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The era of the modern American casino began in 1931 when the state of Nevada legalized casino gambling after, ironically, a twenty-one year long prohibition! After the Second World War the gambling industry in Nevada grew enormously and the game of blackjack spread to the rest of the world in this way, although of course it had never left countries such as England and France where it was also extremely popular in casinos.

The huge popularity of the game in Nevada (the Mecca of modern gambling) and Atlantic City rejuvenated its global appeal. In Nevada something new was created during the 1950s: a city that was known entirely for gambling and other forms of adult entertainment, a city that had a glamorous and edgy image grafted onto its existing reputation as an oasis of the "wild west".

This image peaked during the 1960s when the boxing and musical entertainments on offer in Las Vegas reached unparalleled heights, when gamblers still dressed up in tuxedos and bow ties for the tables, and celebrities such as Frank Sinatra, Sammy Davis Jr. and Sonny Liston (to name but a few) could be seen on the "high-rolling" tables of the best casinos every night. As far as the gambling went, the blackjack table was probably the most iconic image from Las Vegas, and then the glamorous image of the game was augmented by a new development.

By the 1950s statisticians had noticed that it was theoretically possible for a player to considerably reduce the built-in house advantage of the game. An academic even published a dry and dusty paper on the subject in the Journal of the American Statistical Association which received almost no attention, even though it was also published in 1958 as a paperback book called "Winning Blackjack", mainly because the theory required the use of a computer by the player to determine exactly how and when to exploit the odds and so was clearly utterly impractical.

All this changed in 1962 when a book called "Beat the Dealer" was released. It seemed to show clearly and simply how an average Joe could walk into an American casino and use a card-counting strategy to shift the odds of a blackjack game so far away from the casino that the overall odds would actually be in the player's favor! The casinos, realizing that the "basic strategy" outlined in the book was mathematically correct, began to panic. Most casinos dealt with this threat to their profits by changing the payout odds (needless to say, to increase the casino's favor) in order to destroy the odds formula of the book. As it turned out though, the fears of the casinos were largely baseless. The card-counting system required by the book was too tough for most people to use under real life conditions.

To be used successfully it required a player to incorporate every single card dealt from the beginning of a pack of cards into a count. The player had to maintain two separate counts – one for the number of ten-valued cards and another for the rest.

A player would begin with the mental totals of 16 ten-valued cards and 36 other-valued cards and make a deduction in the appropriate "column" as each card would be dealt. At the end of each hand a player would then divide the number of other-valued cards remaining by the total of the ten-valued cards remaining.

The resulting number showed mathematically what the player's advantage would be during the next hand: if the number was positive, it represented the player's advantage over the house; if negative, the house's advantage over the player (the correct bet to make could therefore be decided upon quite easily). It is easy to see why this was pretty irresistible to a lot of players, but just try throwing cards quickly around a table and trying to keep two separate totals going in your head without missing a beat – or a single card!

After this book was published, the casinos were deluged with such a flood of players who were unable to use this counting system effectively that they ended up making a net profit from the publication of "Beat the Dealer"!

The casinos had further problems with card counters as the system was refined to a "single total" counting method, which was widely publicized during the 1970s, and so the casinos again either made subtle changes in odds or used a few other tricks to eliminate the danger card counters posed to their profits. The mystique of blackjack remains: the only casino game where the holy grail of beating the house consistently seems to be within reach!


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