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Is Blackjack a "Winnable" Game?

When blackjack first became a casino staple, it was assumed that

 

it was rather like baccarat, where the house, by virtue of the

 

rules determining play, had a statistical edge. All players and

 

students of the game assumed that this advantage existed based

 

on two simple facts. One, the player had to act first. Two, all

 

busts (hands totaling over twenty-one) were losers no matter

 

what the dealer later drew. These two rules seem to give the

 

house an incontrovertible edge.

 

Conventional began to change in 1956 when a paper by Baldwin,

 

Cantey, Maisel, and McDermont was published in the _Journal of

 

the American Statistical Association_. This paper and a black

 

jack strategy manual published by Baldwin et al. the following

 

year both attracted very little interest among non mathemati

 

cians, but it would prove to be the first step toward determin

 

ing that blackjack is a "winnable" game.

 

Edward O. Thorp, a scientist at MIT, did understand the implica

 

tions of the work of Baldwin and his colleagues and began to ex

 

amine two elements of the game that were previously unexamined.

 

One, the composition of a deck of cards changes with every card

 

dealt. Two, some deck compositions favor the player and other

 

favor the house. In 1962, Thorp published his now famous book, _Beat the Dealer_, which contained a simple yet profound mes

 

sage. Unlike dice, roulette wheels, and slot machines, decks of

 

cards have "memory."

 

Blackjack, unlike Roulette for example, is a winnable game be

 

cause of this "memory." Let's look at an example. You are sit

 

ting at the Roulette table and the dealer throws the ball and it

 

comes to rest on the number 9. Now, when he throws the ball

 

again for the next round, what are the odds the ball lands on 9

 

again? Assuming the wheel is not rigged or the dealer is not

 

trained to "fix" the outcome, the odds of the ball landing on 9

 

again are exactly the same! Let's take it a step further. Assume

 

that the ball does indeed land on 9 again - twice more. Now the

 

ball has landed on the 9 three times in a row! What are the odds

 

this happens a fourth time? Exactly the same! There is no sta

 

tistical reason that the ball should "avoid" landing on 9 again.

 

Blackjack is different. Let's look at a similar situation in

 

blackjack. You are at the table with two other players. The

 

dealer deals a 9 to each of the players at the table. Now the

 

odds of dealing another 9 have been significantly reduced. In a

 

six deck game the odds have been reduced from 3:49 to 7:104.

 

This fact alone makes blackjack a winnable game. We will learn later how to take advantage of this.