Probability
Telangana Open School (TOSS) · Class 12 · Mathematics
Quick revision notes for Probability — Telangana Open School (TOSS) Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Random Experiment and Sample Space
- A random experiment is one that can be repeated under identical conditions, but its outcome cannot be predicted beforehand.
- All possible outcomes of a random experiment are known in advance.
- The set of all possible outcomes is called the sample space (S).
Types of Events
- An event is a subset of the sample space.
- Equally likely events have the same chance of occurring.
- Mutually exclusive events cannot happen at the same time.
Classical Definition of Probability
- Probability of an event = Number of favorable outcomes / Total number of possible outcomes.
- This applies only when all outcomes are equally likely.
- Probability values range from 0 (impossible) to 1 (certain).
Addition and Multiplication Rules
- Addition Rule: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
- If A and B are mutually exclusive, P(A ∩ B) = 0, so P(A ∪ B) = P(A) + P(B)
- Multiplication Rule: P(A ∩ B) = P(A) × P(B|A)
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