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The Sim Series
Part 1: Pick 'em Poker

The Sim Series
Sim Series Part 1: Pick 'Em Poker
Sim Series Part 2: Full Pay Jacks or Better
Sim Series Part 3: Full Pay Double Bonus
Sim Series Part 4: Full-Pay Deuces Wild
Sim Series Part 5: "Illinois" Deuces Wild
Sim Series Part 6: Fortified Jacks: Cryptologic's Double Bonus Poker
Sim Series Part 7: Loose Duces


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.


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 1: Pick 'Em Poker

Usually found on Bally "GameMaker" machines, this is a game with a decent return for perfect play (99.95%) though a slot club cash rebate program or other comps are needed to get the total return over 100%. Since the Royal Flush is a rare event in this game (1 every 351,817 hands, on average), it adds only 0.34% to the total return so, as you'll see, it's possible to get ahead and stay there for quite some time.

The big drawback to Pick 'Em Poker is best described by its nickname: "Snooze 'Em". This is one booooorrrring game! Once you learn the rather simple strategy, the challenge is gone and you just sit there and push one button or the other. Of course, that also allows for considerable speed at the game, so a good player should have no problem getting up to a rate of 1000 hands per hour.

Simulation Recap
Number of hands played: 360,000
Total win/loss: +21445 credits ($5361.25 in a $.25 game)
Expected Win or Loss: -225 credits (-$56.25 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 added to the "win" amount.
Winning sessions: 33 Average win: +1251 credits
Losing sessions: 17 Average loss: -1169 credits
Biggest Win: +3870 credits (110.75% return)
Smallest Win: +45 credits
Biggest loss: -2970 credits (92.25% return)
Smallest loss: -10 credits
Royal Flushes received: 1 (Session # 36 at about the 262,000th hand)
Longest losing streak after a new high: -9200 credits (sessions 42-49)

Comments: As you'll see below, I got ahead in this game early on and basically never looked back. The cumulative return for the sim was 101.2% and that's not out of the realm of possibility, though the "expectation" was to lose about 225 credits ($56.25 in a quarter game). I just put it down to leading a clean life. The biggest win of 3870 credits is equal to $967.50 in a quarter game which is a good weekend's profit and the biggest loss shows us that about $1000 is needed as a "trip" bankroll.

The biggest losing streak seems to imply that about $3000 is needed to attack this game on a long-term basis, but remember that Pick 'Em Poker is a long-term loser without a slot club cash rebate. If you play it long enough without any other form of compensation, you'll eventually lose all the $$$ you care to commit to the effort.

With a 0.50% slot club cash-back program, a total bankroll of $3518 is needed to keep your "risk of ruin" at the 5% level. (Thanks to TomSki for that calculation).

This game pays 1199 for 5 for a Straight Flush so sometimes a session would show a win of 1999 credits or something similar, but I just did some judicious rounding to keep everything in units of 5.

The Simulation Sessions
(all figures are in credits or coins)
Session High Point Low Point End Result % Return Cum. Result
1. +1250 -360 -10 99.97% -10
2. +1150 -500 +315 100.88% +305
3. + 785 -740 +420 101.17% +725
4. +1385 -345 -205 99.43% +520
5. +720 -1160 -375 98.96% +145
6. +1685 -850 +1165 103.24% +1310
7. +1905 -1195 +1875 105.21% +3185
8. +615 -785 -170 99.53% +3015
9. +1825 -145 +1500 104.17% +4515
10. +490 -1270 -1270 96.47% +3245
11. +2655 0 +1615 104.49% +4860
12. +635 -705 +445 101.24% +5305
13. +1085 -990 +440 101.22% +5745
14. +2320 -1000 +1825 105.07% +7570
15. +665 -1415 -175 99.51% +7395
16. +2435 -40 +2055 105.17% +9450
17. +1810 -1290 +1255 103.48% +10705
18. +1065 -395 +590 101.64% +11295
19. +1835 -75 +1730 104.81% +13025
20. +4385 -125 +3870 110.75% +16895
21. +690 -535 +310 100.86% +17205
22. +2295 0 +600 101.66% +17805
23. +595 -705 +485 101.35% +18290
24. 0 -2385 -395 98.90% +17895
25. +1210 -250 +45 100.13% +17940
26. +65 -1565 -1315 96.35% +16625
27. +1840 -820 +555 101.54% +17180
28. +3935 -135 +3550 109.86% +20730
29. +30 -3525 -3105 91.38% +17625
30. +1990 -250 +880 102.41% +18505
31. +1900 -810 +1285 103.57% +19790
32. +65 -1680 -1680 95.33% +18110
33. +685 -1380 +620 101.72% +18730
34. +2265 -165 +130 100.36% +18860
35. 0 -1185 -315 99.13% +18545
36. +4990 -1390 +3560 109.89% +22105
37. +1490 -1095 +930 102.58% +23035
38. +3055 -115 +2875 102.99% +25910
39. +1205 -590 +375 101.04% +26285
40. +1800 -650 +1675 104.65% +27970
41. +2145 -1125 +1820 105.06% +29790
42. +10 -1935 -1855 94.85% +27935
43. 0 -1965 -1325 96.32% +26610
44. 0 -2990 -2790 92.25% +23820
45. +2180 -615 +1265 103.51% +25085
46. +60 -2080 -1990 94.47% +23095
47. +25 -1780 -1465 95.93% +21630
48. +905 -1415 +385 101.07% +22015
49. +490 -1630 -1425 96.04% +20590
50. +1350 -355 +855 102.35% +21445

See you here next time.




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