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Probability

Question
CBSEENMA12033673

A die is tossed twice. Find, the probability of ‘a number greater than 4’ on each dice.

Solution
Let A denote the event ‘a number greater than 4 on first toss’ and B denote the event ‘a number greater than 4 on the second toss’.
                     straight P left parenthesis straight A right parenthesis space equals space straight P left parenthesis 5 comma space 6 right parenthesis space equals space 2 over 6 space equals 1 third comma space space straight P left parenthesis straight B right parenthesis space equals space straight P left parenthesis 5 comma space 6 right parenthesis space equals space 2 over 6 space equals 1 third
Now A and B are independent.
therefore space space space straight P left parenthesis straight A space and space straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis space straight P left parenthesis straight B right parenthesis space equals 1 third cross times 1 third space equals 1 over 9.

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