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Bonus Keno

Introduction

Bonus Keno

Bonus Keno resembles the traditional four-card keno game, but offers significantly higher payouts. To enable these larger payouts, players are required to increase their bets by 25%, which serves as a fee to enhance the payout structure.

Rules

  1. Players can select between 3 to 10 spots across four different cards.
  2. A player can wager anywhere from 5 to 40 credits. For every five credits placed, one credit is allocated to each of the four cards, while the fifth credit is simply lost.
  3. Below are the five different payout tables as detailed by VideoPoker.com.

Analysis

The table below illustrates the likelihood of various combinations of selections and catches.

Probability Table

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0.416504 0.308321 0.227184 0.166602 0.121574 0.088266 0.063748 0.045791
1 0.430867 0.432732 0.405686 0.363495 0.315193 0.266464 0.220666 0.179571
2 0.138754 0.212635 0.270457 0.308321 0.326654 0.328146 0.316426 0.295257
3 0.013875 0.043248 0.083935 0.129820 0.174993 0.214786 0.246109 0.267402
4   0.003063 0.012092 0.028538 0.052191 0.081504 0.114105 0.147319
5     0.000645 0.003096 0.008639 0.018303 0.032601 0.051428
6       0.000129 0.000732 0.002367 0.005720 0.011479
7         0.000024 0.000160 0.000592 0.001611
8           0.000004 0.000033 0.000135
9             0.000001 0.000006
10               0.000000
Total 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000

The next table demonstrates the contribution to the return rate for all combinations of selections and catches according to Pay Table 95 outlined below. The final figure indicates a maximum return of 95.54% for selecting four numbers. This percentage is derived from the pay table multiplied by the probability, and then adjusted by 4/5 due to wins being calculated on only 80% of the initial bet.

Return Table

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
1 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
2 0.333009 0.340217 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
3 0.621616 0.207590 0.268592 0.415423 0.139995 0.000000 0.000000 0.000000
4   0.399466 0.145108 0.114152 0.125258 0.195609 0.091284 0.000000
5     0.541737 0.205550 0.221146 0.204989 0.182568 0.246853
6       0.206376 0.304544 0.265072 0.247085 0.247955
7         0.156176 0.243892 0.284006 0.257783
8           0.034765 0.130370 0.162503
9             0.005794 0.029379
10               0.000898
Total 0.954625 0.947273 0.955437 0.941501 0.947119 0.944327 0.941107 0.945371

Pay Tables

This is what I refer to as Pay Table 95. The last row highlights the returns based on the number of selections made, with the highest return being 95.54% for selecting five numbers.

Pay Table 95

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
2 3 2 0 0 0 0 0 0
3 56 6 4 4 1 0 0 0
4   163 15 5 3 3 1 0
5     1,050 83 32 14 7 6
6       2,000 520 140 54 27
7         8,000 1,900 600 200
8           10,000 5,000 1,500
9             10,000 6,000
10               10,000
Return 95.46% 94.73% 95.54% 94.15% 94.71% 94.43% 94.11% 94.54%

This table corresponds to what I label as Pay Table 93. The last row indicates the return for all selection amounts, with a peak of 93.62% when selecting ten numbers.

Pay Table 93

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
2 3 2 0 0 0 0 0 0
3 54 6 4 4 1 0 0 0
4   155 15 5 3 3 1 0
5     1,000 80 30 14 7 6
6       2,000 515 140 52 26
7         8,000 1,800 600 200
8           10,000 5,000 1,500
9             10,000 6,000
10               10,000
Return 93.24% 92.77% 92.96% 93.41% 93.04% 93.15% 93.20% 93.62%

Here is what I refer to as Pay Table 91. Again, the last row illustrates the returns for various picks, with the maximum being 91.78% for picking ten numbers.

Pay Table 91

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
2 3 2 0 0 0 0 0 0
3 52 6 4 4 1 0 0 0
4   150 15 5 3 3 1 0
5     975 72 28 14 7 6
6       2,000 510 140 48 24
7         8,000 1,675 600 200
8           10,000 5,000 1,500
9             10,000 6,000
10               10,000
Return 91.02% 91.54% 91.67% 91.43% 91.36% 91.54% 91.37% 91.78%

This table I call Pay Table 90. The final row shows the returns regardless of number of picks, peaking at 91.02% when picking three numbers.

Pay Table 90

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
2 3 2 0 0 0 0 0 0
3 52 6 4 4 1 0 0 0
4   145 15 5 3 3 1 0
5     960 70 27 14 7 6
6       2,000 510 140 47 23
7         8,000 1,600 600 200
8           10,000 5,000 1,500
9             10,000 6,000
10               10,000
Return 91.02% 90.32% 90.90% 90.93% 90.67% 90.58% 90.91% 90.86%

Here is what I consider Pay Table 88. The last row presents the returns for all selections, with the highest being 88.84% for selecting five numbers.

Pay Table 88

Catch Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
2 3 2 0 0 0 0 0 0
3 50 6 4 4 1 0 0 0
4   136 15 5 3 3 1 0
5     920 60 25 14 7 6
6       2,000 500 140 42 20
7         8,000 1,450 600 200
8           10,000 5,000 1,500
9             10,000 6,000
10               10,000
Return 88.80% 88.11% 88.84% 88.45% 88.70% 88.66% 88.62% 88.11%

External Links

Play Bonus Keno for fun at VideoPoker.com .

Written by: Michael Shackleford