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Question

Mathematics Question on Conditional Probability

If A and B are two incidencies and P (A) = 38,P(B)=12,P(AB)=14\frac{3}{8} , P(B) = \frac{1}{2}, P(A \cap B) = \frac{1}{4} , then the value of P(AB)P(A' \cup B') is

A

38\frac{3}{8}

B

34\frac{3}{4}

C

14\frac{1}{4}

D

58\frac{5}{8}

Answer

34\frac{3}{4}

Explanation

Solution

P(AB)=P((AB))=1P(AB)=114=34P (A' \cup B') = P ((A \cap B)') = 1 - P(A \cap B) = 1 - \frac{1}{4} = \frac{3}{4}.