These are long, but certainly not astronomical, odds. For the sake of context: The odds of rolling three "hardway" sixes or eights in a row in craps is 213 to 3 (roughly a 1.3% likelihood). Furthermore, these odds assume that each player is allowed only one roll; if "Mexico" is the final result of two or three rolls, the likelihood of duplicating it rises substantially, in the same way that the median roll for a given round changes, depending on how many rolls the leader takes.) Finally, if anyone besides the leader rolls twenty-one when the leader has not already done so, the roll is not considered "Mexico", and play proceeds as usual, although the player in question has still rolled for an unbeatable (though still tieable) result. Ties Ties are only relevant if two or more players are tied for lowest place, and are therefore broken at the end of each round, since if many are playing, a tie early on may be a moot point by the time the round is over. Tie-breaking can be accomplished by having the tied parties play a "sub-round" of Mexico, with the loser of that round paying into the pot in the usual manner. Dice games