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Probability

Question
CBSEENMA12033709

Surjit and Sachdev appeared for an interview. The probability of their selection is 1 third space and space 1 over 6 respectively. Find the probability both selected.

Solution

Let A : Surjit is selected
B ; Sachdev 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 space 1 over 6
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 over 6 space equals 1 over 18

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