三重力量基诺
介绍
三重力量基诺 (Triple Power Keno) 是我在 2012 年 1 月 26 日在红岩赌场 (Red Rock casino) 的一台多游戏机上注意到的一种基诺游戏变体。它的玩法与传统基诺游戏类似,但如果最后一个球是玩家选择的球之一,那么玩家将获得三个额外的球,并且任何奖金都会增加三倍。
返回表
以下是我见过的各种支付表及其相关回报。
支付表 1 中,选择 2 的最大回报率为 88.75%。
支付表 1展开
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 | | 二十七 | 6 | 2 | 2 | 1 | 1 | 0 | 0 |
4 | | | 四十八 | 10 | 6 | 4 | 2 | 2 | 1 |
5 | | | | 85 | 31 | 11 | 6 | 5 | 4 |
6 | | | | | 125 | 54 | 12 | 10 | 6 |
7 | | | | | | 200 | 90 | 三十二 | 16 |
8 | | | | | | | 500 | 150 | 50 |
9 | | | | | | | | 1000 | 400 |
10 | | | | | | | | | 1000 |
返回 | 86.49% | 88.75% | 88.62% | 88.34% | 88.50% | 88.62% | 88.55% | 88.62% | 88.40% |
支付表 2 中,选择 2 的最大回报率为 90.77%。
薪资表 2展开
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 | | 二十八 | 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 | 十三 | 7 |
7 | | | | | | 200 | 100 | 80 | 二十五 |
8 | | | | | | | 500 | 200 | 120 |
9 | | | | | | | | 1000 | 500 |
10 | | | | | | | | | 1000 |
返回 | 86.49% | 90.77% | 90.24% | 90.44% | 90.68% | 90.56% | 90.31% | 90.41% | 90.59% |
支付表 3 中,选择 7 的最大回报率为 91.33%。
薪资表 3展开
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 | | 二十八 | 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 | 四十二 | 14 |
8 | | | | | | | 500 | 200 | 72 |
9 | | | | | | | | 1000 | 350 |
10 | | | | | | | | | 1000 |
返回 | 86.49% | 90.77% | 90.50% | 91.07% | 91.08% | 91.33% | 91.22% | 91.27% | 91.18% |
支付表 4 中,选择 5 的最高回报率为 92.50%。
薪资表 4展开
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 | | 二十八 | 6 | 2 | 2 | 1 | 1 | 0 | 0 |
4 | | | 55 | 11 | 7 | 4 | 2 | 2 | 1 |
5 | | | | 100 | 二十八 | 12 | 5 | 5 | 4 |
6 | | | | | 150 | 65 | 24 | 10 | 7 |
7 | | | | | | 200 | 95 | 50 | 15 |
8 | | | | | | | 500 | 175 | 90 |
9 | | | | | | | | 1000 | 250 |
10 | | | | | | | | | 1000 |
返回 | 86.49% | 90.77% | 92.38% | 92.50% | 92.18% | 92.49% | 92.44% | 92.45% | 92.35% |
支付表 5 中,选择 5 的最大回报率为 94.56%。
薪资表 5展开
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 | 二十七 | 12 | 9 |
7 | | | | | | 250 | 92 | 45 | 二十七 |
8 | | | | | | | 500 | 180 | 80 |
9 | | | | | | | | 1000 | 400 |
10 | | | | | | | | | 1000 |
返回 | 86.49% | 93.68% | 94.00% | 94.56% | 94.32% | 94.35% | 94.08% | 94.35% | 94.32% |
分析
以下是在 Red Rock 看到的支付表示例。
赔付表示例
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 | | 二十七 | 6 | 2 | 2 | 1 | 1 | 0 | 0 |
4 | | | 四十八 | 10 | 6 | 4 | 2 | 2 | 1 |
5 | | | | 85 | 31 | 11 | 6 | 5 | 4 |
6 | | | | | 125 | 54 | 12 | 10 | 6 |
7 | | | | | | 200 | 90 | 三十二 | 16 |
8 | | | | | | | 500 | 150 | 50 |
9 | | | | | | | | 1000 | 400 |
10 | | | | | | | | | 1000 |
下表显示了接住任意数量球的概率,假设玩家没有接住最后一个球。
如果第 20 个球未被接住,则 20 球概率展开
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 |
全部的 | 0.975000 | 0.962500 | 0.950000 | 0.937500 | 0.925000 | 0.912500 | 0.900000 | 0.887500 | 0.875000 |
下表显示了假设球员确实接住了第 20 个球时每种接球和接球组合的概率。
如果第 20 个球被接住,则 20 球概率展开
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 |
全部的 | 0.025000 | 0.037500 | 0.050000 | 0.062500 | 0.075000 | 0.087500 | 0.100000 | 0.112500 | 0.125000 |
下表显示了所有接球和接球组合对回报的贡献,假设第 20 个球未被接住。
如果第 20 个球未被接住则返回展开
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 |
全部的 | 0.685443 | 0.622310 | 0.554078 | 0.550557 | 0.472601 | 0.446614 | 0.437239 | 0.374093 | 0.342066 |
下表显示了假设接住第 20 个球时所有接球和接球组合对回报的贡献。
第 20 个球被接住时的返回表展开
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 |
全部的 | 0.179430 | 0.314496 | 0.385881 | 0.395083 | 0.470594 | 0.496898 | 0.503530 | 0.569449 | 0.601094 |
最终分析表显示了所有接球和接球的综合回报,无论第 20 个球是否被接住。
合并回报扩大
抓住 | 选择 2 | 选择 3 | 选择 4 | 选择 5 | 挑选 6 | 选择 7 | 选8 | 选9 | 挑选 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 |
全部的 | 0.864873 | 0.936806 | 0.939959 | 0.945640 | 0.943195 | 0.943512 | 0.940769 | 0.943542 | 0.943160 |
撰写者: Michael Shackleford