Example 10 - Chapter 13 Class 12 Probability
Last updated at Dec. 16, 2024 by Teachoo
Independent events
Ex 13.2, 1
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Chapter 13 Class 12 Probability
Concept wise
- Conditional Probability - Values given
- Conditional Probability - Statement
- Multiplication rule of probability
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Independent events
- Basic Probability
- Theorem of total probability
- Bayes theorem
- Random Variable - Defination
- Probability distribution
- Mean or Expectation of random variable
- Variance and Standard Deviation of a Random Variable
- Bernoulli Trials
- Binomial Distribution
Transcript
Example 10 A die is thrown. If E is the event ‘the number appearing is a multiple of 3’ and F be the event ‘the number appearing is even’ then find whether E and F are independent ? A die is thrown S = {1, 2, 3, 4, 5, 6} Given two events be E : the number appear is a multiple of 3 F : the number appearing is even E : {3, 6} P(E) = 2/6 = 1/3 F : {2, 4, 6} P(F) = 3/6 = 1/2 Also, E ∩ F = {6} ∴ P(E ∩ F) = 1/6 Now, P(E) . P(F) = 1/3 × 1/2 = 1/6 = P(E ∩ F) Since, P(E ∩ F) = P(E) . P(F) Therefore, E & F are independent events
