Mathematics · Probability
Let A, B and C be three events such that the probability that exactly one of A and B occurs is (1 - k), the probability that exactly one of B and C occurs is (1 - 2k), the probability that exactly one of C and A occurs is (1 - k), and the probability that all three events A, B and C occur simultaneously is k2, where 0 < k < 1. Then the probability that at least one of A, B and C occurs is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1exactly equal to 1/2
- 2greater than 1/4 but less than 1/2
- 3greater than 1/2✓
- 4greater than 1/8 but less than 1/4
Correct answer
greater than 1/2
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