When 2 fair dice are rolled what is the probability of getti

When 2 fair dice are rolled, what is the probability of getting a total of 9.

Solution

When a fair die is rolled, each number has an equal probability of appearing. When 2 dice are rolled, the sum can be 9 in the following ways: {3, 6}, {6, 3}, {5, 4}, {4, 5}

The probability of each of these events taking place is [(1/6)*(1/6) = 1/36] .

The probability that the sum is 9 when two fair dice are rolled is 1/9