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- Pair A Dice Casino
- Casino Dice Amazon
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Introduction
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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.
Pair A Dice Casino
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 |
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 |
Written by:Michael Shackleford
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Introduction
Nice Dice is a casino game played with five dice and follows the same three roll rules of Yahtzee. The game is made by Roxor Gaming for use by Internet casinos.
Rules
The rules are the same as Yahtzee, with the five dice scored according to the pay table below. If you're not familiar with Yahtzee, please see the rules below.
- Five ordinary six-sided dice are used. Poker dice may also be used.
- After making a bet, the player rolls the five dice.
- If the player rolls a five of a kind on the first roll, known as a 'Nice Dice,' he immediately is paid at 9 to 1 odds.
- Otherwise, the player may hold any dice he wishes, or none at all, and re-rolls the rest.
- Again, the player may hold any of the five dice he wishes and re-rolls the rest.
- After the third roll or if the player chooses to hold all five dice after the first or second roll, the dice will be scored according to the pay table below.
Nice Dice Pay Table
| Event | Pays |
|---|---|
| Five of a kind on first roll | 9 to 1 |
| Five of a kind | 3 to 1 |
| Four of a kind | 3 to 2 |
| Straight | 1 to 1 |
| Full house | Push |
Strategy
Casino Dice Amazon
The following is the strategy after the first roll according to the roll.
- Five of a kind — Hold all five dice
- Four of a kind — Re-roll the singleton
- Full house ‐ Re-roll the pair.
- Straight — Hold all five dice
- Two pair (1's and 6's) — Hold either pair and re-roll other three dice.
- Two pair (all other) — Hold a pair of 2's to 5's and re-roll other three dice.
- Three of a kind — Re-roll two singletons
- Outside straight draw with pair (2's - 5's) (example 2-3-3-4-5) — Re-roll one of the dice in the pair.
- Inside straight draw with pair (2's - 5's) (example 2-3-3-4-6) — Re-roll three singletons.
- Any pair (1's or 6's) — Re-roll three singletons
- All other (Five singletons including a 1 and 6) — Re-roll 1 and 6
The following is the strategy after the second roll according to the roll.
- Five of a kind — Hold all five dice
- Four of a kind — Re-roll the singleton
- Full house ‐ Hold all five dice.
- Straight — Hold all five dice
- Two pair (any) — Re-roll singleton.
- Three of a kind — Re-roll two singletons
- Pair (2's - 5's) — Re-roll one of the dice in the pair.
- Any pair (1's or 6's) — Re-roll three singletons
- All other (Five singletons including a 1 and 6) — Re-roll 1 or 6
This strategy is also available in PDF form.
Analysis
The following table shows my analysis of Nice Dice, assuming optimal strategy. The lower right cell shows a house edge of 0.46%.
Nice Dice Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Five of a kind on first roll | 9 | 362,797,056 | 0.000772 | 0.006944 |
| Five of a kind | 3 | 18,570,954,240 | 0.039497 | 0.118491 |
| Four of a kind | 1.5 | 86,360,256,000 | 0.183673 | 0.275509 |
| Straight | 1 | 39,907,676,160 | 0.084877 | 0.084877 |
| Full house | 0 | 94,383,221,760 | 0.200736 | 0.000000 |
| Loser | -1 | 230,600,079,360 | 0.490445 | -0.490445 |
| Total | 470,184,984,576 | 1.000000 | -0.004624 |
The total number of combinations is 615 = 470,184,984,576. This is the number of ways five dice can be rolled up three times each.
Acknowledgements
Casino Dice Games Table
I would like to thank the following members of my Wizard of Vegas forum for their contributions to the analysis of Nice Dice — MattUK, CharliePatrick, ThatDonGuy, CrystalMath, and rsactuary. I also give credit and thanks to MattUK for the strategy above.
External Links
- Discussion about Nice Dice in my forum at Wizard of Vegas.
- Demo video by Roxor Gaming.