Question

What is the probability of rolling a sum of 66 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

Answer 1

Explanation:

Given that two fair dice are tossed.

There would be in total 36 outcomes and each die is independent of the other

Sum can vary from 2 to 12

To get a sum of 6, favourable outcomes are

(1,5) (2,4) (3,3) (4,2) (5,1)

There is no other alternative

Probability of getting a sum 6 when a pair of dice is rolled

= favorable outcomes/total outcomes = 5/36

So answer is

`(5)/(36)`