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 IV. The probabilities of the student passing in tests I, II, III are p, q and \[\frac{1}{2}\] respectively. The probability that the student is successful is \[\frac{1}{2}\] then the relation between p and q is given by

A student appears for tests I, II and III. The student is successful i

1.	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 IV. The probabilities of the student passing in tests I, II, III are p, q and \[\frac{1}{2}\] respectively. The probability that the student is successful is \[\frac{1}{2}\] then the relation between p and q is given by
A.	\[pq+p=1\]
B.	\[{{p}^{2}}+q=1\]
C.	\[pq-1=p\]
D.	None of these
Answer» B. \[{{p}^{2}}+q=1\]

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