question_answer

A student appears for test 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 test I, II and III are p, q and \[\frac{1}{2}\]respectively. If the probability that the student is successful is,\[\frac{1}{2}\]then:

A)  \[p=q=1\]                   

B)  \[p=q=1\]

C)  \[p=1,\,\,q=0\] 

D)  \[p=1,\,\,q=\frac{1}{2}\]

E)  None of these