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Real Numbers

Question
CBSEENMA10009403

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is more than 9. 

Solution

If two dice are thrown at the same time, then possible outcomes are 36.
i.e.,    n( S) = 36.
Let A be the favourable outcomes of getting the sum of two numbers appearing on the top of the dice is more than ? They
A = {(4,6), (5,5), (6,4), (5, 6), (6,5), (6,6)}
i.e.,    n( A) = 6
Therefore,
straight P left parenthesis straight A right parenthesis space equals space fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 6 over 36 equals 1 over 6