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Table games Consider players with 90 and 10 pennies respectively, repeating the game 100 times. The player with 90 pennies is expected to win 90 out of 100 complete games, winning 10 pennies each game. However, he is also expected to lose 10 games, each time forfeiting all 90 of his pennies. So after the series of 100 games, the richer player is expected to win 90*10=900 pennies, and lose 10*90=900 pennies. Despite the fact that after any single game, one player ends up with all the pennies, the expected result over many games is for both players to break even. Webmaster's Bonus Tip: Consider a flipping coin game with two players where each player having 50% chance of winning each flip. After a flip the loser transfers one penny to the winner. The game ends when one player has all the pennies. If the number of flips is infinite, the probability that the game will eventually end is 100%. If player one has n1 pennies and player two n2 pennies , the chances P1 and P2 that players one and two, respectively, will end penniless are: Sometimes, gamblers argue, "I just lost four times. Since the coin is fair and therefore in the long run everything has to even out, if I just keep playing, I will eventually win my money back." However, it is irrational to look at things "in the long run" starting from before he started playing; he ought to consider that in the long run from where he is now, he could expect everything to even out to his current point, which is four losses down. You flip a fair coin 20 times and it comes up heads every time. What is the probability it will come up tails next time? (Answer: 0.5) Blackjack, also known as twenty-one and pontoon in British English, is one of the most popular casino card games in the world. Much of blackjack's popularity is due to the mix of chance with elements of skill and decision making, and the publicity that surrounds the practice of card counting, a skill with which players can turn the odds of the game in their favor by making betting decisions based on the values of the cards known to remain in the deck. Blackjack's precursor was vingt-et-un ("twenty-one"), which originated in French casinos around 1700, and did not offer the 3:2 bonus for a two-card 21.
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