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[edit] -------------------------------------------------------------------------------- This is the fallacious step in the argument. If the coin is fair, then by definition the probability of tails must always be .5, never more (or less), and the probability of heads must always be .5, never less (or more). While a run of five heads is only 1 in 32 (0.03125), it is 1 in 32 before the coin is first tossed. After the first four tosses the results are no longer unknown, so they don't count. The probability of five consecutive heads is the same as four successive heads followed by one tails. Tails is no more likely. Each of the two possible outcomes has equal probability no matter how many times the coin has been flipped previously and no matter what the result. Reasoning that it is more likely that the next toss will be a tail than a head due to the past tosses is the fallacy. The fallacy is the idea that a run of luck in the past somehow influences the odds of a bet in the future. Are online casinos as safe as "real" ones? Is playing in an online casino as good as in "real" casino? Modern tournament play became popular in American casinos after the World Series of Poker began in 1970. It was also during that decade that the first serious strategy books appeared, notably The Theory of Poker by David Sklansky (ISBN 1880685000), Super System by Doyle Brunson (ISBN 0931444014), and The Book of Tells by Mike Caro (ISBN 0897461002). References
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When the probability of each event is not even, such as with a loaded die, a number which has come up more often in the past may very well continue to do so, if that number is favored by the weighting of the dice. This has been dubbed Nerd's Gullibility Fallacy -- assuming the coin indeed is fair and the gamblers are honest when it isn't the case. This is an example of Hume's principle: twenty times tails on row implies that it is far more likely that the premise of a fair coin is wrong and coin is forged, than that the initial premise is correct and the next toss will be fifty-fifty heads or tails. Does the method work? Playing Blackjack as a Business, Lawrence Revere, 1971 Baccarat is an unusual game in that any score of 10 is worth 0 (or 'Baccarat'). The highest score that can be achieved is 9. Two picture cards would have a score of 0. A 9 and a 6 would not equal 15 but 5. (Minus the first digit) An ace counts as 1 and the rest of the cards retain their face value.
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