Mexico is an elimination-style dice game, in which several players agree to play a set number of rounds.
Owing to its extremely simple play-structure, it is generally pursued as a method of gambling, whereby the final remaining player wins the amount of money wagered by each person who was eliminated in earlier rounds.
Ideally, this surface will have a barrier of some sort on at least one side, off of which to bounce the dice during rolling and to prevent spillage.
At the start of play, each player agrees to wager an equal amount of finite resources (generally money), and at the end of each round, the player with the lowest roll gives up a predetermined portion of that resource.
The game ends when enough rounds have been played that only one player with any money remains, at which point the pot is awarded.
Thus, following the above example, three players, each betting a total of $25 with a minimum betting unit of $5 for each round could play a minimum of ten and a maximum of fourteen rounds before a winner emerges, winning $50 in addition to their initial $25 stake.
At this point, whoever has rolled for the lowest result puts their portion of money into the pot, and another round begins.
Thus, it is in the lead player's interest not to roll the dice more than necessary, as doing so will give opponents more opportunities to beat what might turn out to be a low result.
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).
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.
There are 62 = 36 potential combinations when rolling two six-sided dice, which are used to generate 21 scores in total, 15 two-digit numbers and 6 doubles.
Accordingly, the worst thing someone can do as lead roller is roll three times, only to end up with a mediocre result.
This is of course a terrible position to be in, and the lead roller would almost certainly roll a third time, which would, in turn, give opponents more chances to beat him or her.