My specific question (to settle a score-keeping argument in my family's never-ending Farkle tournament) is this:
- when rolling six, six-sided dice a single time, is it more likely to roll three pairs of three different numbers, or three dice of a single number?
For instance, in my family's game of Farkle, if you roll three pairs you get 200 points. However, if you get three of any number in particular you get that specific digit times x 100, except if you get three one's, then you get 1,000, or three fives, then you get 5,000.
- As the stickler that I am, I just want to make sure we're scoring relative to correctly weighted probability of rolling outcomes.
Feel free to also include other six, six-sided dice probability answers to help out other folks who stumble on this thread in search of help.