I recently put together a simple VP simulator to look a various
scenarios and provide information about those scenarios. For example,
the following scenario evaluates 9-5 DDB. It simulates 10-10,000 hand
sessions and provides statistics for the run. It then runs that
scenario 100 times to simulate 100 different people trying this
scenario. The last two lines relate to this exercise.
···
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seed = 2334555
9-5DDB 0.978639
Hands/session = 10000 with 1 total royals and 40% session wins
Total wagered = 500000 for payback of 98.238 (-881/session)
Average bet = 5, CB per session at .2% = 100
Exceeded expection 51 times and 100% 15 times
Highest payback = 103.303, lowest payback = 93.022
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One interesting fact from this simulation is that 15% of the
simulations actually produced over 100% payback. This clearly
demonstrates how a higher variance game can broaden the bell curve.
Since 10 sessions could represent 5 years of play for a twice-a-year
gambler it's not hard to imagine someone thinking AP was unnecessary.
On the other hand what follows is the same number of hands for FPDW.
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seed = 2334555
FPDW 1.00762
Hands/session = 10000 with 1 total royals and 60% session wins
Total wagered = 500000 for payback of 101.072 (536/session)
Average bet = 5, CB per session at .2% = 100
Exceeded expection 45 times and 100% 67 times
Highest payback = 105.029, lowest payback = 96.863
---------------------------------------------------------------
In this case a full 33% of the players would not exceed 100% payback.
Once again, it's not too hard to imagine these players might think AP
was a bunch of crap.
Clearly, for players who play far more than 100K hands every month
this is not too meaningful. However, I thought it might be
interesting to many of us who never really looked at it this way.
Finally, if anyone has a scenario they'd like to see simulated or
additional output, I'd be happy to oblige if possible (I can't do it
for every game).
Dick