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Q.

If A and B are events of a random experiment with P(A)=0.5,P(B)=0.4 and P(AB)=0.3, then the probability that neither A nor B occur is 

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a

0.8

b

0.04

c

0.2

d

0.4

answer is B.

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Detailed Solution

P(A)=0.5,P(B)=0.4,P(AB)=0.3

P(niether A nor B) is

=1P(AB)=1P(A)P(B)+P(AB)=10.50.4+0.3=0.4

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