Q 1212112930.     A student appears for tests `I, II and III`. The student is successful if he passes either in tests `I` and `II` or tests `I` and `III`. The probabilities of the student passing in tests `I, II` and `III` are `p , q` and `12` respectively. If the probability that the student is successful, is `1/2`., then

A

`p = q = 0.5`

B

`p = 1,q = 0`

C

`p = 1,q = 0.5`

D

`p = q = 1`

HINT

Let `A, B, C` denote the events of passing the tests `I`, `II` and `III` respectively. Evidently `A, B, C` are independent events. According to given condition `1/2 = P[( A ∩ B ) ∪ ( A ∩ C ) ]`

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