roll a pair of dice about 200 times

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.
 
 
 

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

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

Answer 1

P(doubles) = 1/6  

 

So the probability of rolling doubles two times in a row is 

 

(1/6) * (1/6) = 1/36 = 0.0278