Video Poker Archive
The Sim Series
Part 2: Full-Pay Jacks or Better

Because most of our readers are "recreational" players and not full-time professionals, I thought it would be interesting to run a series of simulations on various Video Poker games to give you an idea of what may happen in a relatively small amount of play.

For each game covered, I ran 50 simulations of 7200 hands each with the idea that this might represent a year's worth of play for someone who plays eight to fourteen hours each week. If you play at a rate of 600 hands per hour, then this works out to be twelve hours of time on the machine, so one simulation may represent the total play on a weekend visit to Las Vegas, Biloxi, Atlantic City, etc.

Obviously, 50 simulations represent 360,000 hands of play and, if you are betting five quarters at a time, it amounts to $450,000 of total bets. If you're a dollar player, this would be an astonishing $1,800,000 of "action" which should qualify you for a lot of good comps at all but the stingiest of casinos.

As you'll see, a lot can happen to your bankroll in 7200 hands of play. Wild swings can and do occur but knowing that helps, I think, especially if you have any doubts about the "randomness" of a machine, be it in a brick-and-mortar casino, or in a cyber-casino.


The Methodology
All of these simulations were run in the Autoplay mode of WinPoker, version 6.0. The program does not keep track of the highs and lows reached during a simulation, so I had to "eyeball" that as it was running. But, for our purposes here, I believe the accuracy achieved is adequate. All I basically did was to run one 7200-hand simulation after another, record the highs, lows and final result and then compile them into the table you'll see below. I then extracted certain averages, streaks, etc. which I though might be helpful.

Several points to remember about these sims: First, WinPoker plays each hand 'perfectly' and we humans probably don't, so the results here are undoubtedly better than the average player will receive. Secondly, a total simulation of 360,000 hands at any Video Poker game is nowhere near "the long run". It's actually about 10% of "the long run" so it will be surprising to find that the total return for a simulation matches that of the paytable for the game covered.

B>ut, all-in-all, I think these sims have considerable practical use because they represent what may happen to any of us in a given number of hands at our favorite Video Poker game. Just remember: your mileage may vary.

The Games
This series will eventually cover the majority of all Video Poker games out there, such as Jacks or Better, Deuces Wild, Joker Poker, etc. which means this may go on for a long time. We'll cover "full-pay" versions, games with progressives and weird variations, if possible, so if there's a game which interests you, please e-mail me at aceten@stlnet.com and I'll try to do a sim on it.


Part 2: Full-Pay Jacks or Better

For many of us Video Poker fanatics, this was the first game we played. In its "full-pay" version, Jacks or Better offers the player a long-term return of 99.54% if the proper playing strategy is used. That obviously isn't 100% so a slot club cash rebate or other comps are needed to make this into a long-term winner. Fotunately, good Jacks games are fairly common both in brick-and-mortar casino as well as on the Internet and some have progressive Royals which add to the return.

The only problem is that the returns are never all that big with a Jacks game. For most of the time, you're losing and if you have a big gap between Royals, your pockets can get pretty empty. But, this is an easy game to learn and if you play the dollar versions at brick-and-mortar casinos, you'll get treated like royalty when it comes to comps. A good player can attack this game with extreme accuracy at a rate of 750 hands an hour which, at a dollar game, amounts to $3750 an hour of 'action'. That's easily the equivalent of a Blackjack player betting $50 a hand. So, if you're at that level of play and aren't eating for free, have a serious talk with the nearest slot host.

Simulation Recap
Number of hands played: 360,000
Total Loss: 5870 credits ($1467.50 in a $.25 game)
Expected Loss: 8210 credits ($2052.50 in a $.25 game)
Slot Club Cash Back ($.25 game): $1125 (0.25%)
$1485 (0.33%)
$1800 (0.40%)
$2250 (0.50%)
Note: The slot club cash back has not been subtracted from the "loss" amount.
Winning sessions: 16 Average win: +1868 credits
Losing sessions: 34 Average loss: -1051 credits
Biggest Win: +4525 credits (112.57% return)
Smallest Win: +210 credits
Biggest loss: -2490 credits (93.08% return)
Smallest loss: -85 credits
Royal Flushes received: 8 (Sessions marked with an "R")
Longest losing streak after a new high: -10465 credits (sessions 32-49)

Comments: The final result was a return of 99.67%, remarkably close to expectation. That underscores just how important the slot club cash rebate is to players of this game. The biggest win in any one session was 4525 credits or $1131.25 at a quarter game and the biggest session loss was over $600 which implies that a "trip" bankroll of about $1000 is needed if you'll be playing about 7200 hands of Jacks on that trip.

The bankroll needed to seriously go after this game is relatively large, because it's basically a long-term loser. With a 0.67% cash rebate, a bankroll of $16,715 is required in order to keep your "risk of ruin" at the 5% level and that's at a quarter game! (Thanks to TomSki for that calculation.) The only time most pros play this game is when there is a large progressive Royal available and that's probably a good strategy for you as well.

The Simulation Sessions
(all figures are in credits or coins)
Session High Point Low Point End Result % Return Cum. Result
1. 0 -1100 -1060 97.06% -1060
2. +675 -50 +440 101.22% -620
3. +205 -1125 -600 98.30% -1220
4. 0 -1865 -1730 95.19% -2950
5. +235 -1425 -1425 96.04% -4375
6. +130 -1640 -1200 96.67% -5575
7. +340 -1630 -1420 96.06% -6995
8. +680 -615 +210 100.58% -6785
9. +35 -2375 -2135 94.07% -8920
10. +385 -765 -85 99.76% -9005
11. (R) +4425 -30 +2835 107.88% -6170
12. (R) +3115 -1035 +2670 107.42% -3500
13. +620 -675 -675 98.13% -4175
14. +60 -1075 -990 97.25% -5165
15. (R) +1695 -2570 +1495 104.15% -3670
16. +235 -1585 -1165 96.74% -4835
17. (R) +4085 -470 +3605 110.01% -1230
18. +255 -2010 -1860 94.83% -3090
19. +55 -1895 -1630 95.83% -4590
20. 0 -1840 -1630 95.47% -6220
21. (R) +4310 -275 +4195 111.65% -2025
22. +75 -995 -730 97.97% -2755
23. +1200 -265 +945 102.63% -1810
24. +255 -855 -855 97.63% -2665
25. +1130 -300 +210 100.58% -2455
26. (R) +4840 -250 +4525 111.57% +2070
27. +20 -1865 -1840 94.89% +230
28. +435 -610 -610 98.31% -380
29. 0 -1250 -1075 97.01% -1455
30. +1125 -475 +730 102.03% -725
31. +385 -1380 -1235 96.57% -1960
32. (R) +4405 -135 +3775 110.43% +1815
33. +555 -940 -750 97.92% +1065
34. +260 -675 -230 99.36% +835
35. +540 -830 -405 98.88% +430
36. +60 -1340 -745 97.93% -315
37. +85 -705 -310 99.14% -625
38. +1510 -170 +390 101.08% -235
39. (R) +3860 -140 +2270 106.31% +2035
40. +280 -320 -320 99.11% +1715
41. +100 -1260 -1185 96.71% +530
42. +345 -1335 -900 97.50% -370
43. 0 -2490 -2490 93.08% -2860
44. +385 -1175 -1140 96.83% -4000
45. +55 -1235 -170 99.53% -4170
46. +135 -1220 -1180 96.72% -5370
47. +675 -315 +670 101.86% -4700
48. +265 -835 -450 98.75% -5150
49. +5 -1640 -1640 95.49% -6790
50. +1165 -130 +920 102.56% -5870

See you here next time.




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