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The probabilities of winning a race by three persons A, B, and C are 1214, and 14, respectively. They run two races. The probability of A winning the second race when  B, wins the first race is

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a
1/3
b
1/2
c
1/4
d
2/3

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detailed solution

Correct option is B

The probability of winning of A the second race is 1/2 (since both events are independent).


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Let A, B, C be three mutually independent events. Consider  the two statements S1 and S2.
S1: A and BC are independent
S2: A and BC are independent
Then,


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