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A is one among 8 horses in a race. A is ...

A is one among 8 horses in a race. A is to be ridden by one of the 3 jockeys P,Q,R. If P rides A all the horses are equally likely to win. If Q rides A, his chances are doubled and if R rides A, his chances are tripled. A die is rolled, if 1 or 2 or 3 appears then P rides A, if 4 or 5 appears then Q rides A, otherwise R rides A. Then the probability that A wins is
(A)`1/2` (B) `3/ 16` (C) `5/ 24`

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