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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.
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%.
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.
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%.
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.
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%.
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.
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%.
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.