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Question

In a race, the probabilities of A and B winning the race are 13 and 16 respectively. find the probability of neither of them winning the race.

Solution
Verified by Toppr

Given probabilities of winning of A and B: P(A)=13 and P(B)=16
Probability of neither of them winning the race :1P(AB)
Now since the event is mutually exclusive, therefore
P(AB)=P(A)+P(B)=13+16=12
Hence, 1P(AB)=112=12
Probability of neither of them winning the race :12

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