#### Question

Two dice are thrown. Find the probability of the event that the product of numbers on their upper faces is 12.

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#### Solution

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)}

n(S) = 36

Let A = event that the product of numbers on their upper faces is 12

A = {(2,6), (3, 4), (4,3), (6,2)}

n(A) = 4

`"Probability of the event A"="Number of favourable outcomes"/"Total number of outcomes"=4/36=1/9`

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#### Reference Material

Solution for question: Two dice are thrown. Find the probability of the event that the product of numbers on their upper faces is 12. concept: Probability Examples and Solutions. For the courses SSC (English Medium), SSC (Marathi Semi-English)