Trio Cast

Three dice, one board

Every throw is three dice at once. The board offers a wide half and a narrow half, individual numbers, exact pairs, exact totals and a triple.

The wide covers

Covering the total to land high or low pays one to one, and loses on any triple. It is the plainest field on the board and the best value on it.

The narrow covers

An exact total or an exact triple pays a great deal and lands very rarely. Both are printed with their true frequency next to them so nothing is guessed at.

Two hundred and sixteen outcomes

Three dice give six cubed possibilities, and every total from three to eighteen has a different count behind it. Ten and eleven come up twenty-seven times each; three and eighteen once.

Where the margins differ

The wide covers sit around 2.8 percent. The exact totals and triples run far wider — some past fifteen percent. This is the one family here where the choice of field really does change the arithmetic.

Everything is countable

Two dice have thirty-six outcomes and three have two hundred and sixteen. You can write them all down on one page, which is why dice are the best place to learn where odds come from.

The shape of a total

Seven appears six times out of thirty-six and twelve appears once. Nothing is weighted; the shape comes purely from how many ways a total can be built. Most confusion about dice starts with forgetting that.

Wide margins hide in exotic covers

The simple covers on a dice table are among the fairest anywhere. The exotic ones — an exact triple, a rare total — carry the widest margins on this whole site, and they are the ones printed largest.

Rituals and results

Blowing on the dice, throwing harder, choosing a moment. None of it moves a single outcome. The rituals are old and human and completely without effect, and that is worth knowing before you start attributing results to them.