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Question

Mathematics Question on Probability

If P(A)=310P(A) = \frac{3}{10}, P(B)=25P(B) = \frac{2}{5} and P(AB)=35P(A \bigcup B) = \frac{3}{5}, then P(BA)+P(AB)P(B|A)+P(A|B) is equal to:

A

512\frac{5}{12}

B

712\frac{7}{12}

C

1112\frac{11}{12}

D

13\frac{1}{3}

Answer

712\frac{7}{12}

Explanation

Solution

The correct option is (B): 712\frac{7}{12}