Est. 1997 | Last Update: 23 Jul, 2008


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Trade Up Poker

Last update: Feb. 8, 2007

Trade Up Poker is a video poker variant I noticed at the Red Rock on February 5, 2007. It plays like conventional video poker, except with a dealt three of a kind, and sometimes a full house, with max coins bet, the player may trade it for two hands. In multi-play mode the player would get two times the number of original hands played. If the player takes the trade he must keep the three of a kind and will be dealt two new cards. I do not know if the two draw cards are dealt from the remaining 47-card deck, or from a 49-card deck, with only the three of a kind cards removed. The analysis in this section is based on a 49-card deck for Trade Up hands. The price for turning one hand into two is that a three of a kind in Trade Up mode pays nothing. At the Red Rock a separate pay table was indicated for all possible Trade Up hands on the draw, but except for the three of a kind, the pays were the same as the base game. The following three games were available at the Red Rock.

Double Bonus

The base game has a return of 97.19%. In Double Bonus the player may Trade Up with any three of a kind or a full house including three aces. The following table shows the return if the Trade Up feature is always taken, which it should be. The second to last row shows that on average Trade Up hands are worth 6.76 units, and occur 2.12% of the time. The lower right cell shows a return of 98.41%.

Trade Up Poker - Double Bonus
Hand Payoff Combinations Probability Return
Royal Flush 800 486385020 0.000024 0.019521
Straight Flush 50 2186439564 0.00011 0.005484
Four A 160 3048479496 0.000153 0.02447
Four 2-4 80 6371692872 0.00032 0.025572
Four 5-K 55 20157328440 0.001011 0.055618
Full House 9 190353598488 0.00955 0.085946
Flush 6 224107007316 0.011243 0.067457
Straight 4 254796344232 0.012782 0.05113
Three of a kind 3 1117657030632 0.05607 0.16821
Two pair 1 2450691904680 0.122945 0.122945
Pair 1 4268140328484 0.214122 0.214122
Nonpaying hand 0 10971866813976 0.550431 0
Trade Up 6.760958 423367164000 0.021239 0.143598
Total 19933230517200 1 0.984073

The next table shows the possible outcomes of Trade Up hands. The lower right cells shows the average value of 6.76 units. The pays have been doubled, to reflect the value of playing two hands.

Trade Up Poker - Double Bonus - Trade Up Hands Only
Hand Payoff Combinations Probability Return
Four A 320 216576 0.003336 1.067613
Four 2-4 160 608256 0.00937 1.499201
Four 5-K 110 1824768 0.02811 3.092103
Full House 18 3974400 0.061224 1.102041
Three of a kind 0 58291200 0.897959 0
Total 64915200 1 6.760958

Double Double Bonus

The base game has a return of 95.48%. In Double Double Bonus the player may Trade Up with any three of a kind or a full house including three A's, 2's, 3's, or 4's. The following table shows the return if the Trade Up feature is always taken, which it should be. The second to last row shows that on average Trade Up hands are worth 7.20 units, and occur 2.16% of the time. The lower right cell shows a return of 97.15%.

Trade Up Poker - Double Double Bonus
Hand Payoff Combinations Probability Return
Royal Flush 800 497407812 0.000025 0.019963
Straight Flush 50 2139977376 0.000107 0.005368
Four A + 2-4 400 857421252 0.000043 0.017206
Four 2-4 + A-4 160 1820009352 0.000091 0.014609
Four A 160 2347264860 0.000118 0.018841
Four 2-4 80 4561032408 0.000229 0.018305
Four 5-K 55 21143201136 0.001061 0.058339
Full House 6 156910250448 0.007872 0.047231
Flush 5 219097893972 0.010992 0.054958
Straight 4 258390466380 0.012963 0.051851
Three of a kind 3 1163567767368 0.058373 0.17512
Two pair 1 2179950661368 0.109363 0.109363
Pair 1 4486936055616 0.225098 0.225098
Trade up 7.195415 429993780480 0.021572 0.155217
Nonpaying hand 0 11005017327372 0.552094 0
Total 19933230517200 1 0.971468

The next table shows the possible outcomes of Trade Up hands. The lower right cells shows the average value of 7.20 units. The pays have been doubled, to reflect the value of playing two hands.

Trade Up Poker - Double Double Bonus - Trade Up Hands Only
Hand Payoff Combinations Probability Return
Four A + 2-4 800 54144 0.000821 0.656975
Four 2-4 + A-4 320 162432 0.002464 0.78837
Four A + 5-K 320 162432 0.002464 0.78837
Four 2-4 + 5-K 160 487296 0.007391 1.182555
Four 5-K 110 1824768 0.027677 3.044451
Full House 12 4036608 0.061224 0.734694
Three of a kind 0 59203584 0.897959 0
Total 65931264 1 7.195415

Double Bonus Deluxe

The base game has a return of 95.36%. In Double Bonus Deluxe the player may Trade Up with any three of a kind or full house. The following table shows the return if the Trade Up feature is always taken, which it should be. The second to last row shows that on average Trade Up hands are worth 7.27 units, and occur 2.26% of the time. The lower right cell shows a return of 97.18%.

Trade Up Poker - Double Bonus Deluxe
Hand Payoff Combinations Probability Return
Royal Flush 800 491854620 0.000025 0.01974
Straight Flush 50 2154468204 0.000108 0.005404
Four of a kind 80 30500153700 0.00153 0.122409
Full House 6 136353849156 0.006841 0.041043
Flush 5 216500514576 0.010861 0.054306
Straight 4 260261261016 0.013057 0.052227
Three of a kind 3 1155996489048 0.057993 0.17398
Two pair 1 2172335996736 0.108981 0.108981
Pair 1 4579168127832 0.229725 0.229725
Nonpaying hand 0 10929594172392 0.54831 0
Trade Up 7.265306 449873629920 0.022569 0.163971
Total 19933230517200 1 0.971787

The next table shows the possible outcomes of Trade Up hands. The lower right cells shows the average value of 6.76 units. The pays have been doubled, to reflect the value of playing two hands.

Trade Up Poker - Double Bonus - Trade Up Hands Only
Hand Payoff Combinations Probability Return
Four of a kind 160 2815488 0.040816 6.530612
Full House 12 4223232 0.061224 0.734694
Three of a kind 0 61940736 0.897959 0
Total 68979456 1 7.265306

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