This seems so simple, but I'm not sure how to calculate it.
I have one six-sided die and one 12-sided die.
What is the probability that, on a roll of both dice, that the six-sided die will win?
I'm not overly familiar with mathematical notation. Thank you!
The number of possibilities is 6 * 12 (every combination of a six sided dice and a 12 sided dice).
The general way to do this, particularly for such a small problem space is to list out every possible combination, make rectangular table with 12 entries on one side and 6 entries on the other and fill in who "wins," sum up the winners for each side and divide by 72 (the total number of possibilities).
In a comment above it's shown how to do this more simply, but this is the general solution to these sorts of problems.