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Probability

Question
CBSEENMA12033712

Balwant and Kulwant appeared for an interview. The probability of their selection is 1 third space and space 1 fifth respectively. Find the probability both selected.

Solution

Let A : Balwant is selected
B : Kulwant is selected
therefore space space space straight P left parenthesis straight A right parenthesis space equals space 1 third comma space space straight P left parenthesis straight B right parenthesis space equals 1 fifth
Clearly A and B are independent.
P(both selected)  =   straight P left parenthesis straight A intersection straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis. space straight P left parenthesis straight B right parenthesis
                             equals space 1 third cross times 1 fifth space equals 1 over 15

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