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A joke told among mathematicians demonstrates the nature of the fallacy. When flying on an airplane, a man decides to always bring a bomb with him. "The chances of an airplane having a bomb on it are very small," he reasons, "and certainly the chances of having two are almost none!" Cards are war, in disguise of a sport. - Charles Lamb, Essays of Elia (1832) A two-card hand of 21 (an ace plus a ten-value card) is called a "blackjack" or a "natural", and is an automatic winner. A player with a natural is usually paid 3:2 on his bet, although in 2003 some casinos started paying only 6:5 on blackjacks, a move decried by longtime blackjack players. The 'Banker' must stand on 6 when the 'Player' has a 6 or 7 on the initial deal. In fact one of the casinos claims on average customers lose $900 at their casino. [edit] Roulette Online Non-examples Other Macintosh Casinos 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. [edit] Slot Machine: Food Fight many more pennies than any player thus ensuring that the player is much more likely than the casino to experience gambler's ruin; Roulette [edit] The Theory of Gambling and Statistical Logic, Richard A. Epstein, 1977, ISBN 012240761X, 215-251 The following rules are detrimental to the player:

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