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Probability

Question
CBSEENMA12033588

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,         P(A ∪ B) = straight P left parenthesis straight A right parenthesis plus straight P left parenthesis straight B right parenthesis minus straight P left parenthesis straight A intersection straight B right parenthesis space equals space 0.8 plus 0.5 minus 0.32 space space space space left square bracket because space of space left parenthesis straight i right parenthesis right square bracket
                                 = 0.98                              

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