Questions
Let A, B, C be three mutually independent events. Consider the two statements S1 and S2.
S1: A and are independent
S2: A and are independent
Then,
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Correct option is A
P[A∩(B∪C)]=P[(A∩B)∪(A∩C)]=P(A∩B)+P(A∩C)−P(A∩B∩C)=P(A)P(B)+P(A)P(C)−P(A)P(B)P(C)=P(A)[P(B)+P(C)−P(B∩C)]=P(A)P(B∪C) Therefore, S1 is true. P(A∩(B∩C))=P(A)P(B)P(C)=P(A)P(B∩C) Therefore, S2 is also true.Similar Questions
The probabilities of winning a race by three persons A, B, and C are , , and , respectively. They run two races. The probability of A winning the second race when B, wins the first race is
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