InterviewSolution
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InterviewSolution
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Let A and B be two events such that `p( bar AuuB)=1/6, p(AnnB)=1/4`and `p( bar A)=1/4`, where ` bar A`stands forthecomplement of the event A. Then the events A and Bare(1) mutually exclusive and independent (2) equally likely but not independent(3) independentbut not equally likely (4)independent and equally likely |
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Answer» `P( bar (A uu B) = 1/6` `1- P(A uu B) =1/6` `P(A uu B) = 5/6` `P(bar A) = 1/4` `1- P(A) = 1/4` `P(A) = 3/4` `P(A uu B) = P(A) + P(B) - P(A nn B)` `5/6 = 3/4 + P(B) - 1/4` `P(B) = 5/6 - 1/2 = 2/6 = 1/3` `P(A nn B) = P(A)P(B)` `= 3/4 xx 1/3 = 1/4 ` A & B are independent events `P(A) = 3/4` `P(B)= 1/3` `P(A) != P(B) ` option 3 is correct |
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