If you have two pairs of six-sided fair dices, two people total each rolls the pair simultaneously,

- what’s the probability one’s sum >other’s sum .
- what’s the probability at least one single die of one person exceeds the sum of both of the other’s dice?
- what’s the probability either single die of one person exceeds the sum of both of the other’s dice?

Since all dice are identical, isn’t the probability one half for question one.