What is the probability of rolling double six

1/36
a 6 on a die is only on one face, so that would be 1/6 of the whole die
to roll a double would mean take 1/6 x 1/6

The odds of rolling a five with one die are 1 in 6; the dice are independent so the odds of rolling another five are 1 in 6; therefore the odds of rolling double fives are.
$$(1/6)*(1/6) = 1/36$$.
1 in 36.
By this logic, our new player just did something pretty unlikely on her first roll. this is the answer i think