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Let A and B arc events of an experiment and P(A)=1/4P(AB)=1/2, then value of PB/Ac is

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a
2/3
b
1/3
c
5/6
d
1/2

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detailed solution

Correct option is B

P(A)=14,P(A∪B)=12PBAC=PB∩ACPAC           =P(A∪B)−P(A)1−P(A)                         [∵P(A∪B)+P(B)−P(A∩B)]           =12−141−14=14×43=13


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