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Question

A is one of the 6 horses entered for a race and is to be ridden by one of two jockeys B or C. It is 2 to 1 that B rides A, in which case all the horses are equally likely to win, if C rides A, his chance is trebled, Then the odds against his winning are

A
513
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B
185
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C
1318
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D
135
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Solution

The correct option is D 135
When B rides A probability of winning of
A=23×16
When C rides A probability of winning of
A=13×16×3
P(A)=218+16=518
Now odds against his winning =1855=135

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