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Let there by 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 of none of events occurs that satisfies the equations (α−2β)p=αβ and (β−3γ)p=2βγ. All the given probabilities are assumed to lie in the interval (0,1)Then, probability of occurrence of E1probability of occurrence of E3 is equal to

Answer» Let there by 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 of none of events occurs that satisfies the equations (α2β)p=αβ and (β3γ)p=2βγ. All the given probabilities are assumed to lie in the interval (0,1)

Then, probability of occurrence of E1probability of occurrence of E3 is equal to


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