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 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:
- 1exactly equal to 12
- 2greater than 14 but less than 12
- 3greater than 12✓
- 4greater than 18 but less than 14
Correct answer
greater than 12
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