JEE Main 202225 Jul, Evening shiftMathematicsMediumStatistics and Probability258× since 2002If AAA and BBB are two events such that P(A)=13,P(B)=15P(A)=\frac{1}{3}, P(B)=\frac{1}{5}P(A)=31,P(B)=51 and P(A∪B)=12P(A \cup B)=\frac{1}{2}P(A∪B)=21, then P(A∣B′)+P(B∣A′)P\left(A \mid B^{\prime}\right)+P\left(B \mid A^{\prime}\right)P(A∣B′)+P(B∣A′) is equal to :AOption A. 34\frac{3}{4}43BOption B. 58\frac{5}{8}85COption C. 54\frac{5}{4}45DOption D. 78\frac{7}{8}87CheckSkip · show solution