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  • If P(A ∩ B) = 7|10 and P(B) = 17|20, then P(A|B) equals A. 14|17 B. 17|20 C. 7|8 D. 1|8

If P(A ∩ B) = 7|10 and P(B) = 17|20, then P(A|B) equals
A. 14|17
B. 17|20
C. 7|8
D. 1|8

Answers (1)

Given-

\begin{aligned} &P(B)=\frac{17}{20}\\ &P(A \cap B)=\frac{7}{10}\\ &\text { As we know, }\\ &\mathrm{P}(\mathrm{A} \mid \mathrm{B}) \times \mathrm{P}(\mathrm{B})=\mathrm{P}(\mathrm{A} \cap \mathrm{B}) \text { [Property of Conditional Probability] }\\ &P(A \mid B) \times \frac{17}{20}=\frac{7}{10}\\ &P(B \mid A)=\frac{7}{10} \times \frac{20}{17}\\ &P(B \mid A)=\frac{14}{17} \end{aligned}

Hence, Correct option is A

Posted by

infoexpert22

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