Calculating the probability of two dice getting at least a $1$ or a $5$ So you have $2$ dice and you want to get at least a $1$ or a $5$ (on the dice not added).  How do you go about calculating the answer for this question.
This question comes from the game farkle.

Go backwards: Calculate the probability that neither of them shows a 1 or 5. That means both show a 2, 3, 4, or 6. Thats $(4/6)^2$.
Hence the probability that at least one shows a 1 or 5 is $1-(2/3)^2=5/9$.
