Probability
Maharashtra Board · Class 10 · Mathematics
Quick revision notes for Probability — Maharashtra Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Random Experiment and Outcome
- A random experiment is an experiment in which all possible results are known in advance but none can be predicted with certainty, and there is equal possibility for each result.
- The result of a random experiment is called an outcome.
- Tossing a coin, throwing a die, picking a card from numbers 1 to 50, and drawing a card from a well shuffled pack of playing cards are random experiments.
2. Sample Space and Sample Point
- The set of all possible outcomes of a random experiment is called the sample space.
- Sample space is denoted by S or Ω.
- Each element of the sample space is called a sample point.
3. Event and Favourable Outcomes
- Outcomes satisfying a particular condition are called favourable outcomes.
- A set of favourable outcomes of a given sample space is an event.
- An event is a subset of the sample space.
4. Probability of an Event
- Probability is the numerical measure of the possibility of an event.
- For equally likely outcomes, probability is found by dividing favourable outcomes by total outcomes.
- For a random experiment with sample space S and event A, probability of A is P(A) = n(A)/n(S).
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