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Color Match Royals
Introduction
Color Match Royals is a video poker that adds additional line items to the pay for a flush, straight flush, and royal flush in the same color. It can be played in 3-, 5-, and 10-play mode. For one to five coins bet per hand, it plays like conventional video poker. If the player bets ten coins per hand, then it enables the extra paying hands. Betting max coins also bumps up the pays on some of the other hands, especially the straight flush from 50 to 200.
Here are examples of each additional hand:
| Black flush |  | ||
| Black straight flush |  | ||
| Red royal flush |  |
Of course, nothing ever comes free. The price you pay for these extra pay is a fee equal to five coins per line bet. In other words, you must wager 10 coins per line bet, but wins are based on a bet of 5 coins only.
Analysis
The following table shows the probability and contribution to the return for some known pay tables. The return column is the product of the win, probability and 0.5. The reason for dividing by 2 is wins are based on only half the total wager. The overall returns can be found in the lower right corner of each table.
9-7 Jacks or Better
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Colored royal flush | 400 | 5,983,421,620 | 0.000300 | 0.060035 |
| Colored straight flush | 60 | 34,942,566,604 | 0.001753 | 0.052589 |
| Colored flush | 4 | 5,566,090,637,932 | 0.279237 | 0.558474 |
| Royal flush | 800 | 423,344,460 | 0.000021 | 0.008495 |
| Straight flush | 200 | 2,563,185,108 | 0.000129 | 0.012859 |
| Four of a kind | 25 | 27,683,651,292 | 0.001389 | 0.017360 |
| Full house | 9 | 154,840,105,068 | 0.007768 | 0.034956 |
| Flush | 7 | 238,762,710,912 | 0.011978 | 0.041923 |
| Straight | 4 | 119,600,509,600 | 0.006000 | 0.012000 |
| Three of a kind | 3 | 746,402,640,764 | 0.037445 | 0.056168 |
| Two pair | 2 | 1,482,316,048,664 | 0.074364 | 0.074364 |
| Jacks or better | 1 | 2,386,104,457,792 | 0.119705 | 0.059852 |
| Nothing | 0 | 9,167,517,237,384 | 0.459911 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 0.989075 |
8/7 Bonus Poker Deluxe
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Colored royal flush | 400 | 5,956,767,124 | 0.000299 | 0.059767 |
| Colored straight flush | 60 | 34,804,596,288 | 0.001746 | 0.052382 |
| Colored flush | 4 | 5,693,964,394,316 | 0.285652 | 0.571304 |
| Royal flush | 800 | 419,393,964 | 0.000021 | 0.008416 |
| Straight flush | 150 | 2,398,878,152 | 0.000120 | 0.009026 |
| Four of a kind | 80 | 27,829,516,924 | 0.001396 | 0.055845 |
| Full house | 8 | 128,704,486,284 | 0.006457 | 0.025827 |
| Flush | 7 | 242,212,008,544 | 0.012151 | 0.042529 |
| Straight | 4 | 118,792,886,696 | 0.005960 | 0.011919 |
| Three of a kind | 3 | 764,318,972,604 | 0.038344 | 0.057516 |
| Two pair | 1 | 1,219,925,875,256 | 0.061201 | 0.030600 |
| Jacks or better | 1 | 2,469,358,699,500 | 0.123882 | 0.061941 |
| Nothing | 0 | 9,224,544,041,548 | 0.462772 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 0.987072 |
7-6 Bonus
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Colored royal flush | 400 | 5,978,559,180 | 0.000300 | 0.059986 |
| Colored straight flush | 60 | 34,812,941,900 | 0.001746 | 0.052394 |
| Colored flush | 4 | 5,600,887,565,944 | 0.280982 | 0.561965 |
| Royal flush | 800 | 420,790,260 | 0.000021 | 0.008444 |
| Straight flush | 200 | 2,515,014,788 | 0.000126 | 0.012617 |
| Four aces + 2-4 | 80 | 677,146,800 | 0.000034 | 0.001359 |
| Four 2-4 + A-4 | 40 | 1,410,964,676 | 0.000071 | 0.001416 |
| Four aces + 5-K | 80 | 2,044,656,020 | 0.000103 | 0.004103 |
| Four 2-4 | 40 | 4,234,072,744 | 0.000212 | 0.004248 |
| Four 5-K | 25 | 19,341,301,100 | 0.000970 | 0.012129 |
| Full house | 7 | 149,809,080,300 | 0.007516 | 0.026304 |
| Flush | 6 | 236,229,862,132 | 0.011851 | 0.035553 |
| Straight | 4 | 118,955,557,072 | 0.005968 | 0.011935 |
| Three of a kind | 3 | 750,043,817,468 | 0.037628 | 0.056442 |
| Two pair | 2 | 1,432,571,713,320 | 0.071869 | 0.071869 |
| Jacks or better | 1 | 2,418,112,138,860 | 0.121311 | 0.060655 |
| Nothing | 0 | 9,155,185,334,636 | 0.459293 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 0.981419 |
9-7-5 Double Bonus
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Colored royal flush | 400 | 5,968,406,708 | 0.000299 | 0.059884 |
| Colored straight flush | 60 | 34,595,131,076 | 0.001736 | 0.052067 |
| Colored flush | 4 | 5,670,732,043,856 | 0.284486 | 0.568973 |
| Royal flush | 800 | 420,680,524 | 0.000021 | 0.008442 |
| Straight flush | 200 | 2,583,032,188 | 0.000130 | 0.012958 |
| Four aces | 160 | 3,229,373,444 | 0.000162 | 0.012961 |
| Four 2-4 | 80 | 5,645,037,420 | 0.000283 | 0.011328 |
| Four 5-K | 50 | 19,406,113,452 | 0.000974 | 0.024339 |
| Full house | 9 | 121,551,477,564 | 0.006098 | 0.027441 |
| Flush | 7 | 238,602,265,528 | 0.011970 | 0.041895 |
| Straight | 5 | 131,691,721,568 | 0.006607 | 0.016517 |
| Three of a kind | 3 | 776,660,045,876 | 0.038963 | 0.058445 |
| Two pair | 1 | 1,166,281,588,692 | 0.058509 | 0.029255 |
| Jacks or better | 1 | 2,522,468,813,920 | 0.126546 | 0.063273 |
| Nothing | 0 | 9,233,394,785,384 | 0.463216 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 0.987776 |
9-5 Double Double Bonus
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Colored royal flush | 400 | 5,969,163,508 | 0.000299 | 0.059892 |
| Colored straight flush | 60 | 35,151,169,064 | 0.001763 | 0.052903 |
| Colored flush | 4 | 5,666,244,668,260 | 0.284261 | 0.568522 |
| Royal flush | 800 | 419,348,556 | 0.000021 | 0.008415 |
| Straight flush | 200 | 2,603,940,680 | 0.000131 | 0.013063 |
| Four aces + 2-4 | 400 | 904,752,508 | 0.000045 | 0.009078 |
| Four 2-4 + A-4 | 160 | 1,624,172,264 | 0.000081 | 0.006518 |
| Four aces + 5-K | 160 | 2,374,242,420 | 0.000119 | 0.009529 |
| Four 2-4 | 80 | 4,027,761,496 | 0.000202 | 0.008083 |
| Four 5-K | 50 | 19,429,869,404 | 0.000975 | 0.024369 |
| Full house | 9 | 121,953,928,668 | 0.006118 | 0.027532 |
| Flush | 5 | 232,510,731,244 | 0.011664 | 0.029161 |
| Straight | 4 | 120,028,094,032 | 0.006022 | 0.012043 |
| Three of a kind | 3 | 781,129,468,284 | 0.039187 | 0.058781 |
| Two pair | 1 | 1,173,426,590,468 | 0.058868 | 0.029434 |
| Jacks or better | 1 | 2,549,420,257,428 | 0.127898 | 0.063949 |
| Nothing | 0 | 9,216,012,358,916 | 0.462344 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 0.981272 |
9-6 Triple Double Bonus
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Red & black royal flush | 400 | 5,931,690,556 | 0.000298 | 0.059516 |
| Red & black straight flush | 50 | 31,396,563,176 | 0.001575 | 0.039377 |
| Red & black flush | 4 | 5,687,652,506,360 | 0.285335 | 0.570670 |
| Royal flush | 800 | 416,105,668 | 0.000021 | 0.008350 |
| Straight flush | 200 | 2,540,138,656 | 0.000127 | 0.012743 |
| Four aces + 2-4 | 800 | 1,152,903,444 | 0.000058 | 0.023135 |
| Four 2-4 + A-4 | 400 | 2,210,279,808 | 0.000111 | 0.022177 |
| Four aces + 5-K | 160 | 1,984,017,420 | 0.000100 | 0.007963 |
| Four 2-4 | 80 | 2,753,126,772 | 0.000138 | 0.005525 |
| Four 5-K | 50 | 19,239,727,188 | 0.000965 | 0.024130 |
| Full house | 9 | 116,629,732,824 | 0.005851 | 0.026330 |
| Flush | 6 | 237,475,993,876 | 0.011914 | 0.035741 |
| Straight | 4 | 125,165,884,360 | 0.006279 | 0.012559 |
| Three of a kind | 2 | 787,494,873,352 | 0.039507 | 0.039507 |
| Two pair | 1 | 1,180,245,960,124 | 0.059210 | 0.029605 |
| Jacks or better | 1 | 2,575,008,794,952 | 0.129182 | 0.064591 |
| Nothing | 0 | 9,155,932,218,664 | 0.459330 | 0.000000 |
| Total | 19,933,230,517,200 | 1.000000 | 0.981917 |
Strategy
Sorry, you're on your own with that for now. However, notice that in the case of Double Double Bonus, 68.1% of the return comes from the colored wins, with 56.9% in the colored flushes alone. So, the strategy must be significantly different than conventional video poker.
Acknowledgements
I would like to thank Gary J. Koehler for his confirmation of my analysis.
Written by: Michael Shackleford
