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Power Keno When the last ball drawn hits a marked spot, earn a Power Win worth 4X! Power Keno is available on land based casino centers and regular video keno machines. However, the most convenient Power Keno is the online keno casinos. Online, Power Keno is offered by WinADay Casino where you can choose to play free or with real money and stand a.
IntroductionIntroduction
 Triple Power Keno is a keno variation I noticed on a multi-game machine at the Red Rock casino on January 26, 2012. It plays like conventional keno, except if the last ball is one of the player's picks, then the player gets three extra balls and any win is tripled. Return Tables
Following are various pay tables and their associated returns for various sets of pay tables I have seen. 
Pay Table 1 has a maximum return of 88.75% for a pick 2. 
Pay Table 1Expand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0  0  0  0  0  0  0  0  0 
 1  1  0  0  0  0  0  0  0  0 
 2  6  2  1  1  0  0  0  0  0 
 3  27  6  2  2  1  1  0  0 
 4  48  10  6  4  2  2  1 
 5  85  31  11  6  5  4 
 6  125  54  12  10  6 
 7  200  90  32  16 
 8  500  150  50 
 9  1000  400 
 10  1000 
 Return  86.49%  88.75%  88.62%  88.34%  88.50%  88.62%  88.55%  88.62%  88.40% 

Pay Table 2 has a maximum return of 90.77% for a pick 2. 
Pay Table 2Expand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0  0  0  0  0  0  0  0  0 
 1  1  0  0  0  0  0  0  0  0 
 2  6  2  1  1  0  0  0  0  0 
 3  28  6  2  2  1  1  0  0 
 4  51  10  6  4  2  2  1 
 5  100  33  12  5  3  3 
 6  150  55  20  13  7 
 7  200  100  80  25 
 8  500  200  120 
 9  1000  500 
 10  1000 
 Return  86.49%  90.77%  90.24%  90.44%  90.68%  90.56%  90.31%  90.41%  90.59% 

Catch	Pick 2	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	0
1	1	0	0	0	0	0	0	0	0
2	6	2	1	1	0	0	0	0	0
3	27	6	2	2	1	1	0	0
4	48	10	6	4	2	2	1
5	85	31	11	6	5	4
6	125	54	12	10	6
7	200	90	32	16
8	500	150	50
9	1000	400
10	1000
Return	86.49%	88.75%	88.62%	88.34%	88.50%	88.62%	88.55%	88.62%	88.40%

Catch	Pick 2	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	0
1	1	0	0	0	0	0	0	0	0
2	6	2	1	1	0	0	0	0	0
3	28	6	2	2	1	1	0	0
4	51	10	6	4	2	2	1
5	100	33	12	5	3	3
6	150	55	20	13	7
7	200	100	80	25
8	500	200	120
9	1000	500
10	1000
Return	86.49%	90.77%	90.24%	90.44%	90.68%	90.56%	90.31%	90.41%	90.59%

Pay Table 3 has a maximum return of 91.33% for a pick 7. 
Pay Table 3Expand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0  0  0  0  0  0  0  0  0 
 1  1  0  0  0  0  0  0  0  0 
 2  6  2  1  1  0  0  0  0  0 
 3  28  7  2  2  1  1  0  0 
 4  40  12  8  4  2  2  1 
 5  75  19  12  6  5  4 
 6  150  59  16  10  7 
 7  200  95  42  14 
 8  500  200  72 
 9  1000  350 
 10  1000 
 Return  86.49%  90.77%  90.50%  91.07%  91.08%  91.33%  91.22%  91.27%  91.18% 

Pay Table 4 has a maximum return of 92.50% for a pick 5. 
Pay Table 4Expand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0  0  0  0  0  0  0  0  0 
 1  1  0  0  0  0  0  0  0  0 
 2  6  2  1  1  0  0  0  0  0 
 3  28  6  2  2  1  1  0  0 
 4  55  11  7  4  2  2  1 
 5  100  28  12  5  5  4 
 6  150  65  24  10  7 
 7  200  95  50  15 
 8  500  175  90 
 9  1000  250 
 10  1000 
 Return  86.49%  90.77%  92.38%  92.50%  92.18%  92.49%  92.44%  92.45%  92.35% 

Pay Table 5 has a maximum return of 94.56% for a pick 5. 
Pay Table 5Expand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0  0  0  0  0  0  0  0  0 
 1  1  0  0  0  0  0  0  0  0 
 2  6  3  1  1  0  0  0  0  0 
 3  21  6  2  2  1  1  0  0 
 4  58  12  8  5  2  2  1 
 5  100  24  8  5  5  3 
 6  150  65  27  12  9 
 7  250  92  45  27 
 8  500  180  80 
 9  1000  400 
 10  1000 
 Return  86.49%  93.68%  94.00%  94.56%  94.32%  94.35%  94.08%  94.35%  94.32% 

Analysis
Following is an example pay table seen at the Red Rock. 
Example Pay TableCatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
0000000000
1100000000
2621100000
3276221100
4481064221
5853111654
61255412106
7200903216
850015050
91000400
101000
The next table shows the probabilities for catching any given number of balls, assuming that the player did NOT catch the last ball. 

Catch	Pick 2	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	0
1	1	0	0	0	0	0	0	0	0
2	6	2	1	1	0	0	0	0	0
3	28	7	2	2	1	1	0	0
4	40	12	8	4	2	2	1
5	75	19	12	6	5	4
6	150	59	16	10	7
7	200	95	42	14
8	500	200	72
9	1000	350
10	1000
Return	86.49%	90.77%	90.50%	91.07%	91.08%	91.33%	91.22%	91.27%	91.18%

Catch	Pick 2	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	0
1	1	0	0	0	0	0	0	0	0
2	6	2	1	1	0	0	0	0	0
3	28	6	2	2	1	1	0	0
4	55	11	7	4	2	2	1
5	100	28	12	5	5	4
6	150	65	24	10	7
7	200	95	50	15
8	500	175	90
9	1000	250
10	1000
Return	86.49%	90.77%	92.38%	92.50%	92.18%	92.49%	92.44%	92.45%	92.35%

Catch	Pick 2	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	0
1	1	0	0	0	0	0	0	0	0
2	6	3	1	1	0	0	0	0	0
3	21	6	2	2	1	1	0	0
4	58	12	8	5	2	2	1
5	100	24	8	5	5	3
6	150	65	27	12	9
7	250	92	45	27
8	500	180	80
9	1000	400
10	1000
Return	86.49%	93.68%	94.00%	94.56%	94.32%	94.35%	94.08%	94.35%	94.32%

Catch	Pick 2	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	0
1	1	0	0	0	0	0	0	0	0
2	6	2	1	1	0	0	0	0	0
3	27	6	2	2	1	1	0	0
4	48	10	6	4	2	2	1
5	85	31	11	6	5	4
6	125	54	12	10	6
7	200	90	32	16
8	500	150	50
9	1000	400
10	1000

20-Ball Probabilities if the 20th Ball Was Not CaughtExpand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
0.560127  0.416504  0.308321  0.227184  0.166602  0.121574  0.088266  0.063748  0.045791 
0.360759  0.409323  0.411095  0.385402  0.345320  0.299433  0.253141  0.209632  0.170593 
0.054114  0.124878  0.191372  0.243412  0.277489  0.293989  0.295331  0.284784  0.265731 
0.011794  0.036761  0.071345  0.110347  0.148744  0.182568  0.209193  0.227292 
0.002451  0.009674  0.022830  0.041753  0.065203  0.091284  0.117855 
0.000484  0.002322  0.006479  0.013727  0.024451  0.038571 
0.000090  0.000512  0.001657  0.004004  0.008036 
0.000016  0.000104  0.000385  0.001047 
0.000003  0.000020  0.000081 
0.000000  0.000003 
0.000000 
 Total  0.975000  0.962500  0.950000  0.937500  0.925000  0.912500  0.900000  0.887500  0.875000 
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The next table shows the probability of each combination of picks and catches assuming the player DID catch the 20th ball. 
20-Ball Probabilities if the 20th Ball Was CaughtExpand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000 
0.018038  0.019426  0.018500  0.016431  0.013934  0.011423  0.009121  0.007126  0.005464 
0.006962  0.015263  0.022201  0.026777  0.028919  0.028997  0.027541  0.025082  0.022079 
0.002812  0.008325  0.015336  0.022493  0.028724  0.033367  0.036147  0.037093 
0.000974  0.003651  0.008179  0.014185  0.020985  0.027806  0.033941 
0.000304  0.001388  0.003675  0.007384  0.012460  0.018602 
0.000088  0.000473  0.001450  0.003323  0.006318 
0.000023  0.000147  0.000514  0.001326 
0.000006  0.000042  0.000165 
0.000001  0.000011 
0.000000 
 Total  0.025000  0.037500  0.050000  0.062500  0.075000  0.087500  0.100000  0.112500  0.125000 

The next table shows the contribution to the return for all combinations of picks and catches, assuming the 20th ball was not caught. 

Catch	Pick 2	Pick 3	Pick 4	Pick 5	Pick 6	Pick 7	Pick 8	Pick 9	Pick 10
0	0.560127	0.416504	0.308321	0.227184	0.166602	0.121574	0.088266	0.063748	0.045791
1	0.360759	0.409323	0.411095	0.385402	0.345320	0.299433	0.253141	0.209632	0.170593
2	0.054114	0.124878	0.191372	0.243412	0.277489	0.293989	0.295331	0.284784	0.265731
3	0.011794	0.036761	0.071345	0.110347	0.148744	0.182568	0.209193	0.227292
4	0.002451	0.009674	0.022830	0.041753	0.065203	0.091284	0.117855
5	0.000484	0.002322	0.006479	0.013727	0.024451	0.038571
6	0.000090	0.000512	0.001657	0.004004	0.008036
7	0.000016	0.000104	0.000385	0.001047
8	0.000003	0.000020	0.000081
9	0.000000	0.000003
10	0.000000
Total	0.975000	0.962500	0.950000	0.937500	0.925000	0.912500	0.900000	0.887500	0.875000

Catch	Pick 2	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	0.000000
1	0.018038	0.019426	0.018500	0.016431	0.013934	0.011423	0.009121	0.007126	0.005464
2	0.006962	0.015263	0.022201	0.026777	0.028919	0.028997	0.027541	0.025082	0.022079
3	0.002812	0.008325	0.015336	0.022493	0.028724	0.033367	0.036147	0.037093
4	0.000974	0.003651	0.008179	0.014185	0.020985	0.027806	0.033941
5	0.000304	0.001388	0.003675	0.007384	0.012460	0.018602
6	0.000088	0.000473	0.001450	0.003323	0.006318
7	0.000023	0.000147	0.000514	0.001326
8	0.000006	0.000042	0.000165
9	0.000001	0.000011
10	0.000000
Total	0.025000	0.037500	0.050000	0.062500	0.075000	0.087500	0.100000	0.112500	0.125000

Pay Table 3 has a maximum return of 91.33% for a pick 7. 
Pay Table 3Expand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0  0  0  0  0  0  0  0  0 
 1  1  0  0  0  0  0  0  0  0 
 2  6  2  1  1  0  0  0  0  0 
 3  28  7  2  2  1  1  0  0 
 4  40  12  8  4  2  2  1 
 5  75  19  12  6  5  4 
 6  150  59  16  10  7 
 7  200  95  42  14 
 8  500  200  72 
 9  1000  350 
 10  1000 
 Return  86.49%  90.77%  90.50%  91.07%  91.08%  91.33%  91.22%  91.27%  91.18% 

Pay Table 4 has a maximum return of 92.50% for a pick 5. 
Pay Table 4Expand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0  0  0  0  0  0  0  0  0 
 1  1  0  0  0  0  0  0  0  0 
 2  6  2  1  1  0  0  0  0  0 
 3  28  6  2  2  1  1  0  0 
 4  55  11  7  4  2  2  1 
 5  100  28  12  5  5  4 
 6  150  65  24  10  7 
 7  200  95  50  15 
 8  500  175  90 
 9  1000  250 
 10  1000 
 Return  86.49%  90.77%  92.38%  92.50%  92.18%  92.49%  92.44%  92.45%  92.35% 

Pay Table 5 has a maximum return of 94.56% for a pick 5. 
Pay Table 5Expand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0  0  0  0  0  0  0  0  0 
 1  1  0  0  0  0  0  0  0  0 
 2  6  3  1  1  0  0  0  0  0 
 3  21  6  2  2  1  1  0  0 
 4  58  12  8  5  2  2  1 
 5  100  24  8  5  5  3 
 6  150  65  27  12  9 
 7  250  92  45  27 
 8  500  180  80 
 9  1000  400 
 10  1000 
 Return  86.49%  93.68%  94.00%  94.56%  94.32%  94.35%  94.08%  94.35%  94.32% 

Analysis
Following is an example pay table seen at the Red Rock. 
Example Pay TableCatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
0000000000
1100000000
2621100000
3276221100
4481064221
5853111654
61255412106
7200903216
850015050
91000400
101000
The next table shows the probabilities for catching any given number of balls, assuming that the player did NOT catch the last ball. 
20-Ball Probabilities if the 20th Ball Was Not CaughtExpand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0.560127  0.416504  0.308321  0.227184  0.166602  0.121574  0.088266  0.063748  0.045791 
 1  0.360759  0.409323  0.411095  0.385402  0.345320  0.299433  0.253141  0.209632  0.170593 
 2  0.054114  0.124878  0.191372  0.243412  0.277489  0.293989  0.295331  0.284784  0.265731 
 3  0.011794  0.036761  0.071345  0.110347  0.148744  0.182568  0.209193  0.227292 
 4  0.002451  0.009674  0.022830  0.041753  0.065203  0.091284  0.117855 
 5  0.000484  0.002322  0.006479  0.013727  0.024451  0.038571 
 6  0.000090  0.000512  0.001657  0.004004  0.008036 
 7  0.000016  0.000104  0.000385  0.001047 
 8  0.000003  0.000020  0.000081 
 9  0.000000  0.000003 
 10  0.000000 
 Total  0.975000  0.962500  0.950000  0.937500  0.925000  0.912500  0.900000  0.887500  0.875000 
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The next table shows the probability of each combination of picks and catches assuming the player DID catch the 20th ball. 
20-Ball Probabilities if the 20th Ball Was CaughtExpand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000 
 1  0.018038  0.019426  0.018500  0.016431  0.013934  0.011423  0.009121  0.007126  0.005464 
 2  0.006962  0.015263  0.022201  0.026777  0.028919  0.028997  0.027541  0.025082  0.022079 
 3  0.002812  0.008325  0.015336  0.022493  0.028724  0.033367  0.036147  0.037093 
 4  0.000974  0.003651  0.008179  0.014185  0.020985  0.027806  0.033941 
 5  0.000304  0.001388  0.003675  0.007384  0.012460  0.018602 
 6  0.000088  0.000473  0.001450  0.003323  0.006318 
 7  0.000023  0.000147  0.000514  0.001326 
 8  0.000006  0.000042  0.000165 
 9  0.000001  0.000011 
 10  0.000000 
 Total  0.025000  0.037500  0.050000  0.062500  0.075000  0.087500  0.100000  0.112500  0.125000 

The next table shows the contribution to the return for all combinations of picks and catches, assuming the 20th ball was not caught. 
Return if the 20th Ball Was Not CaughtExpand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000 
 1  0.360759  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000 
 2  0.324684  0.374635  0.191372  0.243412  0.000000  0.000000  0.000000  0.000000  0.000000 
 3  0.247675  0.220564  0.142690  0.220693  0.148744  0.182568  0.000000  0.000000 
 4  0.142141  0.116086  0.182643  0.208764  0.130406  0.182568  0.117855 
 5  0.048369  0.055721  0.051831  0.068635  0.122256  0.115712 
 6  0.013543  0.033309  0.044731  0.048044  0.072320 
 7  0.003965  0.009595  0.017307  0.028276 
 8  0.001304  0.003520  0.006500 
 9  0.000398  0.001347 
 10  0.000056 
 Total  0.685443  0.622310  0.554078  0.550557  0.472601  0.446614  0.437239  0.374093  0.342066 

The next table shows the contribution to the return for all combinations of picks and catches, assuming the 20th ball was caught. 
Return Table if 20th Ball Was CaughtExpand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000 
 1  0.054114  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000 
 2  0.125316  0.137366  0.066602  0.080331  0.000000  0.000000  0.000000  0.000000  0.000000 
 3  0.177130  0.149854  0.092016  0.134956  0.086171  0.100100  0.000000  0.000000 
 4  0.169426  0.131451  0.196300  0.212769  0.125912  0.166834  0.101824 
 5  0.091285  0.099903  0.088202  0.110756  0.186901  0.167421 
 6  0.039435  0.092140  0.117442  0.119617  0.170580 
 7  0.017616  0.040494  0.069323  0.107402 
 8  0.008825  0.022636  0.039675 
 9  0.004137  0.013284 
 10  0.000906 
 Total  0.179430  0.314496  0.385881  0.395083  0.470594  0.496898  0.503530  0.569449  0.601094 

The final analysis table shows the combined return for all picks and catches, whether or not the 20th ball was caught. 
Combined ReturnExpand CatchPick 2Pick 3Pick 4Pick 5Pick 6Pick 7Pick 8Pick 9Pick 10
 0  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000 
 1  0.414873  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000 
 2  0.450000  0.512001  0.257974  0.323743  0.000000  0.000000  0.000000  0.000000  0.000000 
 3  0.424805  0.370418  0.234705  0.355649  0.234916  0.282669  0.000000  0.000000 
 4  0.311567  0.247537  0.378943  0.421533  0.256318  0.349402  0.219679 
 5  0.139655  0.155624  0.140033  0.179391  0.309157  0.283134 
 6  0.052979  0.125449  0.162173  0.167661  0.242901 
 7  0.021581  0.050089  0.086630  0.135678 
 8  0.010129  0.026156  0.046175 
 9  0.004535  0.014631 
 10  0.000962 
 Total  0.864873  0.936806  0.939959  0.945640  0.943195  0.943512  0.940769  0.943542  0.943160 


Written by:Michael Shackleford
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