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Last Updated: June 15, 2018

Dice

Introduction

"Dice" is a game of chance based on the roll of five dice. It can be found at Internet casinos using BetGames.tv live games. It should not be confused with another game called "Dice" by Gamesys software.

Rules

  1. Five ordinary six-sided dice are used.
  2. The following bets are available:
    • Pair — At least two dice land on the same face. Wins consist of a pair, two pair, three of a kind, full house, four of a kind, and five of a kind. Wins pay 1.04.
    • Two Pair — Two distinct faces appear at least twice. Wins consist of a two pair and full house. Wins pay 3.5.
    • Three of a kind — At least three dice land on the same face. Wins consist of a three of a kind, full house, four of a kind, and five of a kind. Wins pay 4.45.
    • Sequence from 1 to 5 — The roll is 1,2,3,4,5. Wins pay 50.
    • Sequence from 2 to 6 — The roll is 2,3,4,5,6. Wins pay 50.
    • All different — All five dice land on a distinct face. Wins pay 10.
    • Full house — A distinct three of a kind and pair are rolled. Wins pay 23.
    • Four of a kind — At least four dice land on the same face. Wins consist of a four of a kind and five of a kind. Wins pay 40.
    • Five of a kind — All five dice land on the same face. Wins pay 500.
    • Chosen number will be rolled exactly twice — Wins pay 5
    • Chosen number will be rolled exactly three times — Wins pay 25
    • Chosen number will be rolled — Wins pay 1.55
    • Chosen number will not be rolled — Wins pay 2.35
    • Total under 17.5 — Wins pay 1.9
    • Total over 17.5 — Wins pay 1.9
    • Total under 13.5 — Wins pay 6.2
    • Total over 13.5 — Wins pay 1.12
    • Total under 21.5 — Wins pay 1.12
    • Total over 21.5 — Wins pay 6.2
    • Total under 10.5 — Wins pay 25
    • Total over 10.5 — Wins pay 1.01
    • Total under 24.5 — Wins pay 1.01
    • Total over 24.5 — Wins pay 25
    • More dice odd — Wins pay 1.9
    • More dice even — Wins pay 1.9
    • Exactly four odds — Wins pay 6
    • Exactly four evens — Wins pay 6
    • All odd — Wins pay 25
    • All even — Wins pay 25
  3. All wins are on a "for one" basis, meaning the original bet is not returned on a win.

Analysis

The following table shows my analysis of the bets on the poker value of the five dice. The right column shows the maximum return is at 94.52% on the Two Pair bet.

Poker Bets

Bet Pays Combinations Probability Return
At least one pair 1.04 7056 0.907407 0.943704
Two pair 3.5 2100 0.270062 0.945216
Three of a kind 4.45 1356 0.174383 0.776003
Sequence from 1 to 5 50 120 0.015432 0.771605
Sequence from 2 to 6 50 120 0.015432 0.771605
All different 10 720 0.092593 0.925926
Full house 23 300 0.038580 0.887346
Four of a kind 40 156 0.020062 0.802469
Five of a kind 500 6 0.000772 0.385802

The following table shows my analysis of the bets on how many times a particular die face will appear among the five dice. The right column shows the maximum return is at 94.44% that a particular face will not be rolled.

Number Bets Analysis

Bet Pays Combinations Probability Return
Chosen number will be rolled exactly twice 5 1250 0.160751 0.803755
Chosen number will be rolled exactly three times 25 250 0.032150 0.803755
Chosen number will be rolled 1.55 4651 0.598122 0.927090
Chosen number will not be rolled 2.35 3125 0.401878 0.944412

The following table shows my analysis of the bets on the total among the five dice. The right column shows the maximum return is at 97.73% on over 10.5 as well as under 24.5, although it is hard to get excited about winning 1% of your amount wagered.

Total Bets Analysis

Bet Pays Combinations Probability Return
Total under 17.5 1.9 3888 0.500000 0.950000
Total over 17.5 1.9 3888 0.500000 0.950000
Total under 13.5 6.2 1182 0.152006 0.942438
Total over 13.5 1.12 6594 0.847994 0.949753
Total under 21.5 1.12 6594 0.847994 0.949753
Total over 21.5 6.2 1182 0.152006 0.942438
Total under 10.5 25 252 0.032407 0.810185
Total over 10.5 1.01 7524 0.967593 0.977269
Total under 24.5 1.01 7524 0.967593 0.977269
Total over 24.5 25 252 0.032407 0.810185

The following table shows my analysis of the odd and even bets. The right column shows the maximum return is at 95.00% on more odds and more evens.

Total Bets Analysis

Bet Pays Combinations Probability Return
More dice odd 1.9 3888 0.500000 0.950000
More dice even 1.9 3888 0.500000 0.950000
Exactly four odds 6 1215 0.156250 0.937500
Exactly four evens 6 1215 0.156250 0.937500
All odd 25 243 0.031250 0.781250
All even 25 243 0.031250 0.781250

Finally, in case you were wondering, the following table shows the probability and number of combinations for all possible totals among five dice.

Total Bets Analysis

Total Combinations Probability
5 1 0.000129
6 5 0.000643
7 15 0.001929
8 35 0.004501
9 70 0.009002
10 126 0.016204
11 205 0.026363
12 305 0.039223
13 420 0.054012
14 540 0.069444
15 651 0.083719
16 735 0.094522
17 780 0.100309
18 780 0.100309
19 735 0.094522
20 651 0.083719
21 540 0.069444
22 420 0.054012
23 305 0.039223
24 205 0.026363
25 126 0.016204
26 70 0.009002
27 35 0.004501
28 15 0.001929
29 5 0.000643
30 1 0.000129
Total 7,776 1.000000
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