For each main the probability of winning can be calculated:
| Main | Probability of winning | Disadvantage to caster |
|---|---|---|
| 5 | 0.492 | 1.52% |
| 6 | 0.488 | 2.34% |
| 7 | 0.493 | 1.41% |
| 8 | 0.488 | 2.34% |
| 9 | 0.492 | 1.52% |
In some reports on the rules of the game, the main is determined randomly by tossing the dice until a valid main appears. In this case the overall player disadvantage is 1.84%. If the caster can choose a main, he should always choose 7. This may be how craps evolved, since if you always choose 7 the game is basically just craps.
Read more about this topic: Hazard (game)
Famous quotes containing the words probability of, probability and/or winning:
“Liberty is a blessing so inestimable, that, wherever there appears any probability of recovering it, a nation may willingly run many hazards, and ought not even to repine at the greatest effusion of blood or dissipation of treasure.”
—David Hume (1711–1776)
“Only in Britain could it be thought a defect to be “too clever by half.” The probability is that too many people are too stupid by three-quarters.”
—John Major (b. 1943)
“Most of our platitudes notwithstanding, self-deception remains the most difficult deception. The tricks that work on others count for nothing in that very well-lit back alley where one keeps assignations with oneself: no winning smiles will do here, no prettily drawn lists of good intentions.”
—Joan Didion (b. 1934)