-->

Probability

Question
CBSEENMA12033587

If P( A) = 0.8,   P(B) = 0.5 and  P(B | A) = 0.4, find P(A | B).

Solution

Here, P(A) = 0.8,   P(B) = 0.5,  P(B | A) = 0.4
Now,             straight P left parenthesis straight A space left enclose straight B right parenthesis end enclose space equals fraction numerator straight P left parenthesis straight A space intersection space straight B right parenthesis over denominator straight P left parenthesis straight B right parenthesis end fraction space equals space fraction numerator 0.32 over denominator 0.5 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open square brackets because space of space left parenthesis straight i right parenthesis close square brackets
                                   equals space 32 over 100 cross times 10 over 5 space equals 16 over 25 space equals space 0.64

Some More Questions From Probability Chapter