Fortune's Fire Resort & Casino
Dice Games
Chuckles' Luck
Hi-Middle-Lo
In this game, the dealer rolls three cube six-sided dice. The bet is placed according to the total of the three dice:
| Low | High | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 |
| Outside | Middle | Outside | |||||||||||
Note that the house wins on three of a kind, both on 3 and 18. While High, Low and Medium pays even (2:1), Outside pays quintuple times (5:1). It might seem Outside is the best bet, paying 5:1 on a win, but there is in fact less than 1 in 5 chance (19/108 to be exact) for the total to be any of these numbers. If we check the probability density function:
High and Low are the best bets both having 107 / 216 chance while both Medium has 25 / 54.