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 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, \(\frac{\text{Probability of occurrence of}\,E_1}{\text{Probability of occurrence of}\,E_3}\) is equal to _______.
