You are playing a board game where you roll a pair of dice about 250 times.

Question

You are playing a board game where you roll a pair of dice about 250 times. During the course of the game you roll doubles two times in a row.

What is the probability of rolling doubles two times in a row?

Answer 1

There are six doubles out of 36 possible rollings of 2 dice.  The probability of rolling consecutive doubles (e.g. 1&1 followed by 3&3, or any other double) would be (1/6)²