Two dice are rolled once. Find the probability of getting such numbers on the two dice, whose product is 12.

Question

Philoid · Accepted Answer

Two dice are thrown, then the sample space will be:

S = { (1,1), (1,2),…, (1,6), (2,1), (2,2),…, (2,6), (3,1),…, (3,6), (4,1),…, (4,6),

(5,1),…, (5,6), (6,1),…, (6,6)}

∴ Two dice can be thrown in 6 × 6 = 36 ways

Now, pairs whose product is 12 are: (2, 6), (3, 4), (4, 3), (6, 2).

Number of ways such that the product of two numbers on two dice is 12 = 4

Probability that the product of numbers on two dice is 12 =

= 4/36

= 1/9