Q. 595.0( 1 Vote )

If P(A) = 2|5, P( A. 5|6

B. 5|7

C. 25|42

D. 1

Correct

Answer :

We have,

P(A’|B’) × P(B’) = P(A’ ∩ B’)

…(i)

P(B’|A’) × P(A’) = P(B’ ∩ A’)

…(ii)

On multiplying eq. (i) and (ii), we get

[∵P(A’ ∩ B’) = P[(A ∪ B)’]= 1 – P(A ∪ B)]

[Additive law of Probability]

Hence, the correct option is C

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If P(A) = 2|5, P( A. 5|6B. 5|7C. 25|42D. 1Correct