of independent events like drawing a red card. The document concludes with a real-world example of calculating the probability a purchased computer is not defective.
Lesson 11 5 compound events
1. The document provides examples and definitions for compound probability, which involves finding the probability of two or more sequential events occurring.
2. To calculate the probability of landing on 1 and black on a spinner and choosing a black marble, all possible outcomes are listed in a tree diagram and the probability is calculated as the number of desired outcomes over the total number of outcomes.
3. Practice problems are provided to calculate various compound probabilities involving events like coin tosses, card draws from a bag, and spinner or dice rolls.
Lesson 11 5 compound events
1. The document provides examples and definitions for compound probability, which involves the probability of two or more independent events occurring.
2. To calculate the probability of landing on 1 and black on a spinner and choosing a black marble, the document lists the 8 possible outcomes and identifies that there are 2 outcomes where the spinner lands on 1 and the marble is black. The probability is calculated as 2/8.
3. A tree diagram is used to calculate the probability of a coin landing on heads, a spinner landing on 3, and choosing a black marble. There are 18 total outcomes and 1 outcome that meets all 3 criteria, so the probability is 1/18.
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This document provides examples and explanations of probability concepts involving independent and dependent events. It includes word problems for students to solve involving picking candies or items from boxes where replacement does or does not occur between picks. The key concepts are:
- Independent events are those where the outcome of one event does not affect the other. Probability is calculated as P(A) x P(B).
- Dependent events are those where the outcome of one event affects the probability of the other. Probability is calculated as P(A) x P(B|A).
Students work through multiple choice and word problems applying these probability rules to scenarios like drawing items from boxes with replacement or without.
Intro to probability - 1
This document introduces key concepts in probability through examples. It discusses what probability is, possible outcomes, events, equally likely events vs. not equally likely events, certain and impossible events, the complement of an event, the probability line, mutually exclusive vs. not mutually exclusive events. Examples used include a spinner with colors, coin tossing, dice rolling, and drawing balls from a jar. Probability is defined as the number of ways an event can happen divided by the total number of possible outcomes.
Lesson 11 3 theoretical probability
1. The document provides examples of calculating theoretical probabilities using a coin, dice, and other objects. It defines theoretical probability as the probability when all outcomes are equally likely.
2. It also discusses finding the probability of events not occurring by subtracting the probability of the event from 100%.
3. Several examples are worked out calculating probabilities of outcomes from coins, dice, spinners, bags of marbles using the formula for theoretical probability.
Lesson 11 3 theoretical probability
1) The document provides examples of calculating theoretical probabilities using a coin, dice, and other objects. It defines theoretical probability as the probability when all outcomes are equally likely.
2) It also discusses finding the probability of events not occurring by subtracting the probability of the event from 100%.
3) Several examples are worked out calculating probabilities of outcomes from coins, dice, spinners, bags of marbles using the formula for theoretical probability.
9.1 Simple Events
This document discusses probability and simple events. It begins with examples of rolling dice and finding the probabilities of various outcomes. It then defines key probability terms like sample space, complementary events, and the range of probabilities from 0 to 1. Several probability calculation examples are given for dice rolls, card draws, and spinners. The document emphasizes that the probability of an event is a number between 0 and 1, and discusses how to calculate probabilities and complementary events.
9 6 A Notes
The document provides examples to explain geometric probability. It begins by asking the reader to write common geometric formulas on their paper. Then, it provides scenarios involving shapes like circles, lines, and regions to calculate probabilities. For instance, it asks what the probability is of choosing a point on a specific line segment or within certain colored circles on a graph. The document uses visual diagrams to clearly illustrate the geometric spaces involved in the probability questions.
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You and I can recognize the numerosity, the number of things, instantly by just looking. If you haven’t learned the names of the first ten numbers, starting with zero, then these exercises are great as it develops your natural instincts. If you already know how to count then these exercises can help you learn a quicker, more natural way, to number things.
Probability for GCSE
Here are the probabilities required:
i) Peter will pass: 0.6
ii) Asif will pass: 0.7
iii) Neither will pass: 0.4 x 0.3 = 0.12
iv) At least one will pass: 1 - 0.12 = 0.88
(b) Without doing any calculations, state which of the following is most likely:
i) Both Peter and Asif will pass
ii) Neither Peter nor Asif will pass
iii) Exactly one of them will pass
(c) Now do the calculations. Which of the statements in part (b) is correct?
Question 6
A bag contains 10 sweets.
Applied Math 40S February 19, 2008
In a family with 3 children, the probability that 2 of the children will be girls can be calculated as follows:
There are 3 children and each child can be either a boy or a girl. So there are 2 possible outcomes for each child. Using the fundamental principle of counting, there are 2*2*2 = 8 possible combinations of boys and girls. Out of these 8 combinations, 3 combinations will have exactly 2 girls. Therefore, the probability that 2 of the 3 children will be girls is 3/8.
Problems Involving Probabilities of Events (Math 8)
This document contains 30 probability problems involving events such as choosing days of the week, selecting marbles from a jar, drawing cards from a deck, rolling dice, and tossing coins. The student is asked to calculate the probability of various outcomes for each scenario.
01_Probability of Simple Events.ppt
This document discusses probability of simple events. It defines key terms like outcome, sample space, simple event and complementary events. It provides examples of calculating probability for events like rolling dice, spinning a spinner or flipping a coin. The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes. Students are given examples to practice calculating probabilities and real world scenarios are provided to demonstrate applications of probability.
Introduction to probability
This slide presentation is a non-technical introduction to the concept of probability. The level of the presentation would be most suitable for college students majoring in business or a related field, but it could also be used in high school classes.
PROBABILITY OF MUTUALLY EXCLUSIVE EVENTS final.pptx
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09.06.2020 Writing Probabilities As Fractions.ppt
The document provides information about probability and writing probabilities as fractions. It includes:
- A scale showing that probability values range from 0 to 1, with some examples given like the probability of getting tails from a coin flip being 1/2.
- Two examples calculating the probability of different outcomes when randomly selecting cards/shapes with varying attributes, such as the probability of selecting a red shape being 2/12.
- Classwork questions asking students to calculate probabilities of events using fractions.
The document gives an overview of the probability scale, examples of calculating probabilities as fractions for random selection tasks, and assigns related classwork questions.
Probability-Multiple-Event-Demonstration.pptx
This document provides examples and explanations of calculating probabilities of multiple independent events occurring. It demonstrates how to calculate the probability of two events occurring by multiplying the individual probabilities. Examples include calculating the probability of rolling certain numbers on dice and landing on certain spots on spinners or coins landing on certain sides. The document ensures understanding by providing interactive demonstrations and asking the reader to calculate probabilities of multiple events in different scenarios.
National Security Agency - NSA mobile device best practices
Threats to mobile devices are more prevalent and increasing in scope and complexity. Users of mobile devices desire to take full advantage of the features
available on those devices, but many of the features provide convenience and capability but sacrifice security. This best practices guide outlines steps the users can take to better protect personal devices and information.
みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
ここ3000字までしか入らないけどタイトルの方がたくさん文字入ると思います。
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The document discusses probability and different probability concepts like likelihood of outcomes, spinners, dice, and cards. It explains that probability is calculated by counting the number of desired outcomes and dividing by the total number of possible outcomes. For dice, the probability of rolling any single number is 1/6 since there are 6 numbers on a die. For cards, the probability depends on how many of that type of card there are out of the total 52 cards in a deck.
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This document provides instruction on probability of simple events. It defines key terms like outcome, sample space, simple event and complementary events. Examples are given to demonstrate calculating probability as the number of favorable outcomes over total possible outcomes, such as the probability of rolling a 4 on a die or flipping a tail. Practice problems have students calculate probabilities of independent events like drawing a red card. The document concludes with a real-world example of calculating the probability a purchased computer is not defective.
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3. Practice problems are provided to calculate various compound probabilities involving events like coin tosses, card draws from a bag, and spinner or dice rolls.
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Getting a tail on a coin toss or getting a number less than 5 on a standard 6-sided die. Both events are equally likely. Getting a number less than 5 on a die has a higher probability, as 5 out of the 6 possible outcomes on a die roll are less than 5, giving it a good chance. A coin toss has only a 2 in 2 chance (even chance) of landing on tails. Mathematics can oversimplify problems at times by reducing real-world uncertainty to theoretical probabilities. The application of probability is not limited to games of chance, as patterns in relationships can help predict outcomes.
Mathematics 10 Probability Lesson Plan - L03.pptx
This document provides examples and explanations of probability concepts involving independent and dependent events. It includes word problems for students to solve involving picking candies or items from boxes where replacement does or does not occur between picks. The key concepts are:
- Independent events are those where the outcome of one event does not affect the other. Probability is calculated as P(A) x P(B).
- Dependent events are those where the outcome of one event affects the probability of the other. Probability is calculated as P(A) x P(B|A).
Students work through multiple choice and word problems applying these probability rules to scenarios like drawing items from boxes with replacement or without.
Intro to probability - 1
This document introduces key concepts in probability through examples. It discusses what probability is, possible outcomes, events, equally likely events vs. not equally likely events, certain and impossible events, the complement of an event, the probability line, mutually exclusive vs. not mutually exclusive events. Examples used include a spinner with colors, coin tossing, dice rolling, and drawing balls from a jar. Probability is defined as the number of ways an event can happen divided by the total number of possible outcomes.
Lesson 11 3 theoretical probability
1. The document provides examples of calculating theoretical probabilities using a coin, dice, and other objects. It defines theoretical probability as the probability when all outcomes are equally likely.
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3. Several examples are worked out calculating probabilities of outcomes from coins, dice, spinners, bags of marbles using the formula for theoretical probability.
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1) The document provides examples of calculating theoretical probabilities using a coin, dice, and other objects. It defines theoretical probability as the probability when all outcomes are equally likely.
2) It also discusses finding the probability of events not occurring by subtracting the probability of the event from 100%.
3) Several examples are worked out calculating probabilities of outcomes from coins, dice, spinners, bags of marbles using the formula for theoretical probability.
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This document discusses probability and simple events. It begins with examples of rolling dice and finding the probabilities of various outcomes. It then defines key probability terms like sample space, complementary events, and the range of probabilities from 0 to 1. Several probability calculation examples are given for dice rolls, card draws, and spinners. The document emphasizes that the probability of an event is a number between 0 and 1, and discusses how to calculate probabilities and complementary events.
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The document provides examples to explain geometric probability. It begins by asking the reader to write common geometric formulas on their paper. Then, it provides scenarios involving shapes like circles, lines, and regions to calculate probabilities. For instance, it asks what the probability is of choosing a point on a specific line segment or within certain colored circles on a graph. The document uses visual diagrams to clearly illustrate the geometric spaces involved in the probability questions.
Can you subitize?
You and I can recognize the numerosity, the number of things, instantly by just looking. If you haven’t learned the names of the first ten numbers, starting with zero, then these exercises are great as it develops your natural instincts. If you already know how to count then these exercises can help you learn a quicker, more natural way, to number things.
Probability for GCSE
Here are the probabilities required:
i) Peter will pass: 0.6
ii) Asif will pass: 0.7
iii) Neither will pass: 0.4 x 0.3 = 0.12
iv) At least one will pass: 1 - 0.12 = 0.88
(b) Without doing any calculations, state which of the following is most likely:
i) Both Peter and Asif will pass
ii) Neither Peter nor Asif will pass
iii) Exactly one of them will pass
(c) Now do the calculations. Which of the statements in part (b) is correct?
Question 6
A bag contains 10 sweets.
Applied Math 40S February 19, 2008
In a family with 3 children, the probability that 2 of the children will be girls can be calculated as follows:
There are 3 children and each child can be either a boy or a girl. So there are 2 possible outcomes for each child. Using the fundamental principle of counting, there are 2*2*2 = 8 possible combinations of boys and girls. Out of these 8 combinations, 3 combinations will have exactly 2 girls. Therefore, the probability that 2 of the 3 children will be girls is 3/8.
Problems Involving Probabilities of Events (Math 8)
This document contains 30 probability problems involving events such as choosing days of the week, selecting marbles from a jar, drawing cards from a deck, rolling dice, and tossing coins. The student is asked to calculate the probability of various outcomes for each scenario.
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This document discusses probability of simple events. It defines key terms like outcome, sample space, simple event and complementary events. It provides examples of calculating probability for events like rolling dice, spinning a spinner or flipping a coin. The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes. Students are given examples to practice calculating probabilities and real world scenarios are provided to demonstrate applications of probability.
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This slide presentation is a non-technical introduction to the concept of probability. The level of the presentation would be most suitable for college students majoring in business or a related field, but it could also be used in high school classes.
PROBABILITY OF MUTUALLY EXCLUSIVE EVENTS final.pptx
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09.06.2020 Writing Probabilities As Fractions.ppt
The document provides information about probability and writing probabilities as fractions. It includes:
- A scale showing that probability values range from 0 to 1, with some examples given like the probability of getting tails from a coin flip being 1/2.
- Two examples calculating the probability of different outcomes when randomly selecting cards/shapes with varying attributes, such as the probability of selecting a red shape being 2/12.
- Classwork questions asking students to calculate probabilities of events using fractions.
The document gives an overview of the probability scale, examples of calculating probabilities as fractions for random selection tasks, and assigns related classwork questions.
Probability-Multiple-Event-Demonstration.pptx
This document provides examples and explanations of calculating probabilities of multiple independent events occurring. It demonstrates how to calculate the probability of two events occurring by multiplying the individual probabilities. Examples include calculating the probability of rolling certain numbers on dice and landing on certain spots on spinners or coins landing on certain sides. The document ensures understanding by providing interactive demonstrations and asking the reader to calculate probabilities of multiple events in different scenarios.
Similar to Probability 6 on ppt (20)
Problems Involving Probabilities of Events (Math 8)
Problems Involving Probabilities of Events (Math 8)
PROBABILITY OF MUTUALLY EXCLUSIVE EVENTS final.pptx
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みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
ここ3000字までしか入らないけどタイトルの方がたくさん文字入ると思います。
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みなさんこんにちはこれ何文字まで入るの？40文字以下不可とか本当に意味わからないけどこれ限界文字数書いてないからマジでやばい文字数いけるんじゃないの？えこ...
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Probability 6 on ppt
- 1. Spiral Review – Do Now 1. Write each ratio in simplest form: Vocabulary a. b. Probability Experiment Outcome Event
- 2. P(event)= Objective: To find the probability of an event.
- 3. Probability P(event)= 1. P(Heads)= 2. P(Tails)= What if I tossed the coin ten times? Would that change the results? Does it matter how many times you toss the coin?
- 4. Event: tossing a die Die: How many possible outcomes? What is the probability of tossing a 4? What is the probability of tossing a number less than 3? What is the probability of tossing an odd number? ,
- 5. Dice
- 6. When tossing two dice what is the probability of getting
- 7. Hokie Pokie 1. What is the probability of landing on red? 2. What is the probability of landing on blue? 3. What is the probability of landing on your right hand? 4. What is the probability of landing on your left or right foot?
- 8. Practice How many cards are in a standard deck of playing cards?
- 9. Deck What is the probability of drawing a red card? of What is the probability of drawing a royalty card? What is the probability of drawing a red or black card? Cards What is the probability of drawing a green card?
- 10. Probability Marbles
- 11. Mrs. Weir has a bag of Mrs. Diehl has a bag of marbles. It has 14 red, marbles. Her bag has 16 green and 12 blue. 6 cat’s eyes, 4 tiger’s What is the eye, and 12 yellow probability of you marbles. What is the choosing a red probability of you marble? drawing a cat’s eye?
- 12. 1. How do you find the probability of an event? 2. How do people use probability in their everyday lives?