A question of probability
Of the three independent events E1, E2, and E3, the probability that only E1 occurs is a , only E2 occurs is b and only E3 occurs is c . Let the probability p that none of events E1, E2 or E3 occurs satisfy the equations
(a - 2b) p = ab and (b - 3c) p = 2bc. All the given probabilities are assumed to lie in the interval (0, 1).
Then, Probability of occurrence of E1 )/(Probability of occurrence of E3) = ?