777 Dice

Introduction

777 Dice is a unique casino game, as far as I know, to Art of Games, which provides software for Internet casinos. It is a simple game of luck based on the roll of two dice. The exciting part is every total of seven begins a bonus round. If the player can roll two more sevens, he wins a bonus of 30x his bet.

Rules

The game is based on the roll of two ordinary six-sided dice.
All bets, except the 777, are usually based on one roll of the dice.
A total of seven will begin a bonus round. In the bonus round, the player will roll the dice again. If he rolls anything but a seven, the bonus is over and the player wins nothing from the bonus round. If he rolls a second consecutive seven, the player will roll a third time. If this third roll is a seven, the player shall win a bonus of 30x his bet. If he rolls anything other than a seven, the bonus is over and the player wins nothing from the bonus round. There is no additional wagering allowed on bonus rolls.
The following bets are available:
- 3 and Under — Pays 10 for 1 on totals of 2 and 3.
- 4 and Under — Pays 5 for 1 on totals of 2 to 4.
- 5 and Under — Pays 3 for 1 on totals of 2 to 5.
- 6 and Under — Pays 2 for 1 on totals of 2 to 6.
- 7 — Pays 5 for 1 on totals of 7.
- 8 and Over — Pays 2 for 1 on totals of 8 to 12.
- 9 and Over — Pays 3 for 1 on totals of 9 to 12.
- 10 and Over — Pays 5 for 1 on totals of 10 to 12.
- 11 and Over — Pays 10 for 1 on totals of 11 and 12.
- 777 — Pays 180, plus a bonus of 30, for rolling three consecutive sevens.

Analysis

The following table shows my analysis of both the 11 and Over as well as the 3 and Under bets, which have exactly the same odds. The lower right cell shows that 97.22% of money bet is returned the player on average.

3 and Under & 11 and Over

Event	Pays	Combinations	Probability	Return
Bonus	30	216	0.004630	0.138889
Win	10	3,888	0.083333	0.833333
Loss	0	42,552	0.912037	0.000000
Total		46,656	1.000000	0.972222

The following table shows my analysis of both the 10 and Over as well as the 4 and Under bets, which have exactly the same odds. The lower right cell shows that 97.22% of money bet is returned the player on average.

4 and Under & 10 and Over

Event	Pays	Combinations	Probability	Return
Bonus	30	216	0.004630	0.138889
Win	5	7,776	0.166667	0.833333
Loss	0	38,664	0.828704	0.000000
Total		46,656	1.000000	0.972222

5 and Under & 9 and Over

Event	Pays	Combinations	Probability	Return
Bonus	30	216	0.004630	0.138889
Win	3	12,960	0.277778	0.833333
Loss	0	33,480	0.717593	0.000000
Total		46,656	1.000000	0.972222

6 and Under & 8 and Over

Event	Pays	Combinations	Probability	Return
Bonus	30	216	0.004630	0.138889
Win	2	19,440	0.416667	0.833333
Loss	0	27,000	0.578704	0.000000
Total		46,656	1.000000	0.972222

The following table shows my analysis of the roll on a total of seven exactly. The lower right cell shows that 97.22% of money bet is returned the player on average.