Question: Suppose we roll a red die and a green die. What is the probability the number on the red die is Larger (>) than the number on the green die.
Not to sure what to do?????
way that they can be equal out of a total of 36 equally likely outcomes).
So the probability that they are not the same is 5/6. Also symmetry
guarantees that the probability that red die shows a larger number than the
green is the same as vice versa, and these must sum to 5/6.
Hence the probability that the red shows larger than the green is 5/12.