Mathematics · Probability
Let there be three independent events E1, E2, and E3. The probability that only E1 occurs is α, only E2 occurs is β, and only E3 occurs is γ. Let 'p' denote the probability that n one of the events occur, satisfying the equations (α - 2β)p = αβ and (β - 3γ)p = 2βγ. If all the given probabilities lie in the interval (0, 1), then Probability of occurrence of E1Probability of occurrence of E3 is equal to:
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