Two balanced dice are rolled simultaneously. | vedclass

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Question

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

Vedclass · Accepted Answer

$\frac{1}{36}$

Vedclass · Answer

(A) When two balanced dice are rolled,the total number of possible outcomes is $6 	imes 6 = 36$.The sample space $S$ is given by: $S = \{(1,1), (1,2), \dots, (6,6)\}$.We are looking for the event $E$ where the sum of the numbers on the two dice is $12$.The only outcome that satisfies this condition is $(6, 6)$.Thus,the number of favorable outcomes is $n(E) = 1$.The probability $P(E)$ is calculated as: $P(E) = \frac{n(E)}{n(S)} = \frac{1}{36}$.

Two balanced dice are rolled simultaneously. Then,the probability that the sum of numbers on the dice is $12$ is ........

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