Streaks and the Gamblers fallacy

Question

You are playing a board game where you roll a pair of dice about 200 times. During the course of the game you roll doubles two times in a row.

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

?(Express as a decimal rounded to four decimal places.)

Answer 1

Probability of rolling double two : 1/6 *1/6 = 1/36.

 

twice in a row:  1/36 * 1/36 = 1/1296.

 

.0008