If you roll two fair six-sided dice, what is the probability that the dice show the same number?

Answer 1

6 doubles out of 36 possible throws, so ...

Answer 2

Look at the matrix of outcomes of tossing two dice.
there are 6 cases where the numbers are the same, e.g. (4,4)
so
prob(your event) = 6/36 = 1/6