Answer 1) 6 out of 36 is the correct answer.
This problem calls for you to understand the formulas associated with probability. In this case, the number of possible outcomes is the first part of the answer you must find.
In probability problems involving dice, a table is always helpful. Be mindful to write the result of one die or the other first every time. Doing so prepares you for add on question regarding sums, differences, absolute values and more. See the table below as an example.

This problem asks the probability of rolling doubles. Your first step is to calculate or write out the number of possible combinations when rolling two six-sided dice.
Each die has six sides, therefore the calculation is 6 x 6 = 36 possibilities.
Finding the number of doubles is easy when creating a table (see above)
1 and 1, 2 and 2, 3 and 3, 4 and 4, 5 and 5. 6 and 6
The probability is therefore 6 out of 36.