All possible resulting hands and pays for a hold of just the ace of hearts must be calculated. The same must then be done for a save of just the 3 of spades, the 4 of hearts, the 5 of clubs, and the king of diamonds. Then the same must be done for each possible hold of two cards. Then the same is done for holds of three cards. The same is done for holds of four cards. Finally the return for a hold of all five cards is calculated. The returns are then compared in order to select the best possible hold (in terms of money returned). The results for each of the over two and a half million possible hands are summarized in order to develop the strategy.

As you learned in chapter one, this game and others that followed were developed to satisfy the gambling public’s quest for larger jackpots. Jacks or Better has only the royal flush as a true jackpot. In that game any four of a kind pays enough for you to play 25 additional hands so they are not really jackpots, although it really helps out. Bonus Poker on the other hand pays 80 for one for four aces. On a quarter machine this amounts to $100 with five credits played. While this is not a huge jackpot, it is enough to make you feel like you have won something substantial and you may even decide to stop playing at that point with what you consider a nice win for the session. Also, where the royal flush happens only once every 40,000 hands or so, four aces will occur roughly once every 5,100 hands, which is eight times as often. Playing at a rate of 500 hands per hour, the Bonus Poker player will get four aces once every 10 hours of play, on average.


Video poker is a very volatile game, about four times as much as blackjack. In any form of gambling, short-term results mostly depend on normal mathematical randomness (what some might call luck). However, in the long run, results mostly depend on skill. If you play a game with a return of 100.76% perfectly, that does not mean that you will have a 0.76% profit every time you play. The 100.76% is an EXPECTED return. Much in the same way, if you flip a coin ten million times, the expected number of tails will be five million, but it is unlikely you will hit five million on the nose. Actual results will vary significantly from expectations, but the more you play, the closer your actual return percentage will get to the expected return.
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