Of the 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 the probability p that none of events E1, E2 or E3 occurs satisfy 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 E3Probability of occurrence of E1 =