That is a lot! Suppose your goal is to simply come out ahead with a 90% probability. I’ll skip over the rest of the math to the answer, which is 42,383,720 hands. The standard deviation of the sample mean is 5.08/sqr(n), where n is the number of hands.
#PROBABILITY POKER DICE TWO PAIR FULL#
The standard deviation of full pay deuces wild is 5.08. Perhaps a better question is how many hands would I have to play to have a 90% probability of getting to 100.66%? Although the more you play the closer your return will get to 100.76% about half the time it will be above and half the time it will be below. There is no number that will give you a 90% probability of attaining or exceeding that percentage. So in that situation the player should be mindful of the effect of penalty cards." If the player had just one suited card, or any card that could be used to complete a straight, then the odds of forming a flush or straight would be depressed, lowering the overall expected return below that of discarding everything. However this is only marginally better than discarding everything. For example if the player had a suited 10 and king, with no other cards of that suit, nor a 9, jack, queen, or ace, then the player should keep the two to a royal flush. By discarding it the players odds of forming a flush are "penalized." Sometimes penalty cards can affect borderline plays. The discarded suited card would be called a flush penalty card because it could have been used to complete a flush. For example if the player had 3 to a royal and 4 to a flush the correct play is to keep three to the royal, discarding the fourth suited card.
However for those who must play near perfectly here is my explanation, "A penalty card is a potentially useful discarded card. In my opinion beginning players should not use a strategy that considers penalty cards.
I just rewrote my explanation of penalty cards. Pros and Cons of Using Double up Option in Playing Video Poker Online.Ultimate X Poker Bonus Streak - Example.My Methodology for Video Poker Analysis.
Frequently Asked Questions - Video Poker Strategy Calculator.Effect of Strategy Mismatches in Video Poker.Standard Deviation for Multihand Video Poker.Simulation Results of n-Play Video Poker.Similarly, play also has a result object, set to verbose=False and access the coin per round. This could be used to programatically make incrmental improvements to a bot. FIVE_OF_A_KIND: OutcomeCount( worse_rank = 0.0, worse = 0.0, same = 1.0, better = 0.0, better_rank = 0.0) FULL_HOUSE: OutcomeCount( worse_rank = 0.0, worse = 0.0, same = 1.0, better = 0.0, better_rank = 0.0), STRAIGHT: OutcomeCount( worse_rank = 0.0, worse = 0.0, same = 1.0, better = 0.0, better_rank = 0.0), THREE_OF_A_KIND: OutcomeCount( worse_rank = 0.0, worse = 0.0, same = 1.0, better = 0.0, better_rank = 0.0), TWO_PAIRS: OutcomeCount( worse_rank = 0.0, worse = 0.0, same = 1.0, better = 0.0, better_rank = 0.0), The function choose_dice_to_reroll is what controls the bot's decision on what to reroll. The value under > is what percentage of the time the bot's choice ended up in a better hand than 4-of-a-kind (i.e. The value under is what percentage of the time the bot's choice ended up staying 4-of-a-kind, but better, such as 3, 3, 3, 3, 5, turning into 4, 4, 4, 4, 5, or 3, 3, 3, 3, 6.
For example, FOUR_OF_A_KIND means this row corresponds to when the bot was tested against a hand such as 3, 3, 3, 3, 5. The first column shows what hand the bot was delt. The bot is tested against all the posssible types of hand many times.
#PROBABILITY POKER DICE TWO PAIR CODE#
This code runs test on the bot to make sure it's working, and prints a table of its performance.
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