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 Events A and C are independent. If the probabilities relatingA,B, and C are P(A)=1/5,P(B)=1/6;P(AC)=120

P(BC)=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

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detailed solution

Correct option is A

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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