Ex 13.2, 10 - P(A) = 1/2, P(B) = 7/12, P(not A or not B) =  1/4 - Ex 13.2

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  1. Chapter 13 Class 12 Probability
  2. Serial order wise

Transcript

Ex 13.2, 10 Events A and B are such that P (A) = 1﷮2﷯ , P(B) = 7﷮12﷯ and P(not A or not B) = 1﷮4﷯ . State whether A and B are independent ? Two events A & B are independent if P(A ∩ B) = P(A) . P(B) Given, P(A) = 1﷮2﷯ , P(B) = 7﷮12﷯ & P(not A or not B) = 1﷮4﷯ Now, P(not A or not B) = P(A’ or B’) 1﷮4﷯ = P(A’ ∪ B’) 1﷮4﷯ = P(A ∩ B)’ 1﷮4﷯ = 1 – P(A ∩ B) P(A ∩ B) = 1 – 1﷮4﷯ = 3﷮4﷯ Also, P(A) . P(B) = 1﷮2﷯ × 7﷮12﷯ = 7﷮24﷯ Since, P(A ∩ B) ≠ P(A) . P(B) Therefore, the events A and B are not independent

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