If A and B are two events such that P(A) = 0.7, P(B) = 0.4 and P(A B) = 0.5, where B denotes the complement of B, then P(B (A B)) is equal to:

Statistics and Probability: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q205

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumStatistics and Probability258× since 2002

If A and B are two events such that

P(A) = 0.7

P(B) = 0.4

and

P(A \cap \overline{B}) = 0.5

, where

\overline{B}

denotes the complement of B, then

P(B \mid (A \cup \overline{B}))

is equal to: