MixedHardQuestion 270018
Question
If A and B are independent, P(A) = 0.4, P(B) = 0.5, then P(A ∪ B) is:
- A0.7Correct
- B0.9
- C0.2
- D0.5
Correct answer
0.7
Explanation
P(A ∪ B) = P(A) + P(B) − P(A ∩ B) = 0.4 + 0.5 − (0.4 × 0.5) = 0.9 − 0.2 = 0.7.
Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.
P(A ∪ B) = P(A) + P(B) − P(A ∩ B) = 0.4 + 0.5 − (0.4 × 0.5) = 0.9 − 0.2 = 0.7.