Of the three independent events `E_(1),E_(2),and E_(3),` the probability that only `E_(1)` occurs is `alpha` only `E_(2)` occurs is `beta,` and only `E_(3)` occurs is `gamma.` Let the probability p that none of events `E_(1),E_(2), or E_(3)` occurs satisfy the equations `(alpha-2beta)p=alpha betaand (beta-3gamma)p=betagamma.` All the given probabilities are assumed to lie in the interval `(0,1).` Then
`("Probability of occurrence of"E_(1))/("Probability of occurence of"E_(3))=______.`

Answer

D