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Now suppose that we have just tossed four heads in a row. A believer in the gambler's fallacy might say, "If the next coin flipped were to come up heads, it would generate a run of five successive heads. The probability of a run of five successive heads is 0.55 = 0.03125; therefore, the next coin flipped only has a 1 in 32 chance of coming up heads." A random event is less likely to occur because it has not happened for a period of time; Tri Card Poker When the probability of different events is not independent, the probability of future events can change based on the outcome of past events. An example of this is cards drawn without replacement. It's true that once a jack is removed from the deck, the next draw is less likely to be a jack and more likely to be of another rank. Any player may "go bank," the first claim to do so belonging to the punter immediately on the right of the banker; the next to the player on his left, and so on alternatively in regular order. If two players on opposite sides desire to "go bank," they go half shares. Some common rules variations include: Slot machine Original Story [edit] They anticipate losing when they sit down and I try my darnedest not to disappoint one of them. - Amarillo Slim The gambler's fallacy can be illustrated by considering the repeated toss of a coin. With a fair coin the chances of getting heads are exactly 0.5 (a half). The chances of it coming up heads twice in a row are 0.5?0.5=0.25 (a quarter). The probability of three heads in a row is 0.5?0.5×0.5= 0.125 (an eighth) and so on. Texas Hold'em Bonus Poker

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