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