# 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

1. The game is based on the roll of two ordinary six-sided dice.
2. All bets, except the 777, are usually based on one roll of the dice.
3. 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.
4. 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

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.

### 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

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.

### 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.

### Seven

Event Pays Combinations Probability Return
Win plus bonus 35 216 0.004630 0.162037
Win without bonus 5 7,560 0.162037 0.810185
Loss 0 38,880 0.833333 0.000000
Total   46,656 1.000000 0.972222

The following table shows my analysis of the 7-7-7 bet. This bet pays 180 plus 30 on the bonus, for a total of 210.

### 7-7-7

Event Pays Combinations Probability Return
Win 210 216 0.004630 0.972222
Loss 0 46,440 0.995370 0.000000
Total   46,656 1.000000 0.972222