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.

Step-by-step 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

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.