If A and B are two events such that P(A) = 0.7, P(B) = 0.4 and P(… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 8 April, Shift 2Conditional Probability & Bayes Theorem

If $A$ and $B$ are two events such that $P(A) = 0.7$ , $P(B) = 0.4$ and $P\left( A \cap \overline{B} \right) = 0.5$ , where $\overline{B}$ denotes the complement of $B$ , then $P\left( B \mid \left( A \cup \overline{B} \right) \right)$ is equal to

A
$\frac{1}{2}$
B
$\frac{1}{4}$
C
$\frac{1}{3}$
D
$\frac{1}{6}$

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