The statistics of roulette

8/26/99


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The statistics of roulette

In Roulette there are 18 black, 18 red, and two green slots (0 & 00)

As the ball goes around it is equally likely to land in any slot

If a dollar is bet on red the outcomes are win or lose a dollar

The Probablity of winning is 18/38 or 0.473 (18 red of 38)

The proability is that you will lose 5.3 cents

The variance can be calculated

To yield a standard deviation of plus or minus 0.998

The results for 50 one dollar bets done a number of time

The distibution of these bets is normal

The mean of the fifty bets would be -0.53

The standard deviation of the fifty bets would be

The 14 cents per dollar bet is a long ways from the 99.8 of 1 bet

Most results will be between a lose of 47 cents to a gain of 37

So the final results of fifty $1 bets will as follows

If 1000 $1 bets were made most would lose money

If 100,000 bets are made there is almost no possibility of winning

These are the important concepts which should ne learned

These concepts can and will be extended to manufacturing

Author: Compaq User

Email: Grow@adm.njit.edu

Home Page: http://www-ec.njit.edu/~grow/statisti.htm

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