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Q.

If A and B are events of a random experiment such thatP(A∪B)=45 , P(A¯∪B¯)=710 and P(B)=25 , then P(A) =

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a

910

b

810

c

710

d

35

answer is C.

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Detailed Solution

P(A¯∪B¯)=710 1−P(A∩B)=710 P(A∩B)=310 P(A∪B)=45 ⇒P(A)+P(B)−P(A∩B)=45 P(A)=710
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If A and B are events of a random experiment such thatP(A∪B)=45 , P(A¯∪B¯)=710 and P(B)=25 , then P(A) =