Probability — Revision Notes
Madhya Pradesh Board · Class 10 · Mathematics
Probability revision notes for Madhya Pradesh Board Class 10 Mathematics: 4 topics in quick points. Includes Basic Idea of Probability, Important.
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Key Topics to Revise
1. Basic Idea of Probability
- A fair coin is symmetrical, so there is no reason for it to come down more often on one side than the other.
- A random toss means the coin falls freely without bias or interference.
- For a fair coin, head and tail are equally likely outcomes.
2. Important Definitions and General Rules
- An event having only one outcome of the experiment is called an elementary event.
- The sum of the probabilities of all elementary events of an experiment is 1.
- For any event E, the probability of not E is 1 - P(E).
3. Standard Examples from Coins, Dice, Balls, and Cards
- For one coin toss, the outcomes are head and tail, so P(head) = 1/2 and P(tail) = 1/2.
- For a bag with a red, blue, and yellow ball, Kritika has probability 1/3 of drawing any one specific colour.
- For a die, getting a number greater than 4 has 2 favourable outcomes: 5 and 6, so probability is 2/6 = 1/3.
4. Complementary Events and Direct Applications
- If the probability of one event is given, the probability of its complement can be found quickly.
- If Sangeeta's probability of winning is 0.62, then Reshma's probability of winning is 0.38.
- For two friends, Savita and Hamida, the probability that their birthdays are different is 364/365.
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