The document discusses key concepts in probability such as random experiments, outcomes, sample spaces, events, types of events including impossible, sure, simple, and compound events. It also covers algebra of events including unions, intersections, complements and mutually exclusive events. The document defines mutually exclusive and exhaustive events. Finally, it introduces the axiomatic approach to defining probability as a function that satisfies three axioms.
The document discusses key concepts in probability such as random experiments, outcomes, sample spaces, events, and the axiomatic approach to probability. It provides examples of random experiments like tossing a coin or rolling a die. An outcome is a possible result of an experiment, and a sample space is the set of all possible outcomes. Events can be simple, compound, impossible, or sure depending on the number of outcomes they include. The document also discusses mutually exclusive and exhaustive events and how probability can be defined through axioms about events and their probabilities.
What does it mean for an event to have occurred? This slide builds on the previous slide deck on event and explains the above question with an example.
06 Probability Simple and Compound EventsDhruvSethi28
Simple and compound events are defined and explored with the help of an example of two coin tossing examples. These two types of events are fundamental to the understanding of probability theory
08 probability mutually exclusive eventsDhruvSethi28
Here we explore mutually exclusive events starting with its definition and exploring the concept with an example. The example used is the rolling of a die
The definition of probability of an event is explored here as a part of the axiomatic approach to probability. We also take a look at probability of equally likely events occurring.
Chapter – 15 probability maths || CLASS 9 || The World Of presentation youtub...NishitGajjar7
This document defines probability and provides examples of calculating probability through experiments involving coin tossing and dice rolling. It states that probability is a measure between 0 and 1 of the likelihood of an event occurring, with 0 being impossible and 1 being certain. The basic probability formula is defined as the number of favorable outcomes divided by the total number of possible outcomes. Experiments are defined as procedures that can be repeated with a set of possible outcomes, with each repetition being a trial. The probability of an event is calculated by taking the number of outcomes where the event occurs and dividing by the total number of outcomes.
The document discusses different types of probability events:
- Sure events have a probability of 1 and will always occur. Impossible events have a probability of 0.
- Complementary events cover all possible outcomes such that one event must occur.
- Mutually exclusive events cannot occur together, while mutually inclusive events can occur simultaneously.
- Exhaustive events together cover all possible outcomes such that one is sure to occur. Equally likely events have outcomes that are equally possible.
- An example calculates the probability of randomly selecting a number greater than 13 from numbers 1 to 25. The probability is 12/25.
The document discusses key concepts in probability such as random experiments, outcomes, sample spaces, events, types of events including impossible, sure, simple, and compound events. It also covers algebra of events including unions, intersections, complements and mutually exclusive events. The document defines mutually exclusive and exhaustive events. Finally, it introduces the axiomatic approach to defining probability as a function that satisfies three axioms.
The document discusses key concepts in probability such as random experiments, outcomes, sample spaces, events, and the axiomatic approach to probability. It provides examples of random experiments like tossing a coin or rolling a die. An outcome is a possible result of an experiment, and a sample space is the set of all possible outcomes. Events can be simple, compound, impossible, or sure depending on the number of outcomes they include. The document also discusses mutually exclusive and exhaustive events and how probability can be defined through axioms about events and their probabilities.
What does it mean for an event to have occurred? This slide builds on the previous slide deck on event and explains the above question with an example.
06 Probability Simple and Compound EventsDhruvSethi28
Simple and compound events are defined and explored with the help of an example of two coin tossing examples. These two types of events are fundamental to the understanding of probability theory
08 probability mutually exclusive eventsDhruvSethi28
Here we explore mutually exclusive events starting with its definition and exploring the concept with an example. The example used is the rolling of a die
The definition of probability of an event is explored here as a part of the axiomatic approach to probability. We also take a look at probability of equally likely events occurring.
Chapter – 15 probability maths || CLASS 9 || The World Of presentation youtub...NishitGajjar7
This document defines probability and provides examples of calculating probability through experiments involving coin tossing and dice rolling. It states that probability is a measure between 0 and 1 of the likelihood of an event occurring, with 0 being impossible and 1 being certain. The basic probability formula is defined as the number of favorable outcomes divided by the total number of possible outcomes. Experiments are defined as procedures that can be repeated with a set of possible outcomes, with each repetition being a trial. The probability of an event is calculated by taking the number of outcomes where the event occurs and dividing by the total number of outcomes.
The document discusses different types of probability events:
- Sure events have a probability of 1 and will always occur. Impossible events have a probability of 0.
- Complementary events cover all possible outcomes such that one event must occur.
- Mutually exclusive events cannot occur together, while mutually inclusive events can occur simultaneously.
- Exhaustive events together cover all possible outcomes such that one is sure to occur. Equally likely events have outcomes that are equally possible.
- An example calculates the probability of randomly selecting a number greater than 13 from numbers 1 to 25. The probability is 12/25.
This document introduces the principles of mathematical induction. It explains that induction can be used to prove statements for all natural numbers if (1) the statement is true for n=1, and (2) if the statement is true for an integer k, then it is also true for k+1. The document provides an example to prove the formula for the sum of squares from 1 to n using induction. It shows that the formula is true for the base case of n=1, and assumes the formula is true for an integer k to prove it is also true for k+1.
Here various operations which are available in set theory are performed on events. Here we can combine different events with a union, perform an intersection between different events, explore their complement etc
Here we explore definitions of the impossible event, the sure event, the simple event and the compound event. To understand these events deeper please look at subsequent slides
An event E is a subset of the sample space S. In these slides, I define an event and give examples of different types of events along with their corresponding subsets of S
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
How to Make a Field Mandatory in Odoo 17Celine George
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.
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This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Executive Directors Chat Leveraging AI for Diversity, Equity, and InclusionTechSoup
Let’s explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
This document introduces the principles of mathematical induction. It explains that induction can be used to prove statements for all natural numbers if (1) the statement is true for n=1, and (2) if the statement is true for an integer k, then it is also true for k+1. The document provides an example to prove the formula for the sum of squares from 1 to n using induction. It shows that the formula is true for the base case of n=1, and assumes the formula is true for an integer k to prove it is also true for k+1.
Here various operations which are available in set theory are performed on events. Here we can combine different events with a union, perform an intersection between different events, explore their complement etc
Here we explore definitions of the impossible event, the sure event, the simple event and the compound event. To understand these events deeper please look at subsequent slides
An event E is a subset of the sample space S. In these slides, I define an event and give examples of different types of events along with their corresponding subsets of S
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
How to Make a Field Mandatory in Odoo 17Celine George
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Executive Directors Chat Leveraging AI for Diversity, Equity, and InclusionTechSoup
Let’s explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
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How to Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
2. Impossible and sure events
• The empty set and the sample space S are two subsets of S.
• The empty set is called an impossible event.
• The entire sample space S is called the sure event
3. Impossible events
• For an example, let us consider the rolling of a die. The associated sample
space is
S = {1, 2, 3, 4, 5, 6}
• Let E be the event “The number appears on the die is a multiple of 7”
• Clearly, no outcome satisfies the condition given in the event E. Thus the
empty set only corresponds to the event E.
• Therefore we say the event E is an impossible event
4. sure events
• Let’s take another event F: “The number turns up is odd or event”
• Therefore F = {1, 2, 3, 4, 5, 6}
• Thus the event F=S is called a sure event
5. types of events
• You can contact me for private or group tuitions from the details below
• By Dhruv Sethi: +91 9310805977/dhrsethi1@gmail.com
• Whatsapp: +91 8291687783