Answer to Question #298478 in Statistics and Probability for Lester San Juan

Question

A pair of dice is rolled thrice. What is the probability of getting doubles in the three rolls?

Answer 1

When throwing a pair of dice, since each die has six possibilities, there are $6^2=36$ outcomes.

Also, there are 6 ways of getting a double. So the probability of getting a double is $6/36=1/6.$ 6

The probability of getting three doubles in a row is

$$P(three\ doubles)=(1/6)^3=1/216$$