If A and B are two events associated with a random experiment for

Question:

If A and B are two events associated with a random experiment for which P(A) = 0.60, P(A or B) = 0.85 and P(A and B) = 0.42, find P(B).

 

Solution:

Given : P(A) = 0.60, P(A or B) = 0.85 and P(A and B) = 0.42

To find : P(B)

Formula used : $P(A$ or $B)=P(A)+P(B)-P(A$ and $B)$

Substituting in the above formula we get,

$0.85=0.60+P(B)-0.42$

$0.85=0.18+P(B)$

$0.85-0.18=P(B)$

$0.67=P(B)$

$P(B)=0.67$

 

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