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))=______.`

Of the three independent event 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 . If the probavvility p that none of events E_(1), E_(2) or E_(3) occurs satisfy the equations (alpha - 2beta)p = alpha beta and (beta - 3 gamma) p = 2 beta gamma . All the given probabilities are assumed to lie in the interval (0, 1). Then, ("probability of occurrence of " E_(1))/("probability of occurrence of " E_(3)) is equal to

Let E and F be two independent events. The probability that exactly one of them occurs is 11//25 and the probability of none of them occurring is 2//25. If P(T) denotes the probability of occurrence of the event T, then

If P(E) = 0.10 , what is the probability of not E ?

If P(E) = 0.05, what is the probability of 'not E"?

alpha beta x ^(alpha-1) e^(-beta x ^(alpha))

If A and B are two independent events, the probability that both A and B occur is 1/8 are the probability that neither of them occours is 3/8. Find the probaility of the occurrence of A.

The probability of event A is 3//4 . The probability of event B , given that event A occurs is 1//4 . The probability of event A , given that event B occurs is 2//3 . The probability that neither event occurs is

Aa n dB are two independent events. The probability that both Aa n dB occur is 1/6 and the probability that neither of them occurs is 1/3. Find the probability of the occurrence of Adot

If P( not E) = 0.25 , what is the probability of E ?