📐 Mathematics · Probability (Class 11) · JEE

Two events A and B satisfy P(A) = 0.4, P(B) = 0.7 and P(A ∪ B) = 1. What is P(A ∩ B)?

Answer: 0.1.

Correct answer: D. 0.1

Explanation: P(A ∩ B) = P(A) + P(B) − P(A ∪ B) = 0.4 + 0.7 − 1 = 0.1.

Concept context

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