From Monopoly to Backgammon to Yahtzee, our first experiences with board games almost always feature sets of six-sided dice. They’re a great way to create some randomness and chaos in a game, but ...

Let's say I roll two dice, a d8 and a d12… How do I calculate the probability that the d12 will a) win, b) be equal, c) lose? There is probably a name for this equation, but my google-fu is lacking.

Ben Newell receives funding from the Australian Research Council. The answer in both cases – the single roll and the 6 rolls - is always to predict red, the dominant colour. But I am prepared to bet ...