Book of Keno
Introduction
Book of Keno is a keno variant by Evoplay Entertainment, a software company that makes games for Internet casinos. It works like regular keno, except there are 36 balls instead of 80.
![book of keno]()
Rules
The following table shows the pay table for 1 to 10 picks in Book of Keno.
Pay Table
Catch |
Pick 1 |
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 |
0 |
1 |
3.46 |
1.5 |
1 |
0.5 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
|
4.78 |
2.3 |
1.8 |
1.1 |
0.5 |
0.2 |
0 |
0 |
0 |
3 |
|
|
7.6 |
4.1 |
3.8 |
2.9 |
2.3 |
1.4 |
1 |
1 |
4 |
|
|
|
21 |
14 |
7.3 |
4.2 |
3 |
2.1 |
1.5 |
5 |
|
|
|
|
35 |
18 |
10 |
10 |
6.2 |
3.2 |
6 |
|
|
|
|
|
55 |
31 |
28 |
17 |
10 |
7 |
|
|
|
|
|
|
60 |
40 |
25 |
25 |
8 |
|
|
|
|
|
|
|
70 |
55 |
40 |
9 |
|
|
|
|
|
|
|
|
85 |
75 |
10 |
|
|
|
|
|
|
|
|
|
100 |
Analysis
The following table shows the number of winning combinations for all possible number of catches for 1 to 10 picks in Book of Keno.
Combinations Table
Catch |
Pick 1 |
Pick 2 |
Pick 3 |
Pick 4 |
Pick 5 |
Pick 6 |
Pick 7 |
Pick 8 |
Pick 9 |
Pick 10 |
0 |
26 |
325 |
2,600 |
14,950 |
65,780 |
230,230 |
657,800 |
1,562,275 |
3,124,550 |
5,311,735 |
1 |
10 |
260 |
3,250 |
26,000 |
149,500 |
657,800 |
2,302,300 |
6,578,000 |
15,622,750 |
31,245,500 |
2 |
|
45 |
1,170 |
14,625 |
117,000 |
672,750 |
2,960,100 |
10,360,350 |
29,601,000 |
70,302,375 |
3 |
|
|
120 |
3,120 |
39,000 |
312,000 |
1,794,000 |
7,893,600 |
27,627,600 |
78,936,000 |
4 |
|
|
|
210 |
5,460 |
68,250 |
546,000 |
3,139,500 |
13,813,800 |
48,348,300 |
5 |
|
|
|
|
252 |
6,552 |
81,900 |
655,200 |
3,767,400 |
16,576,560 |
6 |
|
|
|
|
|
210 |
5,460 |
68,250 |
546,000 |
3,139,500 |
7 |
|
|
|
|
|
|
120 |
3,120 |
39,000 |
312,000 |
8 |
|
|
|
|
|
|
|
45 |
1,170 |
14,625 |
9 |
|
|
|
|
|
|
|
|
10 |
260 |
10 |
|
|
|
|
|
|
|
|
|
1 |
Total |
36 |
630 |
7,140 |
58,905 |
376,992 |
1,947,792 |
8,347,680 |
30,260,340 |
94,143,280 |
254,186,856 |
The following table shows the probability for all possible number of catches for 1 to 10 picks in Book of Keno.
Probability Table
Catch |
Pick 1 |
Pick 2 |
Pick 3 |
Pick 4 |
Pick 5 |
Pick 6 |
Pick 7 |
Pick 8 |
Pick 9 |
Pick 10 |
0 |
0.722222 |
0.515873 |
0.364146 |
0.253798 |
0.174486 |
0.118201 |
0.078800 |
0.051628 |
0.033189 |
0.020897 |
1 |
0.277778 |
0.412698 |
0.455182 |
0.441389 |
0.396560 |
0.337716 |
0.275801 |
0.217380 |
0.165947 |
0.122923 |
2 |
|
0.071429 |
0.163866 |
0.248281 |
0.310351 |
0.345391 |
0.354602 |
0.342374 |
0.314425 |
0.276578 |
3 |
|
|
0.016807 |
0.052967 |
0.103450 |
0.160181 |
0.214910 |
0.260856 |
0.293463 |
0.310543 |
4 |
|
|
|
0.003565 |
0.014483 |
0.035040 |
0.065407 |
0.103750 |
0.146732 |
0.190208 |
5 |
|
|
|
|
0.000668 |
0.003364 |
0.009811 |
0.021652 |
0.040018 |
0.065214 |
6 |
|
|
|
|
|
0.000108 |
0.000654 |
0.002255 |
0.005800 |
0.012351 |
7 |
|
|
|
|
|
|
0.000014 |
0.000103 |
0.000414 |
0.001227 |
8 |
|
|
|
|
|
|
|
0.000001 |
0.000012 |
0.000058 |
9 |
|
|
|
|
|
|
|
|
0.000000 |
0.000001 |
10 |
|
|
|
|
|
|
|
|
|
0.000000 |
Total |
1.000000 |
1.000000 |
1.000000 |
1.000000 |
1.000000 |
1.000000 |
1.000000 |
1.000000 |
1.000000 |
1.000000 |
The following table shows the return table for 1 to 10 picks in Book of Keno. The bottom row shows the total return for all possible number of picks.
Return Table
Catch |
Pick 1 |
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 |
0.000000 |
1 |
0.961111 |
0.619048 |
0.455182 |
0.220694 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
0.000000 |
2 |
|
0.341429 |
0.376891 |
0.446906 |
0.341387 |
0.172696 |
0.070920 |
0.000000 |
0.000000 |
0.000000 |
3 |
|
|
0.127731 |
0.217163 |
0.393112 |
0.464526 |
0.494293 |
0.365199 |
0.293463 |
0.310543 |
4 |
|
|
|
0.074866 |
0.202763 |
0.255790 |
0.274711 |
0.311249 |
0.308136 |
0.285312 |
5 |
|
|
|
|
0.023396 |
0.060549 |
0.098111 |
0.216521 |
0.248110 |
0.208685 |
6 |
|
|
|
|
|
0.005930 |
0.020276 |
0.063152 |
0.098594 |
0.123512 |
7 |
|
|
|
|
|
|
0.000863 |
0.004124 |
0.010357 |
0.030686 |
8 |
|
|
|
|
|
|
|
0.000104 |
0.000684 |
0.002301 |
9 |
|
|
|
|
|
|
|
|
0.000009 |
0.000077 |
10 |
|
|
|
|
|
|
|
|
|
0.000000 |
Total |
0.961111 |
0.960476 |
0.959804 |
0.959630 |
0.960657 |
0.959490 |
0.959174 |
0.960349 |
0.959353 |
0.961116 |
The following table summarizes the expected return for all number of picks. The greatest return is 96.11% for both the pick 1 and pick 10.
Return Summary
Pick |
Return |
1 |
96.11% |
2 |
96.05% |
3 |
95.98% |
4 |
95.96% |
5 |
96.07% |
6 |
95.95% |
7 |
95.92% |
8 |
96.03% |
9 |
95.94% |
10 |
96.11% |
🃒
Written by:
Michael Shackleford