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Jackpot Party Keno

Introduction

On March 14, 2009, I came across Jackpot Party Keno at the Red Rock Casino. This unique variation of keno is inspired by the bonus rounds seen in the slot machine called 'Jackpot Party,' where players continue to select prizes until they hit a 'Party Pooper' ball, which concludes the bonus round. In the standard keno format, the game consistently draws 20 balls, while Jackpot Party Keno introduces an additional four to seven 'Pooper Balls.' The game continues to draw balls until one of these Pooper Balls is selected, and players receive payouts based on the number of successful picks made before that happens.

In contrast to traditional keno, players in Jackpot Party Keno have the opportunity to choose between 2 to 10 numbers out of a pool ranging from 1 to 40, rather than the usual 1 to 80. Players also have the option to determine how many Pooper Balls will be included in the mix. When more Pooper Balls are present, the likelihood of drawing the other balls decreases, potentially increasing the size of the payouts.

Number of Balls Drawn

Outcomes for the Number of Balls Selected before Hitting a Pooper Ball

Balls Drawn 4 Pooper Balls 5 Pooper Balls 6 Pooper Balls 7 Pooper Balls
40 0.00000737 0.00000082 0.00000011 0.00000002
39 0.00002947 0.00000409 0.00000064 0.00000011
38 0.00007366 0.00001228 0.00000224 0.00000045
37 0.00014733 0.00002865 0.00000598 0.00000134
36 0.00025782 0.00005729 0.00001345 0.00000334
35 0.00041252 0.00010313 0.00002690 0.00000735
34 0.00061878 0.00017188 0.00004932 0.00001469
33 0.00088397 0.00027010 0.00008455 0.00002729
32 0.00121546 0.00040515 0.0001374 0.00004775
31 0.00162061 0.00058522 0.00021373 0.00007958
30 0.00210680 0.00081931 0.0003206 0.00012733
29 0.00268138 0.00111724 0.00046633 0.00019678
28 0.00335172 0.00148966 0.00066063 0.00029518
27 0.00412520 0.00194801 0.00091472 0.00043141
26 0.00500917 0.00250459 0.0012414 0.0006163
25 0.00601101 0.00317248 0.0016552 0.00086282
24 0.00713807 0.00396559 0.00217246 0.00118638
23 0.00839773 0.00489867 0.00281141 0.0016051
22 0.00979735 0.00598727 0.00359236 0.00214013
21 0.0113443 0.00724775 0.00453772 0.00281596
20 0.01304594 0.00869730 0.00567215 0.00366075
19 0.01490965 0.01035392 0.00702266 0.00470668
18 0.01694278 0.01223646 0.00861872 0.00599032
17 0.01915271 0.01436454 0.01049236 0.00755301
16 0.0215468 0.01675862 0.01267826 0.00944126
15 0.02413242 0.01944000 0.01521392 0.01170716
14 0.02691693 0.02243077 0.01813967 0.01440882
13 0.02990770 0.02575385 0.02149887 0.01761077
12 0.03311209 0.02943297 0.02533795 0.02138451
11 0.03653748 0.03349269 0.02970656 0.02580889
10 0.04019123 0.03795839 0.03465766 0.03097067
9 0.04408071 0.04285624 0.04024760 0.03696500
8 0.04821327 0.04821327 0.04653629 0.04389593
7 0.0525963 0.05405731 0.05358724 0.05187701
6 0.05723715 0.06041699 0.06146772 0.06103178
5 0.06214319 0.06732179 0.07024882 0.07149437
4 0.06732179 0.07480199 0.0800056 0.08341010
3 0.07278031 0.08288869 0.09081717 0.09693606
2 0.07852613 0.09161381 0.10276680 0.11224175
1 0.08456660 0.1010101 0.11594203 0.12950971
0 0.09090909 0.11111111 0.13043478 0.14893617
Total 1 1 1 1

The subsequent table illustrates the anticipated number of balls that will be drawn before a Pooper Ball appears, depending on how many Pooper Balls are in play.

Anticipated Balls Drawn prior to a Pooper Ball

Pooper Balls Expected Draw
4 8.00
5 6.67
6 5.71
7 5.00

Four Pooper Balls

The next pay table outlines the payouts when there are four Pooper Balls in play, based on how many selections the player makes, ranging from 2 to 10, along with the count of matching balls drawn.

Pay Table for Four Pooper Balls

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10                 275
9               172 55
8             240 40 20
7           140 25 10 5
6         105 12 4 5 2
5       82 12 4 2 2 1
4     46 6 2 2 1 1 0
3   24 2 1 1 1 0 0 0
2 13 2 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0

The following pay table highlights the likelihood of winning with four Pooper Balls, depending on the number of selections made by the player, from 2 to 10, and the number of successful draws.

Winning Odds with Four Pooper BallsExpand

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10                 0.000999
9               0.001399 0.003996
8             0.00202 0.005594 0.00999
7           0.00303 0.008081 0.013986 0.01998
6         0.004762 0.012121 0.020202 0.027972 0.034965
5       0.007937 0.019048 0.030303 0.040404 0.048951 0.055944
4     0.014286 0.031746 0.047619 0.060606 0.070707 0.078322 0.083916
3   0.028571 0.057143 0.079365 0.095238 0.106061 0.113131 0.117483 0.11988
2 0.066667 0.114286 0.142857 0.15873 0.166667 0.169697 0.169697 0.167832 0.164835
1 0.266667 0.285714 0.285714 0.277778 0.266667 0.254545 0.242424 0.230769 0.219780
0 0.666667 0.571429 0.5 0.444444 0.4 0.363636 0.333333 0.307692 0.285714
Total 1 1 1 1 1 1 1 1 1

This pay table presents the expected returns when there are four Pooper Balls, based on the number of picks the player makes, between 2 and 10, and how many are caught. The final row sums up the overall return for each pick count, revealing that selecting 5 yields the highest return at 92.0635%.

Winning Odds with Four Pooper BallsExpand

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10                 0.274725
9               0.240559 0.21978
8             0.484848 0.223776 0.1998
7           0.424242 0.20202 0.13986 0.0999
6         0.5 0.145455 0.080808 0.13986 0.06993
5       0.650794 0.228571 0.121212 0.080808 0.097902 0.055944
4     0.657143 0.190476 0.095238 0.121212 0.070707 0.078322 0
3   0.685714 0.114286 0.079365 0.095238 0.106061 0 0 0
2 0.866667 0.228571 0.142857 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Total 0.866667 0.914286 0.914286 0.920635 0.919048 0.918182 0.919192 0.920280 0.920080

Five Pooper Balls

The succeeding pay table depicts the payouts associated with five Pooper Balls, based on how many choices the player opts for, ranging from 2 to 10, and the tally of matching balls drawn.

Pay Table for Five Pooper Balls

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10                 838
9               350 100
8             520 72 40
7           320 60 25 10
6         220 30 8 12 5
5       132 18 8 3 3 1
4     65 11 3 2 2 1 0
3   36 4 3 2 1 0 0 0
2 19 3 2 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0

The upcoming pay table illustrates the probability of securing a win with five Pooper Balls, depending on how many picks the player has made, from 2 to 10, along with the number of hits.

Winning Odds with Five Pooper BallsExpand

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10                 0.000333
9               0.0005 0.001665
8             0.000777 0.002498 0.004995
7           0.001263 0.003885 0.007493 0.011655
6         0.002165 0.006313 0.011655 0.017483 0.02331
5       0.003968 0.010823 0.018939 0.027195 0.034965 0.041958
4     0.007937 0.019841 0.032468 0.044192 0.05439 0.062937 0.06993
3   0.017857 0.039683 0.059524 0.075758 0.088384 0.097902 0.104895 0.10989
2 0.047619 0.089286 0.119048 0.138889 0.151515 0.159091 0.16317 0.164835 0.164835
1 0.238095 0.267857 0.277778 0.277778 0.272727 0.265152 0.25641 0.247253 0.238095
0 0.714286 0.625 0.555556 0.5 0.454545 0.416667 0.384615 0.357143 0.333333
Total 1 1 1 1 1 1 1 1 1

This pay table shows the expected return for five Pooper Balls, depending on the player’s number of choices, from 2 to 10, and how many catches are made. The concluding row summarizes the total return correlated with pick counts, with the highest return found for the 7 pick at 92.17%.

Winning Odds with Five Pooper BallsExpand

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10 0 0 0 0 0 0 0 0 0.279054
9 0 0 0 0 0 0 0 0.174825 0.1665
8 0 0 0 0 0 0 0.40404 0.17982 0.1998
7 0 0 0 0 0 0.40404 0.2331 0.187313 0.11655
6 0 0 0 0 0.47619 0.189394 0.09324 0.20979 0.11655
5 0 0 0 0.523810 0.194805 0.151515 0.081585 0.104895 0.041958
4 0 0 0.515873 0.218254 0.097403 0.088384 0.10878 0.062937 0
3 0 0.642857 0.15873 0.178571 0.151515 0.088384 0 0 0
2 0.904762 0.267857 0.238095 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Total 0.904762 0.910714 0.912698 0.920635 0.919913 0.921717 0.920746 0.919580 0.920413

Six Pooper Balls

The next pay table details the winnings associated with six Pooper Balls based on the number of selections the player makes, ranging from 2 to 10, and the number of matching balls achieved.

Pay Table for Six Pooper Balls

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10                 1850
9               1000 160
8             1320 100 80
7           800 100 48 20
6         478 55 20 20 10
5       290 20 10 3 5 2
4     100 12 4 2 2 1 0
3   47 5 3 3 1 0 0 0
2 26 5 3 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0

The following pay table reveals the chances of winning with six Pooper Balls, based on the player’s selections numbered from 2 to 10, and the counts of catches.

Winning Odds with Six Pooper BallsExpand

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10                 0.000125
9               0.000200 0.000749
8             0.000333 0.001199 0.002622
7           0.000583 0.001998 0.004196 0.006993
6         0.001082 0.003497 0.006993 0.011189 0.015734
5       0.002165 0.006494 0.012238 0.018648 0.025175 0.031469
4     0.004762 0.012987 0.022727 0.032634 0.041958 0.05035 0.057692
3   0.011905 0.028571 0.045455 0.060606 0.073427 0.083916 0.092308 0.098901
2 0.035714 0.071429 0.1 0.121212 0.136364 0.146853 0.153846 0.158242 0.160714
1 0.214286 0.250000 0.266667 0.272727 0.272727 0.269231 0.263736 0.257143 0.250000
0 0.750000 0.666667 0.600000 0.545455 0.500000 0.461538 0.428571 0.400000 0.375000
Total 1 1 1 1 1 1 1 1 1

This pay table displays the anticipated return with six Pooper Balls, according to the number of player picks, from 2 to 10, and how many successful catches are made. The bottom row summarizes the overall return for different selections, showcasing the highest return for choosing 2 at an impressive 92.86%.

Winning Odds with Six Pooper BallsExpand

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10 0 0 0 0 0 0 0 0 0.231019
9 0 0 0 0 0 0 0 0.1998 0.11988
8 0 0 0 0 0 0 0.43956 0.11988 0.20979
7 0 0 0 0 0 0.466200 0.199800 0.201399 0.139860
6 0 0 0 0 0.517316 0.192308 0.13986 0.223776 0.157343
5 0 0 0 0.627706 0.129870 0.122378 0.055944 0.125874 0.0629370
4 0 0 0.47619 0.155844 0.090909 0.065268 0.083916 0.050350 0
3 0 0.559524 0.142857 0.136364 0.181818 0.073427 0 0 0
2 0.928571 0.357143 0.3 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Total 0.928571 0.916667 0.919048 0.919913 0.919913 0.91958 0.919081 0.921079 0.920829

Seven Pooper Balls

The subsequent pay table shows the winnings associated with seven Pooper Balls, based on the player’s selections ranging from 2 to 10, and the how many balls matched.

Pay Table for Seven Pooper Balls

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10                 3650
9               2300 300
8             2125 300 150
7           1750 250 75 30
6         928 100 40 30 15
5       554 25 12 6 5 5
4     136 13 5 2 2 1 0
3   54 8 3 4 1 0 0 0
2 33 8 4 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0

The following pay table outlines the likelihood of winning with seven Pooper Balls, based on the number of picks the player has made, ranging from 2 to 10, alongside the number of catches.

Winning Odds with Seven Pooper BallsExpand

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10                 0.000051
9               0.000087 0.00036
8             0.000155 0.000612 0.00144
7           0.000291 0.001088 0.002448 0.004319
6         0.000583 0.00204 0.004351 0.007343 0.010798
5       0.001263 0.004079 0.008159 0.013054 0.018357 0.023756
4     0.00303 0.008838 0.016317 0.024476 0.032634 0.040385 0.047511
3   0.008333 0.021212 0.035354 0.048951 0.061189 0.071795 0.080769 0.088235
2 0.027778 0.058333 0.084848 0.106061 0.122378 0.134615 0.143590 0.15 0.154412
1 0.194444 0.233333 0.254545 0.265152 0.269231 0.269231 0.266667 0.2625 0.257353
0 0.777778 0.7 0.636364 0.583333 0.538462 0.5 0.466667 0.437500 0.411765
Total 1 1 1 1 1 1 1 1 1

This pay table illustrates the expected return when there are seven Pooper Balls, according to the number of player selections made, between 2 and 10, as well as the number of captures. The last row indicates the overall return related to the number of picks, with the highest return seen for the 10 pick at 92.19%.

Winning Odds with Seven Pooper BallsExpand

Catch Pick 2 Pick 3 Pick 4 Pick 5 Pick 6 Pick 7 Pick 8 Pick 9 Pick 10
10 0 0 0 0 0 0 0 0 0.18768
9 0 0 0 0 0 0 0 0.201049 0.10798
8 0 0 0 0 0 0 0.330225 0.183566 0.215961
7 0 0 0 0 0 0.509907 0.27195 0.183566 0.129576
6 0 0 0 0 0.540793 0.203963 0.174048 0.22028 0.16197
5 0 0 0 0.699495 0.101981 0.097902 0.078322 0.091783 0.118778
4 0 0 0.412121 0.114899 0.081585 0.048951 0.065268 0.040385 0
3 0 0.45 0.169697 0.106061 0.195804 0.061189 0 0 0
2 0.916667 0.466667 0.339394 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Total 0.916667 0.916667 0.921212 0.920455 0.920163 0.921911 0.919814 0.920629 0.921946

Strategy

According to the pay table from Red Rock, the highest possible return is 92.86% for a game where a player picks 2 with 6 Pooper Balls. It's worth noting that alternative pay tables might result in different optimal selections of picks and Pooper Balls.