Probability
ICSE · Class 11 · Mathematics
Quick revision notes for Probability — ICSE Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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1. Basic Ideas: Experiment, Random Experiment, Sample Space, and Event
- An experiment is an operation that produces well-defined outcomes.
- A random experiment has more than one possible outcome, and the outcome cannot be predicted in advance.
- The sample space is the set of all possible outcomes of a random experiment and is denoted by S.
2. Types of Events
- Sure/Certain event is the whole sample space.
- Impossible event is the empty set phi.
- An elementary or simple event has exactly one element.
3. Classical and Axiomatic Approaches to Probability
- The classical approach is used when outcomes are equally likely.
- The axiomatic approach defines probability as a real-valued function on the power set of S with range [0,1].
- In the axiomatic approach, P(E) is always non-negative and P(S) = 1.
4. Card Facts and Standard Deck Information
- A standard deck has 52 cards.
- There are 4 suits: Spades, Hearts, Clubs, Diamonds.
- Each suit has 13 ranks.
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