Rolling Doubles

Count outcomes where both dice show the same number.

There are 6 such outcomes out of 36 total.

1. 1. Count doubles

   There are 6 outcomes of the form $(k,k)$ for $k=1,\dots ,6$.

2. 2. Total outcomes

   There are 36 equally likely outcomes total.

3. 3. Probability

   $P=6/36=1/6$.

   $$P=\frac{1}{6}$$

Answer: 1/6