Hot Shooter Jackpot

Introduction

The Hot Shooter Jackpot is a craps side bet found on some Roll to Win electronic craps games. I hear it can be found at the Harrah's Cherokee in North Carolina. The bet pays based on the number of times the shooter rolls the dice.

Rules

1. The bet is made when a new shooter takes the dice.
2. The bet pays according to the number of times the shooter rolls the dice. In other words, the number of rolls before a seven-out and one more for the seven-out itself.
3. The pay table is as follows:
• 51+ rolls pays 100 for 1.
• 45 to 50 rolls pays 30 for 1.
• 40 to 44 rolls pays 12 for 1.
• 32 to 39 rolls pays 7 for 1.
• 24 to 31 rolls pays 5 for 1.
• 16 to 23 rolls pays 3 for 1.
• 8 to 15 rolls pays 1 for 1 (in other words, a push).
• 2 to 7 rolls (1 is impossible) is a loss

Analysis

The following table shows the probability and contribution to the return for all possible outcomes. Wins are on a "for one" basis. The lower right cell shows an expected return of 90.10%. In other words, a house edge of 9.90%.

Table 1 — List of Bets

Rolls Pays Probability Return
51+ 100 0.000743 0.074257
45 to 50 30 0.001062 0.031846
40 to 44 12 0.001976 0.023715
32 to 39 7 0.008566 0.059963
24 to 31 5 0.027973 0.139865
16 to 23 3 0.091300 0.273900
8 to 15 1 0.297425 0.297425
2 to 7 0 0.570956 0.000000
Total   1.000000 0.900971

Above is an image from the rule screens of another unit with the Hot Shooter Jackpot.
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