Q . A student appear for test 1, 11 and 111. The student is success till if he p

Question

Q . A student appear for test 1, 11 and 111. The student is success till if he passes either in test I and II or tests I & III. The probabilities of the student passing I, II, Ill are p. q and 1/2 respectively. If the probabilities that the student is successful is 1/2 then.
(A) p=1, q=0 (B) p=2/3, q=1/2
(C) p= 3/5, q= 2/3 (D) there are infinitely many values of p & q

Explanation / Answer

(d) P(sucess) = pq +p (1/2) => 1/2 = pq+p/2 => p(2q+1)=1 => p= 1/(2q+1) for different values of q we get different values of p... hence the answer is d but if this a multiple answer correct then ans should be a,b,c,d

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