Probability — Chapter Summary
Telangana Open School (TOSS) · Class 12 · Mathematics
Summary of Probability for Telangana Open School (TOSS) Class 12 Mathematics. Part of the Telangana Open School (TOSS) Class 12 Mathematics syllabus.
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Overview
Probability is a branch of mathematics that deals with the likelihood of events occurring. It helps us quantify uncertainty in real-life situations such as weather forecasting, games of chance, and decision-making. In this chapter, we explore the foundational concepts of probability including random
Key Concepts
An experiment that can be repeated
An experiment that can be repeated under identical conditions where all possible outcomes are known in advance, but the exact outcome cannot be predic
The set of all possible outcomes
The set of all possible outcomes of a random experiment. It is denoted by 'S'. For example, when a die is rolled, S = {1, 2, 3, 4, 5, 6}.
A subset of the sample space
A subset of the sample space. For example, getting an even number when a die is rolled is an event containing outcomes {2, 4, 6}.
Equally likely events have the same
Equally likely events have the same chance of occurring. Mutually exclusive events cannot happen at the same time. Exhaustive events cover all possibl
If a random experiment has 'n'
If a random experiment has 'n' equally likely, exhaustive, and mutually exclusive outcomes, and 'm' of them are favorable to event A, then P(A) = m/n.
Learning Objectives
- Define random experiment and sample space
- Differentiate between equally likely, mutually exclusive, exhaustive, independent, and dependent events
- Calculate the probability of events using classical definition
- Apply addition and multiplication theorems of probability
- Solve problems involving conditional probability and Bayes' theorem
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