Question

Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.

Answer 1

When two different dice are thrown, then total number of outcomes = 36.

Let E₁ be the event of getting the sum of the numbers on the two dice is 10.

These numbers are (4, 6), (5, 5) and (6, 4).

Number of Favourable outcomes = 3

∴ P(getting the sum of the numbers on the two dice is 10) `= P(E_1)= "Number of outcomes favourable to" E_1/Number of all possible `

`=3/356 = 1/12`
                                                                                               `= 1/12`

Thus, the probability of getting the sum of the numbers on the two dice is 10 is `1/12`