Mathematical analyses

Proposition bets (a.k.a. "sucker bets")

These types of bets have an extremely low chance of winning and therefore have high payouts to attract naïve gamblers. When they do hit, though, it certainly makes the game that much more exciting.

ATS (All, Tall, Small)

Description: This is actually made up of three separate bets. Each set of covered numbers must be rolled before a 7. It is not mandatory to play all three at the same time; it is possible to bet $1 only on the Small, for example.

• All: 2, 3, 4, 5, 6, 8, 9, 10, 11, 12
• Tall: 8, 9, 10, 11, 12
• Small: 2, 3, 4, 5, 6

How it works:

• You place the ATS bet before the shooter rolls the come-out.
• Each time a box number is rolled, it’s marked off.
• If all required numbers are hit before a 7, you win.
• A 7 resets the bet.

Payout: The exact payout depends on the specific casino, such as 34:1 for the Tall or Small, and 175:1 for the All.

"All the hard ways", or "Hard way all day"

Description: A wager that all four possible hard way combinations will be rolled before a 7 appears. Furthermore, the bet is lost the moment an easy way is rolled—e.g. ⚀⚂ for an easy 4.

Payout: The exact payout depends on the specific casino, such as 165:1.