Probability Independent Events Given Conditions

Let Bi(i=1,2,3) be three independent events in a sample space. The probability that only B1 occur is α, only B2 occurs is β and only B3 occurs is γ. Let P be the probability that none of the events Bi occurs and these 4 probabilities satisfy the equations (α−2β)P=αβ and (β−3γ)P=2βγ( All the probabilities are assumed to lie in the interval (0,1) ). Then, ‌

P(B1)

P(B3)

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