Casino Razz Bonus

Introduction

The Casino Razz Bonus is a side bet sometimes found in Casino Hold 'Em, but would work just as well based on any five-card poker hand from a standard 52-card deck. It pays according the poker value of five specified cards -- the lower the better.

Rules

1. The side bet can be applied to any game that uses a 52-card deck and uses at least five of them as a group.
2. Aces are always counted as the lowest card.
3. The lower the poker value of the five-card hand, the more the Casino Razz Bonus pays.
4. For purposes of the side bet, straights and flushes do no count against the player. Any pair, two pair, three of a kind, full house, or four of a kind is always a loser.
5. According to literature from the side bet creator, there are six pay tables the casino may choose from, which are shown below.

Following are the six pay tables available. Pays are on a "to one" basis. A zero represents a push and a negative one a loss.

Caisno Razz Bonus Pay Tables

Event PT 1 PT 2 PT 3 PT 4 PT 5 PT 6
Suited 5 high 50 100 50 100 200 100
5 high 50 50 50 50 50 50
6 high 20 20 20 20 25 25
7 high 10 10 10 10 10 11
8 high 8 8 8 8 8 8
9 high 6 6 6 6 6 6
10 high 4 4 3 3 4 4
J high 2 2 1 1 2 2
Q high -1 -1 0 0 -1 -1

Analysis

The following pay table shows my analysis of Pay Table 1. The lower right cell shows a house edge of 5.99%.

Pay Table 1

Event Pays Numbers Probability Return
All 5 high 50 1,024 0.000394 0.019700
6 high 20 5,120 0.001970 0.039400
7 high 10 15,360 0.005910 0.059101
8 high 8 35,840 0.013790 0.110321
9 high 6 71,680 0.027580 0.165482
10 high 4 129,024 0.049644 0.198578
J high 2 215,040 0.082741 0.165482
All other -1 2,125,872 0.817970 -0.817970
Total 2,598,960 1.000000 -0.059907

The following pay table shows my analysis of Pay Table 2. The lower right cell shows a house edge of 5.98%.

Pay Table 2

Event Pays Numbers Probability Return
Suited 5 high 100 4 0.000002 0.000154
5 high 50 1,020 0.000392 0.019623
6 high 20 5,120 0.001970 0.039400
7 high 10 15,360 0.005910 0.059101
8 high 8 35,840 0.013790 0.110321
9 high 6 71,680 0.027580 0.165482
10 high 4 129,024 0.049644 0.198578
J high 2 215,040 0.082741 0.165482
All other -1 2,125,872 0.817970 -0.817970
Total 2,598,960 1.000000 -0.059830

The following pay table shows my analysis of Pay Table 3. The lower right cell shows a house edge of 6.23%.

Pay Table 3

Event Pays Numbers Probability Return
All 5 high 50 1,024 0.000394 0.019700
6 high 20 5,120 0.001970 0.039400
7 high 10 15,360 0.005910 0.059101
8 high 8 35,840 0.013790 0.110321
9 high 6 71,680 0.027580 0.165482
10 high 3 129,024 0.049644 0.148933
J high 1 215,040 0.082741 0.082741
Q high 0 337,920 0.130021 0.000000
All other -1 1,787,952 0.687949 -0.687949
Total 2,598,960 1.000000 -0.062271

The following pay table shows my analysis of Pay Table 4. The lower right cell shows a house edge of 6.22%.

Pay Table 4

Event Pays Numbers Probability Return
Suited 5 high 100 4 0.000002 0.000154
5 high 50 1,020 0.000392 0.019623
6 high 20 5,120 0.001970 0.039400
7 high 10 15,360 0.005910 0.059101
8 high 8 35,840 0.013790 0.110321
9 high 6 71,680 0.027580 0.165482
10 high 3 129,024 0.049644 0.148933
J high 1 215,040 0.082741 0.082741
Q high 0 337,920 0.130021 0.000000
All other -1 1,787,952 0.687949 -0.687949
Total 2,598,960 1.000000 -0.062194

The following pay table shows my analysis of Pay Table 5. The lower right cell shows a house edge of 4.98%.

Pay Table 5

Event Pays Numbers Probability Return
Suited 5 high 200 4 0.000002 0.000308
5 high 50 1,020 0.000392 0.019623
6 high 25 5,120 0.001970 0.049250
7 high 10 15,360 0.005910 0.059101
8 high 8 35,840 0.013790 0.110321
9 high 6 71,680 0.027580 0.165482
10 high 4 129,024 0.049644 0.198578
J high 2 215,040 0.082741 0.165482
All other -1 2,125,872 0.817970 -0.817970
Total 2,598,960 1.000000 -0.049826

The following pay table shows my analysis of Pay Table 6. The lower right cell shows a house edge of 4.41%.

Pay Table 6

Event Pays Numbers Probability Return
Suited 5 high 100 4 0.000002 0.000154
5 high 50 1,020 0.000392 0.019623
6 high 25 5,120 0.001970 0.049250
7 high 11 15,360 0.005910 0.065011
8 high 8 35,840 0.013790 0.110321
9 high 6 71,680 0.027580 0.165482
10 high 4 129,024 0.049644 0.198578
J high 2 215,040 0.082741 0.165482
All other -1 2,125,872 0.817970 -0.817970
Total 2,598,960 1.000000 -0.044070

The following table summarizes the house edge of each pay table.

Caisno Razz Bonus Pay Tables

Event PT 1 PT 2 PT 3 PT 4 PT 5 PT 6
Suited 5 high 50 100 50 100 200 100
5 high 50 50 50 50 50 50
6 high 20 20 20 20 25 25
7 high 10 10 10 10 10 11
8 high 8 8 8 8 8 8
9 high 6 6 6 6 6 6
10 high 4 4 3 3 4 4
J high 2 2 1 1 2 2
Q high -1 -1 0 0 -1 -1
House Edge 5.99% 5.98% 6.23% 6.22% 4.98% 4.41%