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Question: Answered & Verified by Expert
$P(A)=\frac{3}{8}, \quad P(B)=\frac{5}{8}$ and $P(A \cup B)=\frac{3}{4}$, then $P\left(\frac{A}{B}\right)=$
If $A$ and $B$ are two events such that
MathematicsProbabilityJEE Main
Options:
  • A $\frac{2}{5}$
  • B $\frac{2}{3}$
  • C $\frac{3}{5}$
  • D None of these
Solution:
1835 Upvotes Verified Answer
The correct answer is: $\frac{2}{5}$
$P(A / B)=\frac{P(A \cap B)}{P(B)}=\frac{(3 / 8)+(5 / 8)-(3 / 4)}{(5 / 8)}=\frac{2}{5}$

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