Question

Two diced are rolled. What is the theoretical probability that the sum is 11

Answer 1

1/18

Step-by-step explanation

There are 36 possible outcomes for the two dice: 6 possible outcomes for each die.

The only ways there are for the dice to sum 11, is that the first die is 5 and the second is 6, or the other way around. So, the two favorable outcomes are (5, 6) and (6, 5).

The theoretical probability is,

`P=\frac{\text{favorable outcomes}}{\text{possible outcomes}}=(2)/(36)=(1)/(18)`

Hence, the probability that the sum of two rolled dice is 11, is 1/18