# 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%.