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Of the three independent eventsE(1) , E(...

Of the three independent events`E_(1) , E_(2) and E_(3) `the probability that only` E_(1)`occurs is` beta `and only` E_(3) `occurs is` gamma`. Let the probability` p`that none of the events ` E_(1),E_(2), "or" E_(3) `occurs satisfy the equations` (alpha - 2 beta)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))`

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The correct Answer is:
`(P(E_(1)))/(P(E_(3)))=6`
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