The scenario: I roll two dice, what's the probability that the absolute difference between the two dice is equal or less than 2?
I know the easiest way is to create a truth table and count the possibilities
Dice 1 | Dice 2
1 | 1
2 | 2
6 | 6
But, the caveat is that I need to find the answer without having to count the possibilities.
There has to be a quicker/formulaic way of doing this, without having to write out the sample spaces/count the possibilities.