Two unbiased dice are thrown once. Write all | vedclass

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(D) 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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$\frac{5}{36}$

Vedclass · Answer

(D) 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 $A$ be the event that the sum of the numbers on the two dice is $8$.The outcomes favourable to event $A$ are $(2,6), (3,5), (4,4), (5,3), (6,2)$.The number of favourable outcomes is $n(A) = 5$.The probability of event $A$ is given by $P(A) = \frac{n(A)}{n(S)} = \frac{5}{36}$.

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 $8$?

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