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 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. A casino is a building that accommodates certain types of gambling games and activities. Customers may gamble by playing slot machines or other games of chance and some skill (e.g., craps, roulette-for more see casino games). Game rules usually have mathematically-determined odds that ensure the house retains an advantage over the players. This advantage is called the edge. Payout is the percentage given to players. In games such as poker, the house takes a commission (a "rake") on bets players make against each other. Casinos are often placed near or combined with hotels, restaurants and other vacation attractions to encourage long stays. Example: The player originally bets $10 and the dealer shows an Ace. The player takes Insurance by betting an additional amount of $5. Suppose the player's hand is 19. The dealer turns up his 'hole card' after the Insurance betting period is over -- and it's a 10-valued card. The player loses his $10 bet. But the Insurance bet wins, so the player gets 2:1 on his $5 Insurance wager and receives $10 (on top of the $5 which are returned to him). Note that the player came out even (i.e. did not lose any money) on that round. Pai Gow  Webmaster's Bonus Tip:  Mac users usually have it easier than PC users -- There are almost no viruses or spyware to worry about, important software and hardware is built right into the computer, and Mac-compatible online casino: Bodog Non-examples   
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