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  • If A and B are any two events such that P (A) + P(B) - P (A and B) = P (A), then

Q. 19.     If A and B are any two events such that P(A)+P(B)-P(A \; and\; B)=P(A), then

               (A) P(B\mid A)=1

                (B) P(A\mid B)=1

                (C) P(B\mid A)=0

                (D) P(A\mid B)=0

Answers (1)

best_answer

P(A)+P(B)-P(A \; and\; B)=P(A),

P(A)+P(B)-P(A\cap B)=P(A)

\Rightarrow \, \, \, P(B)-P(A\cap B)=0

\Rightarrow \, \, \, P(B)=P(A\cap B)

P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{P(B)}{P(B)}=1

Option B is correct.

Posted by

seema garhwal

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