📐 Mathematics · Probability (Class 11) · JEE

If P(A) = 0.5, P(B) = 0.4 and P(A ∪ B) = 0.7, then P(A ∩ B) is:

Answer: 0.2.

Correct answer: D. 0.2

Explanation: Rearranging the addition rule: P(A ∩ B) = 0.5 + 0.4 − 0.7 = 0.2.

Concept context

Random experiments, sample space, events, and the axiomatic approach to probability