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Multi-Strike Poker Deluxe Appendix 1
The purpose of this page is to show the return for 7-5 Bonus Poker on Multi-Strike Poker 16X.
The following table shows the probability of getting a free ride at each level.
7-5 Bonus Poker Free Ride Probabilities
| Level | Probability |
|---|---|
| 4 | 5.75% |
| 3 | 6.20% |
| 2 | 7.00% |
| 1 | 7.60% |
The following table shows the return table for playing level 5 of 7-5 Bonus Poker Deluxe. This also reflects the probabilities for conventional 7-5 Bonus Poker, and for any level where a Free Ride card was awarded. This wins are 16 times those of level 1. The lower right cell shows the value of attaining level 5 is 15.682351 times the bet per line.
7-5 Bonus Poker — Level 5 Return Table
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 12800 | 495,430,236 | 0.000025 | 0.318137 |
| Straight flush | 800 | 2,132,733,288 | 0.000107 | 0.085595 |
| Four aces | 1280 | 3,903,635,460 | 0.000196 | 0.250670 |
| Four 2-4 | 640 | 10,509,856,008 | 0.000527 | 0.337442 |
| Four 5-K | 400 | 32,673,298,536 | 0.001639 | 0.655655 |
| Full house | 112 | 229,459,754,916 | 0.011511 | 1.289279 |
| Flush | 80 | 216,946,473,756 | 0.010884 | 0.870693 |
| Straight | 64 | 224,617,025,580 | 0.011268 | 0.721182 |
| Three of a kind | 48 | 1,483,756,110,144 | 0.074436 | 3.572943 |
| Two pair | 32 | 2,576,626,215,768 | 0.129263 | 4.136411 |
| Jacks or better | 16 | 4,291,056,995,796 | 0.215272 | 3.444344 |
| Nothing | 0 | 10,861,052,987,712 | 0.544872 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 15.682351 |
The following table shows the return table for playing level 4 of 7-5 Bonus Poker Deluxe, when a Free Ride was not awarded. The wins are 8 times those of level 1, plus the expected value of 15.682351 of level 5 for any paying hand. The lower right cell shows the value of attaining level 4 with no Free Ride is 15.044824 times the bet per line.
7-5 Bonus Poker — Level 4 Return Table — No Free Ride
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 6415.682351 | 489,518,136 | 0.000025 | 0.157556 |
| Straight flush | 415.682351 | 1,503,601,272 | 0.000075 | 0.031356 |
| Four aces | 655.682351 | 3,938,392,188 | 0.000198 | 0.129549 |
| Four 2-4 | 335.682351 | 10,556,121,600 | 0.000530 | 0.177769 |
| Four 5-K | 215.682351 | 32,848,009,428 | 0.001648 | 0.355423 |
| Full house | 71.68235105 | 230,788,749,744 | 0.011578 | 0.829945 |
| Flush | 55.68235105 | 193,249,853,892 | 0.009695 | 0.539833 |
| Straight | 47.68235105 | 177,064,705,200 | 0.008883 | 0.423557 |
| Three of a kind | 39.68235105 | 1,498,958,983,380 | 0.075199 | 2.984073 |
| Two pair | 31.68235105 | 2,605,356,443,484 | 0.130704 | 4.141016 |
| Jacks or better | 23.68235105 | 4,439,710,624,536 | 0.222729 | 5.274749 |
| Nothing | 0 | 10,738,765,514,340 | 0.538737 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 15.044824 |
The following table shows the return table for playing level 4 of 7-5 Bonus Poker 16X, when a Free Ride was awarded. The wins are 8 times those of level 1, plus the expected value of 15.682351 of level 5 for any hand. The lower right cell shows the value of attaining level 4 with a Free Ride is 23.523527 times the bet per line.
7-5 Bonus Poker — Level 4 Return Table — Free Ride
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 6415.682351 | 495,430,236 | 0.000025 | 0.159458 |
| Straight flush | 415.682351 | 2,132,733,288 | 0.000107 | 0.044475 |
| Four aces | 655.682351 | 3,903,635,460 | 0.000196 | 0.128406 |
| Four 2-4 | 335.682351 | 10,509,856,008 | 0.000527 | 0.176990 |
| Four 5-K | 215.682351 | 32,673,298,536 | 0.001639 | 0.353533 |
| Full house | 71.682351 | 229,459,754,916 | 0.011511 | 0.825166 |
| Flush | 55.682351 | 216,946,473,756 | 0.010884 | 0.606028 |
| Straight | 47.682351 | 224,617,025,580 | 0.011268 | 0.537307 |
| Three of a kind | 39.682351 | 1,483,756,110,144 | 0.074436 | 2.953808 |
| Two pair | 31.682351 | 2,576,626,215,768 | 0.129263 | 4.095351 |
| Jacks or better | 23.682351 | 4,291,056,995,796 | 0.215272 | 5.098136 |
| Nothing | 15.682351 | 10,861,052,987,712 | 0.544872 | 8.544869 |
| Total | 19,933,230,517,200 | 1.000000 | 23.523527 |
The next table is a weighted average of the two level 4 tables, according to the Free Ride probability. The lower right cell shows the value of attaining level 4 is 15.532350 times the bet per level, before it is determined if a Free Ride is awarded.
7-5 Bonus Poker — Level 4 Combined Return Table
| Free Ride | Probability | Expected Return | Expected Value |
|---|---|---|---|
| Yes | 0.0575 | 23.523527 | 1.352603 |
| No | 0.9425 | 15.044824 | 14.179747 |
| Total | 1.0000 | 15.532350 |
The following table shows the return table for playing level 3 of 7-5 Bonus Poker 16X, when a Free Ride was not awarded. The wins are 4 times those of level 1, plus the expected value of 15.532350 of level 4 for any paying hand. The lower right cell shows the value of attaining level 4 with no Free Ride is 11.085671 times the bet per line.
7-5 Bonus Poker — Level 3 Return Table — No Free Ride
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 3215.53235 | 509,399,688 | 0.000026 | 0.082174 |
| Straight flush | 215.5323499 | 1,458,079,428 | 0.000073 | 0.015766 |
| Four aces | 335.5323499 | 3,971,004,420 | 0.000199 | 0.066843 |
| Four 2-4 | 175.5323499 | 9,835,680,852 | 0.000493 | 0.086613 |
| Four 5-K | 115.5323499 | 30,640,268,856 | 0.001537 | 0.177590 |
| Full house | 43.53234986 | 220,950,025,632 | 0.011085 | 0.482535 |
| Flush | 35.53234986 | 188,063,357,124 | 0.009435 | 0.335236 |
| Straight | 31.53234986 | 174,802,197,108 | 0.008769 | 0.276519 |
| Three of a kind | 27.53234986 | 1,394,343,620,556 | 0.069951 | 1.925907 |
| Two pair | 23.53234986 | 2,482,617,914,820 | 0.124547 | 2.930876 |
| Jacks or better | 19.53234986 | 4,802,189,227,164 | 0.240914 | 4.705612 |
| Nothing | 0 | 10,623,849,741,552 | 0.532972 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 11.085671 |
The following table shows the return table for playing level 3 of 7-5 Bonus Poker 16X, when a Free Ride was awarded. The wins are 4 times those of level 1, plus the expected value of 15.532350 of level 4 for any hand. The lower right cell shows the value of attaining level 4 with a Free Ride is 19.452938 times the bet per line.
7-5 Bonus Poker — Level 3 Return Table — Free Ride
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 3215.532350 | 495,430,236 | 0.000025 | 0.079920 |
| Straight flush | 215.532350 | 2,132,733,288 | 0.000107 | 0.023061 |
| Four aces | 335.532350 | 3,903,635,460 | 0.000196 | 0.065709 |
| Four 2-4 | 175.532350 | 10,509,856,008 | 0.000527 | 0.092550 |
| Four 5-K | 115.532350 | 32,673,298,536 | 0.001639 | 0.189373 |
| Full house | 43.532350 | 229,459,754,916 | 0.011511 | 0.501119 |
| Flush | 35.532350 | 216,946,473,756 | 0.010884 | 0.386722 |
| Straight | 31.532350 | 224,617,025,580 | 0.011268 | 0.355321 |
| Three of a kind | 27.532350 | 1,483,756,110,144 | 0.074436 | 2.049407 |
| Two pair | 23.532350 | 2,576,626,215,768 | 0.129263 | 3.041859 |
| Jacks or better | 19.532350 | 4,291,056,995,796 | 0.215272 | 4.204759 |
| Nothing | 15.532350 | 10,861,052,987,712 | 0.544872 | 8.463138 |
| Total | 19,933,230,517,200 | 1.000000 | 19.452938 |
The next table is a weighted average of the two level 3 tables, according to the Free Ride probability. The lower right cell shows the value of attaining level 3 is 11.604442 times the bet per level, before it is determined if a Free Ride is awarded.
7-5 Bonus Poker — Level 3 Combined Return Table
| Free Ride | Probability | Expected Return | Expected Value |
|---|---|---|---|
| Yes | 0.062 | 19.452938 | 1.206082 |
| No | 0.938 | 11.085671 | 10.398360 |
| Total | 1.000 | 11.604442 |
The following table shows the return table for playing level 2 of 7-5 Bonus Poker 16X, when a Free Ride was not awarded. The wins are 2 times those of level 1, plus the expected value of 11.604442 of level 3 for any paying hand. The lower right cell shows the value of attaining level 2 with no Free Ride is 7.341055 times the bet per line.
7-5 Bonus Poker — Level 2 Return Table — No Free Ride
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 1611.604442 | 509,506,896 | 0.000026 | 0.041194 |
| Straight flush | 111.6044416 | 1,459,886,508 | 0.000073 | 0.008174 |
| Four aces | 171.6044416 | 3,987,466,368 | 0.000200 | 0.034328 |
| Four 2-4 | 91.60444165 | 9,419,663,592 | 0.000473 | 0.043289 |
| Four 5-K | 61.60444165 | 30,674,262,420 | 0.001539 | 0.094800 |
| Full house | 25.60444165 | 219,900,175,020 | 0.011032 | 0.282464 |
| Flush | 21.60444165 | 165,271,297,956 | 0.008291 | 0.179128 |
| Straight | 19.60444165 | 144,918,061,236 | 0.007270 | 0.142528 |
| Three of a kind | 17.60444165 | 1,384,869,572,736 | 0.069475 | 1.223076 |
| Two pair | 15.60444165 | 2,478,322,846,728 | 0.124331 | 1.940119 |
| Jacks or better | 13.60444165 | 4,911,287,435,820 | 0.246387 | 3.351957 |
| Nothing | 0 | 10,582,610,341,920 | 0.530903 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 7.341055 |
The following table shows the return table for playing level 2 of 7-5 Bonus Poker 16X, when a Free Ride was awarded. The wins are 2 times those of level 1, plus the expected value of 11.604442 of level 3 for any hand. The lower right cell shows the value of attaining level 2 with a Free Ride is 13.564736 times the bet per line.
7-5 Bonus Poker — Level 2 Return Table — Free Ride
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 1611.604442 | 495,430,236 | 0.000025 | 0.040056 |
| Straight flush | 111.604442 | 2,132,733,288 | 0.000107 | 0.011941 |
| Four aces | 171.604442 | 3,903,635,460 | 0.000196 | 0.033606 |
| Four 2-4 | 91.604442 | 10,509,856,008 | 0.000527 | 0.048299 |
| Four 5-K | 61.604442 | 32,673,298,536 | 0.001639 | 0.100978 |
| Full house | 25.604442 | 229,459,754,916 | 0.011511 | 0.294743 |
| Flush | 21.604442 | 216,946,473,756 | 0.010884 | 0.235135 |
| Straight | 19.604442 | 224,617,025,580 | 0.011268 | 0.220912 |
| Three of a kind | 17.604442 | 1,483,756,110,144 | 0.074436 | 1.310410 |
| Two pair | 15.604442 | 2,576,626,215,768 | 0.129263 | 2.017075 |
| Jacks or better | 13.604442 | 4,291,056,995,796 | 0.215272 | 2.928649 |
| Nothing | 11.604442 | 10,861,052,987,712 | 0.544872 | 6.322932 |
| Total | 19,933,230,517,200 | 1.000000 | 13.564736 |
The next table is a weighted average of the two level 2 tables, according to the Free Ride probability. The lower right cell shows the value of attaining level 2 is 7.776713 times the bet per level, before it is determined if a Free Ride is awarded.
7-5 Bonus Poker — Level 2 Combined Return Table
| Free Ride | Probability | Expected Return | Expected Value |
|---|---|---|---|
| Yes | 0.07 | 13.564736 | 0.949531 |
| No | 0.93 | 7.341055 | 6.827182 |
| Total | 1.00 | 7.776713 |
The following table shows the return table for playing level 1 of 7-5 Bonus Poker 16X, when a Free Ride was not awarded. The wins include the expected value of 7.776713 of level 2 for any paying hand. The lower right cell shows the value of attaining level 1 with no Free Ride is 4.602012 times the bet per line.
7-5 Bonus Poker — Level 1 Return Table — No Free Ride
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 807.776713 | 520,208,736 | 0.000026 | 0.021081 |
| Straight flush | 57.77671305 | 1,481,573,472 | 0.000074 | 0.004294 |
| Four aces | 87.77671305 | 4,155,476,484 | 0.000208 | 0.018299 |
| Four 2-4 | 47.77671305 | 7,825,952,700 | 0.000393 | 0.018758 |
| Four 5-K | 32.77671305 | 25,972,225,836 | 0.001303 | 0.042707 |
| Full house | 14.77671305 | 199,018,924,380 | 0.009984 | 0.147535 |
| Flush | 12.77671305 | 121,183,621,728 | 0.006079 | 0.077676 |
| Straight | 11.77671305 | 153,696,960,672 | 0.007711 | 0.090805 |
| Three of a kind | 10.77671305 | 1,163,246,198,628 | 0.058357 | 0.628898 |
| Two pair | 9.776713047 | 2,217,883,390,164 | 0.111266 | 1.087812 |
| Jacks or better | 8.776713047 | 5,596,448,372,172 | 0.280760 | 2.464148 |
| Nothing | 0 | 10,441,797,612,228 | 0.523839 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 4.602012 |
The following table shows the return table for playing level 1 of 7-5 Bonus Poker 16X, when a Free Ride was awarded. The wins include the expected value of 7.776713 of level 2 for any hand. The lower right cell shows the value of attaining level 2 with a Free Ride is 8.756860 times the bet per line.
7-5 Bonus Poker — Level 1 Return Table — Free Ride
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 807.776713 | 495,430,236 | 0.000025 | 0.020077 |
| Straight flush | 57.776713 | 2,132,733,288 | 0.000107 | 0.006182 |
| Four aces | 87.776713 | 3,903,635,460 | 0.000196 | 0.017190 |
| Four 2-4 | 47.776713 | 10,509,856,008 | 0.000527 | 0.025190 |
| Four 5-K | 32.776713 | 32,673,298,536 | 0.001639 | 0.053726 |
| Full house | 14.776713 | 229,459,754,916 | 0.011511 | 0.170101 |
| Flush | 12.776713 | 216,946,473,756 | 0.010884 | 0.139057 |
| Straight | 11.776713 | 224,617,025,580 | 0.011268 | 0.132706 |
| Three of a kind | 10.776713 | 1,483,756,110,144 | 0.074436 | 0.802179 |
| Two pair | 9.776713 | 2,576,626,215,768 | 0.129263 | 1.263766 |
| Jacks or better | 8.776713 | 4,291,056,995,796 | 0.215272 | 1.889376 |
| Nothing | 7.776713 | 10,861,052,987,712 | 0.544872 | 4.237311 |
| Total | 19,933,230,517,200 | 1.000000 | 8.756860 |
The next table is a weighted average of the two level 1 tables, according to the Free Ride probability. The lower right cell shows the value of attaining level 1 is 4.917781 times the bet per level, before it is determined if a Free Ride is awarded.
7-5 Bonus Poker — Level 1 Combined Return Table
| Free Ride | Probability | Expected Return | Expected Value |
|---|---|---|---|
| Yes | 0.076 | 8.756860 | 0.665521 |
| No | 0.924 | 4.602012 | 4.252259 |
| Total | 1.000 | 4.917781 |
The player must bet five lines, so to get the expected return of the game, divide the total return of 4.917781 by 5 to get 0.983556. In single-level mode, the return for 7-5 Bonus Poker is 0.980147. So, betting all five levels increases the return by 0.34%.
Return to my main Multi-Strike 16X page.