Probability Part 1

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 occur 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 ‌E1

‌ probability of occurrence of ‌E3

is equal to ..........