It's really not that hard to work out that it's true when given 3 dice with this property, especially if you already know that it's possible or if your suspicion level is high due to the framing.
All you need to do is look at each pair of dice and compare. Especially for some sets of dice the comparison is trivial. Like look at the ones in the article with five 3s and five 4s, you don't even need to think to figure out which one wins more.
All you need to do is look at each pair of dice and compare. Especially for some sets of dice the comparison is trivial. Like look at the ones in the article with five 3s and five 4s, you don't even need to think to figure out which one wins more.