Q. 105.0( 3 Votes )

If A and B are two independent events such that P (A B) = 0.60 and P(A)= 0.2, find P(B).

Answer :

Given that A and B are independent events,



We know that,


P (A B)=P(A)+P(B)–P(AB)


Therefore,


P (A B)=P(A)+P(B)–P(AB)


=P(A)+P(B)–[P(A)*P(B)]


0.6=0.2+P(B)–0.2P(B)


0.6–0.2=P(B)[1–0.2]


0.4=P(B)*0.8



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