Two unbiased dice are thrown once. Write all | vedclass

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(A) All the possible outcomes in the experiment of throwing two unbiased dice are as follows:$(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)$$(2, 1),

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$0$

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(A) All the possible outcomes in the experiment of throwing two unbiased dice are as follows:$(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)$Hence,the total number of elementary outcomes is $36$.Let event $J$ be: 'The sum of numbers on two dice is smaller than $2$.'The minimum sum of numbers on two dice is $1 + 1 = 2$.Since the sum of numbers on two dice is always from $2$ to $12$,it is never smaller than $2$.Therefore,event $J$ is an impossible event.The probability of an impossible event is $0$.Thus,$P(J) = 0$.

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 smaller than $2$?

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