Ex 13.2, 5 - Chapter 13 Class 12 Probability
Last updated at April 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
Ex 13.2, 5 A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, ‘the number is even,’ and B be the event, ‘the number is red’. Are A and B independent?Here, S = {"1, 2, 3" ," 4, 5, 6" } Let two events be A : the Number is even B : the number is red Event A A = {"2, 4, 6" } P(A) = 3/6=1/2 Event A A = {"2, 4, 6" } P(A) = 3/6=1/2 Also, A ∩ B = {2} So, P(A ∩ B) = 1/6 Now, P(A) . P(B) = 1/2 ×1/2 = 1/4 ≠ P(A ∩ B) Since P(A ∩ B) ≠ P(A) . P(B) Therefore, A and B are not Independent
