bingo is a program that allows you to play thousands of bingo cards to see how quickly you score a single bingo or cover the card with 12 bingos. The chi-square test tells you if each bingo matches its probability of occurrence.
Because the program prints the cover-all results, the urn is not refilled until it is empty or a cover-all prize has been awarded.
The program prints the probabilities of winning the cover-all or blackout prize based on drawing 25 to 75 numbers. It also prints the probabilities of winning each of the 12 bingo prizes based on drawing 5 to 75 numbers for the outer bingos, and 4 to 75 numbers for the bingos that cross the center square.
The bingo program has one parameter:
Example of how to run the program.
bingo 10000
In this example, the program plays 10000 cards. The program prints the probability distribution, the observed frequency, and the chi-square. Because of the level of detail in the program, the more cards you play, the more accurate the detailed observations.
The Chi-square number should fit within its Range 95 percent of the time.
The chi-square test is similar to:
Chapter 12, Chi-square Tests
Section 3, Testing for Goodness of Fit
Formula 12-3
Example 12-4
In Table 12-3, each category in the chi-square test has a different expected frequency. This corresponds to the different expected frequencies for the number of successes.
John Scarne
Scarne's New Complete Guide to Gambling
Fully revised, expanded, updated edition
New York: Simon & Schuster, 1961, 1974, 1986
A Fireside book, 871 p.
ISBN: 0-671-21734-8 hardback
ISBN: 0-671-63063-6 paperback
Chapter 8, Bingo: The $3 Billion National Pasttime
Section: Bingo Mathematics