Two unbiased dice are thrown once. Write all | vedclass

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(B) When two unbiased dice are thrown,the total number of possible outcomes is $6 	imes 6 = 36$. The sample space $S$ is given by:$S = \{(1,1), (1,2)

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$\frac{1}{6}$

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(B) When two unbiased dice are thrown,the total number of possible outcomes is $6 	imes 6 = 36$. The sample space $S$ is given by:$S = \{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)\}$Let event $C$ be the event that the sum of the numbers on the two dice is greater than $9$. This means the sum can be $10, 11,$ or $12$.The outcomes favourable to event $C$ are:Sum $= 10: (4,6), (5,5), (6,4)$Sum $= 11: (5,6), (6,5)$Sum $= 12: (6,6)$Thus,the number of favourable outcomes is $n(C) = 3 + 2 + 1 = 6$.The probability of event $C$ is given by $P(C) = \frac{n(C)}{n(S)} = \frac{6}{36} = \frac{1}{6}$.

Two unbiased dice are thrown once. Write all the possible outcomes of this experiment. What is the probability that the sum of numbers on two dice is greater than $9$?

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