Q.
Events A and C are independent. If the probabilities relatingA,B, and C are P(A)=1/5,P(B)=1/6;P(A∩C)=120P(B∪C)=3/8. Then
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a
events B and C arc independent
b
events B and C arc mutually exclusive
c
events B and C arc neither independent nor mutually exclusive
d
events B and C are equiprobable
answer is A.
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Detailed Solution
P(A∩C)=P(A)P(C) or 120=15P(C) or P(C)=14now,P(B∪C)=16+14−P(B∩C)P(B∩C)=512−38=124=P(B)P(C) Therefore, B and C are independent.
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