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Trade Up Poker

Introduction



Trade Up Poker is a video poker variant I noticed at the Red Rock on February 5, 2007. It is based on conventional multi-play video poker, in 3-play and 5-play mode. The twist is that if the player is dealt a three of a kind, and sometimes a full house, then he has the option to multiply the number of hands he receives on the draw. However, the cost for getting more hands is that if a hand doesn't improve, then it loses. So, it basically makes the game more volatile, with more full houses and four of a kinds, at the expense of some of the three of a kinds paying zero.

Rules



  1. Trade Up Poker is available in 3-play and 5-play. There is a menu of games available. Not all of them are available in 5-play mode.
  2. If the player is dealt a three of a kind, and in some cases a full house, then he may choose to play it normally or go into the "Trade Up" feature.
  3. In the Trade Up feature, the number of hands will at least double, according to the following table:

    Trade Up — Number of Hands

    Base Game 3-Play 5-Play
    Bonus Poker 10 n/a
    Bonus Poker Deluxe 6 10
    Double Bonus 6 10
    Double Double Bonus 6 10
    Jacks or Better 10 n/a


    n/a = Not availabile — This game not available in 5-play mode.

  4. Each hand in the Trade Up feature will start with a three of a kind on the deal and be given two more replacements cards from the remaining 47 cards in the deck. It is important to note that the two other cards, besides the three of a kind, are removed from the deck on the draw in Trade Up mode (this rule is not stated in the game help screens).
  5. The following table shows when the player may also Trade Up to a full house, according to the game and the rank of the three of a kind in the full house:

    Trade Up — Full House Eligible for Trade Up

    Base Game Pay Table 5-K Full 2-4 Full Aces Full
    Bonus Poker 6/5 N Y Y
    Bonus Poker 5/5 N Y Y
    Bonus Poker Deluxe 8/5 N N N
    Bonus Poker Deluxe 7/5 Y Y Y
    Bonus Poker Deluxe 6/5 Y Y Y
    Bonus Poker Deluxe 5/5 Y Y Y
    Double Bonus 9/6/5 N N Y
    Double Bonus 9/6/4 N N Y
    Double Bonus 9/5/4 N N Y
    Double Bonus 8/5/4 N N Y
    Double Double Bonus 8/5 N Y Y
    Double Double Bonus 7/5 N Y Y
    Double Double Bonus 6/5 N Y Y
    Jacks or Better 8/6 N N N
    Jacks or Better 8/5 N N N
    Jacks or Better 7/5 N N N
    Jacks or Better 6/5 N N N




Example



In the image above I was playing 5-play video poker and was dealt this three of a kind. The decision before me was to play it normally, in 5-play mode, or in Trade Up mode.

I chose Trade Up mode. So I now have ten hands with the modified Trade Up pay table you can see on the sides. The only thing left to do was press the "draw" button.

Of my ten hands, one three of a kind improved to a full house and another to a four of a kind.

Screenshots from VideoPoker.com.

Strategy



The player should always Trade Up. Otherwise, use conventional video poker strategy.

Jacks or Better



The Jacks or Better games are available in 3-play mode only. In Trade Up mode, the player receives ten hands. Unlike my return tables for other video poker games, this one shows the expected number per initial hand, as opposed to the probability. This is because the player gets more than one hand in Trade Up mode.

The following table is for 8-6 Jacks or Better. The lower right cell shows a return of 100.36%.

8-6 Jacks or BetterExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 493,461,180 - 493,461,180 0.000025 0.019805
Straight flush 50 2,178,781,128 - 2,178,781,128 0.000109 0.005465
Four of a kind 25 29,171,436,156 59,738,764,800 88,910,200,956 0.004460 0.111510
Full house 8 203,760,920,844 85,712,140,800 289,473,061,644 0.014522 0.116177
Flush 6 219,546,510,552 - 219,546,510,552 0.011014 0.066085
Straight 4 223,901,471,868 - 223,901,471,868 0.011233 0.044930
Three of a kind 3 1,106,465,695,560 - 1,106,465,695,560 0.055509 0.166526
Three of a kind (Trade Up) 0 - 1,258,410,067,200 1,258,410,067,200 0.063131 0.000000
Two pair 2 2,576,909,843,424 - 2,576,909,843,424 0.129277 0.258554
Jacks or better 1 4,277,338,869,024 - 4,277,338,869,024 0.214583 0.214583
Nothing 0 10,872,305,235,624 - 10,872,305,235,624 0.545436 0.000000
Total 19,512,072,225,360 1,403,860,972,800 20,915,933,198,160 1.049300 1.003635


The following table is for 8-5 Jacks or Better. The lower right cell shows a return of 99.27%.

8-5 Jacks or BetterExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 496,224,876 - 496,224,876 0.000025 0.019915
Straight flush 50 2,146,096,656 - 2,146,096,656 0.000108 0.005383
Four of a kind 25 29,178,374,292 59,738,764,800 88,917,139,092 0.004461 0.111519
Full house 8 203,791,134,708 85,712,140,800 289,503,275,508 0.014524 0.116189
Flush 5 217,303,355,868 - 217,303,355,868 0.010902 0.054508
Straight 4 223,952,329,860 - 223,952,329,860 0.011235 0.044940
Three of a kind 3 1,106,760,055,500 - 1,106,760,055,500 0.055523 0.166570
Three of a kind (Trade Up) 0 - 1,258,410,067,200 1,258,410,067,200 0.063131 0.000000
Two pair 2 2,577,335,006,268 - 2,577,335,006,268 0.129298 0.258597
Jacks or better 1 4,287,052,708,344 - 4,287,052,708,344 0.215071 0.215071
Nothing 0 10,864,056,938,988 - 10,864,056,938,988 0.545022 0.000000
Total 19,512,072,225,360 1,403,860,972,800 20,915,933,198,160 1.049300 0.992692


The following table is for 7-5 Jacks or Better. The lower right cell shows a return of 97.82%.

7-5 Jacks or BetterExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 496,195,464 - 496,195,464 0.000025 0.019914
Straight flush 50 2,148,216,384 - 2,148,216,384 0.000108 0.005389
Four of a kind 25 29,163,381,396 59,738,764,800 88,902,146,196 0.004460 0.111500
Full house 7 203,735,394,324 85,712,140,800 289,447,535,124 0.014521 0.101646
Flush 5 217,345,878,912 - 217,345,878,912 0.010904 0.054518
Straight 4 224,882,540,088 - 224,882,540,088 0.011282 0.045127
Three of a kind 3 1,106,137,887,468 - 1,106,137,887,468 0.055492 0.166476
Three of a kind (Trade Up) 0 - 1,258,410,067,200 1,258,410,067,200 0.063131 0.000000
Two pair 2 2,576,458,033,308 - 2,576,458,033,308 0.129254 0.258509
Jacks or better 1 4,287,450,841,560 - 4,287,450,841,560 0.215091 0.215091
Nothing 0 10,864,253,856,456 - 10,864,253,856,456 0.545032 0.000000
Total 19,512,072,225,360 1,403,860,972,800 20,915,933,198,160 1.049300 0.978170


The following table is for 6-5 Jacks or Better. The lower right cell shows a return of 96.36%.

6-5 Jacks or BetterExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 496,188,240 - 496,188,240 0.000025 0.019914
Straight flush 50 2,152,883,604 - 2,152,883,604 0.000108 0.005400
Four of a kind 25 29,162,699,244 59,738,764,800 88,901,464,044 0.004460 0.111499
Full house 6 203,730,555,276 85,712,140,800 289,442,696,076 0.014521 0.087124
Flush 5 217,494,726,336 - 217,494,726,336 0.010911 0.054556
Straight 4 224,915,292,156 - 224,915,292,156 0.011283 0.045134
Three of a kind 3 1,106,096,607,468 - 1,106,096,607,468 0.055490 0.166470
Three of a kind (Trade Up) 0 - 1,258,410,067,200 1,258,410,067,200 0.063131 0.000000
Two pair 2 2,576,379,215,340 - 2,576,379,215,340 0.129250 0.258501
Jacks or better 1 4,286,678,700,708 - 4,286,678,700,708 0.215052 0.215052
Nothing 0 10,864,965,356,988 - 10,864,965,356,988 0.545068 0.000000
Total 19,512,072,225,360 1,403,860,972,800 20,915,933,198,160 1.049300 0.963650


Bonus Poker Deluxe



Bonus Poker Deluxe is available in both 3-play and 5-play. The player will get twice as many hands as the initial hand in Trade Up mode.

The following table is for 8-5 Bonus Poker Deluxe. The lower right cell shows a return of 99.94%.

8-5 Bonus Poker DeluxeExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 491,855,652 - 491,855,652 0.000025 0.019740
Straight flush 50 2,154,130,740 - 2,154,130,740 0.000108 0.005403
Four of a kind 80 29,084,158,884 35,843,258,880 64,927,417,764 0.003257 0.260580
Full house 8 203,176,922,436 51,427,284,480 254,604,206,916 0.012773 0.102183
Flush 5 216,493,699,248 - 216,493,699,248 0.010861 0.054305
Straight 4 260,258,167,080 - 260,258,167,080 0.013056 0.052226
Three of a kind 3 1,097,720,927,904 - 1,097,720,927,904 0.055070 0.165210
Three of a kind (Trade Up) 0 - - - 0.000000 0.000000
Two pair 1 2,556,435,840,408 - 2,556,435,840,408 0.128250 0.128250
Jacks or better 1 4,216,703,051,664 - 4,216,703,051,664 0.211541 0.211541
Nothing 0 10,929,553,471,344 - 10,929,553,471,344 0.548308 0.000000
Total 19,512,072,225,360 87,270,543,360 19,599,342,768,720 0.983250 0.999438


The following table is for 7-5 Bonus Poker Deluxe. The lower right cell shows a return of 98.76%.

7-5 Bonus Poker DeluxeExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 491,854,620 - 491,854,620 0.000025 0.019740
Straight flush 50 2,154,468,204 - 2,154,468,204 0.000108 0.005404
Four of a kind 80 29,084,105,220 38,287,117,440 67,371,222,660 0.003380 0.270388
Full house 7 174,461,287,140 54,986,817,600 229,448,104,740 0.011511 0.080576
Flush 5 216,500,514,576 - 216,500,514,576 0.010861 0.054306
Straight 4 260,261,261,016 - 260,261,261,016 0.013057 0.052227
Three of a kind 3 1,097,718,227,160 - 1,097,718,227,160 0.055070 0.165209
Three of a kind (Trade Up) 0 - 403,236,662,400 403,236,662,400 0.020229 0.000000
Two pair 1 2,556,431,280,000 - 2,556,431,280,000 0.128250 0.128250
Jacks or better 1 4,216,659,716,952 - 4,216,659,716,952 0.211539 0.211539
Nothing 0 10,929,594,172,392 - 10,929,594,172,392 0.548310 0.000000
Total 19,483,356,887,280 496,510,597,440 19,979,867,484,720 1.002340 0.987639


The following table is for 6-5 Bonus Poker Deluxe. The lower right cell shows a return of 97.80%.

6-5 Bonus Poker DeluxeExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 491,854,620 - 491,854,620 0.000025 0.019740
Straight flush 50 2,154,468,204 - 2,154,468,204 0.000108 0.005404
Four of a kind 80 30,500,153,700 38,287,117,440 68,787,271,140 0.003451 0.276071
Full house 6 136,353,849,156 54,986,817,600 191,340,666,756 0.009599 0.057594
Flush 5 216,500,514,576 - 216,500,514,576 0.010861 0.054306
Straight 4 260,261,261,016 - 260,261,261,016 0.013057 0.052227
Three of a kind 3 1,155,996,489,048 - 1,155,996,489,048 0.057993 0.173980
Three of a kind (Trade Up) 0 - 403,236,662,400 403,236,662,400 0.020229 0.000000
Two pair 1 2,172,335,996,736 - 2,172,335,996,736 0.108981 0.108981
Jacks or better 1 4,579,168,127,832 - 4,579,168,127,832 0.229725 0.229725
Nothing 0 10,929,594,172,392 - 10,929,594,172,392 0.548310 0.000000
Total 19,483,356,887,280 496,510,597,440 19,979,867,484,720 1.002340 0.978029


The following table is for 5-5 Bonus Poker Deluxe. The lower right cell shows a return of 96.84%.

5-5 Bonus Poker DeluxeExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 491,934,084 - 491,934,084 0.000025 0.019743
Straight flush 50 2,157,272,148 - 2,157,272,148 0.000108 0.005411
Four of a kind 80 30,499,751,220 38,287,117,440 68,786,868,660 0.003451 0.276069
Full house 5 136,351,620,036 54,986,817,600 191,338,437,636 0.009599 0.047995
Flush 5 216,562,755,528 - 216,562,755,528 0.010864 0.054322
Straight 4 260,293,537,848 - 260,293,537,848 0.013058 0.052233
Three of a kind 3 1,155,976,233,468 - 1,155,976,233,468 0.057992 0.173977
Three of a kind (Trade Up) 0 - 403,236,662,400 403,236,662,400 0.020229 0.000000
Two pair 1 2,172,301,793,676 - 2,172,301,793,676 0.108979 0.108979
Jacks or better 1 4,578,663,301,812 - 4,578,663,301,812 0.229700 0.229700
Nothing 0 10,930,058,687,460 - 10,930,058,687,460 0.548334 0.000000
Total 19,483,356,887,280 496,510,597,440 19,979,867,484,720 1.002340 0.968430


Bonus Poker



The Bonus Poker games are available in 3-play mode only. In Trade Up mode, the player receives ten hands. Unlike my return tables for other video poker games, this one shows the expected number per initial hand, as opposed to the probability. This is because the player gets more than one hand in Trade Up mode.

The following table is for 6-5 Bonus Poker. The lower right cell shows a return of 99.95%.

6-5 Bonus PokerExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 495,407,532 - 495,407,532 0.000025 0.019883
Straight flush 50 2,145,558,468 - 2,145,558,468 0.000108 0.005382
Four aces 80 2,524,124,940 4,908,604,800 7,432,729,740 0.000373 0.029831
Four 2-4 40 6,374,071,632 14,725,814,400 21,099,886,032 0.001059 0.042341
Four 5-K 25 20,265,272,544 41,357,606,400 61,622,878,944 0.003091 0.077287
Full house 6 194,899,487,724 87,537,542,400 282,437,030,124 0.014169 0.085015
Flush 5 217,263,418,500 - 217,263,418,500 0.010900 0.054498
Straight 4 224,745,710,304 - 224,745,710,304 0.011275 0.045100
Three of a kind 3 1,106,136,382,296 - 1,106,136,382,296 0.055492 0.166476
Three of a kind (Trade Up) 0 - 1,284,783,033,600 1,284,783,033,600 0.064454 0.000000
Two pair 2 2,576,447,728,272 - 2,576,447,728,272 0.129254 0.258508
Jacks or better 1 4,289,149,331,928 - 4,289,149,331,928 0.215176 0.215176
Nothing 0 10,862,790,242,580 - 10,862,790,242,580 0.544959 0.000000
Total 19,503,236,736,720 1,433,312,601,600 20,936,549,338,320 1.050334 0.999495


The following table is for 5-5 Bonus Poker. The lower right cell shows a return of 98.53%.

5-5 Bonus PokerExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 495,392,568 - 495,392,568 0.000025 0.019882
Straight flush 50 2,150,810,832 - 2,150,810,832 0.000108 0.005395
Four aces 80 2,523,710,592 4,908,604,800 7,432,315,392 0.000373 0.029829
Four 2-4 40 6,374,040,156 14,725,814,400 21,099,854,556 0.001059 0.042341
Four 5-K 25 20,264,917,536 41,357,606,400 61,622,523,936 0.003091 0.077286
Full house 5 194,894,973,756 87,537,542,400 282,432,516,156 0.014169 0.070845
Flush 5 217,369,629,360 - 217,369,629,360 0.010905 0.054524
Straight 4 224,803,332,024 - 224,803,332,024 0.011278 0.045111
Three of a kind 3 1,106,095,564,116 - 1,106,095,564,116 0.055490 0.166470
Three of a kind (Trade Up) 0 - 1,284,783,033,600 1,284,783,033,600 0.064454 0.000000
Two pair 2 2,576,378,128,644 - 2,576,378,128,644 0.129250 0.258501
Jacks or better 1 4,288,467,033,900 - 4,288,467,033,900 0.215142 0.215142
Nothing 0 10,863,419,203,236 - 10,863,419,203,236 0.544990 0.000000
Total 19,503,236,736,720 1,433,312,601,600 20,936,549,338,320 1.050334 0.985326


Double Bonus



Double Bonus is available in both 3-play and 5-play. The player will get twice as many hands as the initial hand in Trade Up mode.

The following table is for 9-6-5 Double Bonus. The lower right cell shows a return of 100.34%.

9-6-5 Double BonusExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 484,224,528 - 484,224,528 0.000024 0.019434
Straight flush 50 2,147,134,296 - 2,147,134,296 0.000108 0.005386
Four aces 160 2,994,244,800 2,945,162,880 5,939,407,680 0.000298 0.047674
Four 2-4 80 6,321,289,476 8,271,521,280 14,592,810,756 0.000732 0.058567
Four 5-K 55 19,919,746,044 24,814,563,840 44,734,309,884 0.002244 0.123431
Full house 9 188,787,558,096 51,701,094,720 240,488,652,816 0.012065 0.108582
Flush 6 220,658,414,196 - 220,658,414,196 0.011070 0.066419
Straight 5 308,702,020,056 - 308,702,020,056 0.015487 0.077434
Three of a kind 3 1,098,111,303,576 - 1,098,111,303,576 0.055089 0.165268
Three of a kind (Trade Up) 0 - 379,500,992,640 379,500,992,640 0.019039 0.000000
Two pair 1 2,414,641,275,720 - 2,414,641,275,720 0.121136 0.121136
Jacks or better 1 4,186,850,723,064 - 4,186,850,723,064 0.210044 0.210044
Nothing 0 11,060,245,419,348 - 11,060,245,419,348 0.554865 0.000000
Total 19,509,863,353,200 467,233,335,360 19,977,096,688,560 1.002201 1.003377


The following table is for 9-6-4 Double Bonus. The lower right cell shows a return of 98.91%.

9-6-4 Double BonusExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 486,385,020 - 486,385,020 0.000024 0.019521
Straight flush 50 2,186,439,564 - 2,186,439,564 0.000110 0.005484
Four aces 160 3,048,479,496 2,945,162,880 5,993,642,376 0.000301 0.048110
Four 2-4 80 6,371,692,872 8,271,521,280 14,643,214,152 0.000735 0.058769
Four 5-K 55 20,157,328,440 24,814,563,840 44,971,892,280 0.002256 0.124087
Full house 9 190,353,598,488 51,701,094,720 242,054,693,208 0.012143 0.109289
Flush 6 224,107,007,316 - 224,107,007,316 0.011243 0.067457
Straight 4 254,796,344,232 - 254,796,344,232 0.012782 0.051130
Three of a kind 3 1,117,657,030,632 - 1,117,657,030,632 0.056070 0.168210
Three of a kind (Trade Up) 0 - 379,500,992,640 379,500,992,640 0.019039 0.000000
Two pair 1 2,450,691,904,680 - 2,450,691,904,680 0.122945 0.122945
Jacks or better 1 4,268,140,328,484 - 4,268,140,328,484 0.214122 0.214122
Nothing 0 10,971,866,813,976 - 10,971,866,813,976 0.550431 0.000000
Total 19,509,863,353,200 467,233,335,360 19,977,096,688,560 1.002201 0.989125


The following table is for 9-5-4 Double Bonus. The lower right cell shows a return of 97.81%.

9-5-4 Double BonusExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 493,920,168 - 493,920,168 0.000025 0.019823
Straight flush 50 2,148,246,792 - 2,148,246,792 0.000108 0.005389
Four aces 160 3,024,807,996 2,945,162,880 5,969,970,876 0.000299 0.047920
Four 2-4 80 6,370,661,904 8,271,521,280 14,642,183,184 0.000735 0.058765
Four 5-K 55 20,189,794,128 24,814,563,840 45,004,357,968 0.002258 0.124177
Full house 9 190,372,290,588 51,701,094,720 242,073,385,308 0.012144 0.109298
Flush 5 217,741,065,780 - 217,741,065,780 0.010924 0.054618
Straight 4 259,115,240,496 - 259,115,240,496 0.012999 0.051997
Three of a kind 3 1,117,641,086,232 - 1,117,641,086,232 0.056069 0.168208
Three of a kind (Trade Up) 0 - 379,500,992,640 379,500,992,640 0.019039 0.000000
Two pair 1 2,450,131,698,960 - 2,450,131,698,960 0.122917 0.122917
Jacks or better 1 4,285,822,773,348 - 4,285,822,773,348 0.215009 0.215009
Nothing 0 10,956,811,766,808 - 10,956,811,766,808 0.549676 0.000000
Total 19,509,863,353,200 467,233,335,360 19,977,096,688,560 1.002201 0.978119


The following table is for 8-5-4 Double Bonus. The lower right cell shows a return of 96.60%.

8-5-4 Double BonusExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 493,920,168 - 493,920,168 0.000025 0.019823
Straight flush 50 2,148,246,792 - 2,148,246,792 0.000108 0.005389
Four aces 160 3,024,807,996 2,945,162,880 5,969,970,876 0.000299 0.047920
Four 2-4 80 6,370,661,904 8,271,521,280 14,642,183,184 0.000735 0.058765
Four 5-K 55 20,189,794,128 24,814,563,840 45,004,357,968 0.002258 0.124177
Full house 8 190,372,290,588 51,701,094,720 242,073,385,308 0.012144 0.097154
Flush 5 217,741,065,780 - 217,741,065,780 0.010924 0.054618
Straight 4 259,115,240,496 - 259,115,240,496 0.012999 0.051997
Three of a kind 3 1,117,641,086,232 - 1,117,641,086,232 0.056069 0.168208
Three of a kind (Trade Up) 0 - 379,500,992,640 379,500,992,640 0.019039 0.000000
Two pair 1 2,450,131,698,960 - 2,450,131,698,960 0.122917 0.122917
Jacks or better 1 4,285,822,773,348 - 4,285,822,773,348 0.215009 0.215009
Nothing 0 10,956,811,766,808 - 10,956,811,766,808 0.549676 0.000000
Total 19,509,863,353,200 467,233,335,360 19,977,096,688,560 1.002201 0.965974


Double Double Bonus



Double Double Bonus is available in both 3-play and 5-play. The player will get twice as many hands as the initial hand in Trade Up mode.

The following table is for 8-5 Double Double Bonus. The lower right cell shows a return of 100.10%.

8-5 Double Double BonusExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 497,521,332 - 497,521,332 0.000025 0.019968
Straight flush 50 2,129,333,328 - 2,129,333,328 0.000107 0.005341
Four aces + 2-4 400 859,451,196 736,290,720 1,595,741,916 0.000080 0.032022
Four 2-4 + A-4 160 1,820,395,320 2,208,872,160 4,029,267,480 0.000202 0.032342
Four aces + 5-K 160 2,353,272,132 2,208,872,160 4,562,144,292 0.000229 0.036619
Four 2-4 + 5-K 80 4,561,032,408 6,626,616,480 11,187,648,888 0.000561 0.044900
Four 5-K 55 20,129,566,608 24,814,563,840 44,944,130,448 0.002255 0.124010
Full house 8 184,153,236,192 52,522,525,440 236,675,761,632 0.011873 0.094987
Flush 5 218,903,964,660 - 218,903,964,660 0.010982 0.054909
Straight 4 258,111,747,948 - 258,111,747,948 0.012949 0.051795
Three of a kind 3 1,122,181,462,080 - 1,122,181,462,080 0.056297 0.168891
Three of a kind (Trade Up) 0 - 770,869,820,160 770,869,820,160 0.038673 0.000000
Two pair 1 2,454,614,886,528 - 2,454,614,886,528 0.123142 0.123142
Jacks or better 1 4,227,611,764,320 - 4,227,611,764,320 0.212089 0.212089
Nothing 0 11,005,309,102,668 - 11,005,309,102,668 0.552109 0.000000
Total 19,503,236,736,720 859,987,560,960 20,363,224,297,680 1.021572 1.001016


The following table is for 7-5 Double Double Bonus. The lower right cell shows a return of 98.91%.

7-5 Double Double BonusExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 497,448,060 - 497,448,060 0.000025 0.019965
Straight flush 50 2,135,105,304 - 2,135,105,304 0.000107 0.005356
Four aces + 2-4 400 858,651,396 736,290,720 1,594,942,116 0.000080 0.032006
Four 2-4 + A-4 160 1,820,254,968 2,208,872,160 4,029,127,128 0.000202 0.032341
Four aces + 5-K 160 2,350,847,964 2,208,872,160 4,559,720,124 0.000229 0.036600
Four 2-4 + 5-K 80 4,561,032,408 6,626,616,480 11,187,648,888 0.000561 0.044900
Four 5-K 55 20,130,346,800 24,814,563,840 44,944,910,640 0.002255 0.124013
Full house 7 184,143,168,000 52,522,525,440 236,665,693,440 0.011873 0.083110
Flush 5 219,001,455,636 - 219,001,455,636 0.010987 0.054934
Straight 4 258,239,515,740 - 258,239,515,740 0.012955 0.051821
Three of a kind 3 1,122,079,208,424 - 1,122,079,208,424 0.056292 0.168876
Three of a kind (Trade Up) 0 - 770,869,820,160 770,869,820,160 0.038673 0.000000
Two pair 1 2,454,478,678,008 - 2,454,478,678,008 0.123135 0.123135
Jacks or better 1 4,227,589,470,024 - 4,227,589,470,024 0.212088 0.212088
Nothing 0 11,005,351,553,988 - 11,005,351,553,988 0.552111 0.000000
Total 19,503,236,736,720 859,987,560,960 20,363,224,297,680 1.021572 0.989143


The following table is for 6-5 Double Double Bonus. The lower right cell shows a return of 97.74%.

6-5 Double Double BonusExpand

Hand Payoff Normal Trade Up Total Expected
Number
Return
Royal flush 800 497,407,812 - 497,407,812 0.000025 0.019963
Straight flush 50 2,139,977,376 - 2,139,977,376 0.000107 0.005368
Four aces + 2-4 400 857,421,252 736,290,720 1,593,711,972 0.000080 0.031981
Four 2-4 + A-4 160 1,820,009,352 2,208,872,160 4,028,881,512 0.000202 0.032339
Four aces + 5-K 160 2,347,264,860 2,208,872,160 4,556,137,020 0.000229 0.036571
Four 2-4 + 5-K 80 4,561,032,408 6,626,616,480 11,187,648,888 0.000561 0.044900
Four 5-K 55 21,143,201,136 24,814,563,840 45,957,764,976 0.002306 0.126807
Full house 6 156,910,250,448 52,522,525,440 209,432,775,888 0.010507 0.063040
Flush 5 219,097,893,972 - 219,097,893,972 0.010992 0.054958
Straight 4 258,390,466,380 - 258,390,466,380 0.012963 0.051851
Three of a kind 3 1,163,567,767,368 - 1,163,567,767,368 0.058373 0.175120
Three of a kind (Trade Up) 0 - 770,869,820,160 770,869,820,160 0.038673 0.000000
Two pair 1 2,179,950,661,368 - 2,179,950,661,368 0.109363 0.109363
Jacks or better 1 4,486,936,055,616 - 4,486,936,055,616 0.225098 0.225098
Nothing 0 11,005,017,327,372 - 11,005,017,327,372 0.552094 0.000000
Total 19,503,236,736,720 859,987,560,960 20,363,224,297,680 1.021572 0.977360


Summary



The following table summarizes the return for each game and pay table.

Trade Up Poker Summary

Game Pay Table Return
Bonus Poker 6-5 99.95%
Bonus Poker 5-5 98.53%
Bonus Poker Deluxe 8-5 99.94%
Bonus Poker Deluxe 7-5 98.76%
Bonus Poker Deluxe 6-5 97.80%
Bonus Poker Deluxe 5-5 96.84%
Double Bonus 9-6-5 100.34%
Double Bonus 9-6-4 98.91%
Double Bonus 9-5-4 97.81%
Double Bonus 8-5-4 96.60%
Double Double Bonus 8-5 100.10%
Double Double Bonus 7-5 98.91%
Double Double Bonus 6-5 97.74%
Jacks or Better 8-6 100.36%
Jacks or Better 8-5 99.27%
Jacks or Better 7-5 97.82%
Jacks or Better 6-5 96.36%


Correction



Prior to May 2015, I incorrectly stated that the remaining cards in Trade Up hands included the two cards the player discarded other than the Three of a Kind. I would later learn they are removed from the Trade Up decks. This rule change affected all the return tables, which have been corrected and checked against the IGT returns linked below.

External Links



IGT Marketing literature for Trade Up Poker.

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