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Diamondz Side Bet

Introduction

I first noticed a side bet titled Diamondz on October 14, 2019 on a host of different table games at the Golden Nugget in Las Vegas. There are different pay table available according to the number of cards in the game. All of them pay according to the number of diamond cards in the hand, including player, dealer, and any community cards.

Six Cards

The following pay table I saw on a Three Card Poker table. It is based on the number of diamond cards between the player and dealer hands. The lower right cell shows a house edge of 4.91%.

Six Card Games

Diamonds Pays Combinations Probabilities Return
6 300 1,716 0.000084 0.025287
5 50 50,193 0.002465 0.123273
4 10 529,815 0.026024 0.260242
3 3 2,613,754 0.128386 0.385159
0 to 2 -1 17,163,042 0.843040 -0.843040
Total   20,358,520 1.000000 -0.049079

Nine Cards

The following pay table I saw on a Ultimate Texas Hold 'Em table. It is based on the number of diamond cards between the player's hole cards, dealer's hole cards, and five community cards. The lower right cell shows a house edge of 6.46%.

Nine Card Games

Diamonds Pays Combinations Probabilities Return
9 1000 715 0.000000 0.000194
8 300 50,193 0.000014 0.004093
7 100 1,271,556 0.000346 0.034562
6 30 15,682,524 0.004263 0.127879
5 10 105,857,037 0.028773 0.287727
4 3 411,666,255 0.111894 0.335682
0 to 3 -1 3,144,547,120 0.854711 -0.854711
Total   3,679,075,400 1.000000 -0.064574

Ten Cards

The following pay table I saw on a Crazy 4 Poker table. It is based on the number of diamond cards between the player's and dealer's five-card hands. The lower right cell shows a house edge of 6.77%.

Ten Card Games

Diamonds Pays Combinations Probabilities Return
10 1000 286 0.000000 0.000018
9 400 27,885 0.000002 0.000705
8 200 953,667 0.000060 0.012056
7 100 15,682,524 0.000991 0.099131
6 15 141,142,716 0.008922 0.133827
5 4 740,999,259 0.046839 0.187357
4 2 2,332,775,445 0.147457 0.294914
0 to 3 -1 12,588,442,438 0.795728 -0.795728
Total 0 15,820,024,220 1.000000 -0.067720

14 Cards with Joker

The following pay table I saw on a Pai Gow Poker table. It is based on the number of diamond cards between the player's and dealer's seven-card hands. For purposes of the side bet, the joker counts as a diamond. The lower right cell shows a house edge of 11.93%.

14 Card Games

Diamonds Pays Combinations Probabilities Return
14 1000 1 0.000000 0.000000
13 500 546 0.000000 0.000000
12 300 67,431 0.000000 0.000008
11 200 3,326,596 0.000001 0.000277
10 100 82,333,251 0.000034 0.003425
9 50 1,152,665,514 0.000479 0.023974
8 25 9,797,656,869 0.004076 0.101890
7 12 52,787,375,784 0.021958 0.263500
6 5 184,755,815,244 0.076854 0.384271
0 to 5 -1 2,155,400,662,964 0.896597 -0.896597
Total   2,403,979,904,200 1.000000 -0.119252