DO ALL BINGO CARDS HAVE THE SAME ODDS OF WINNING? A WAS TO SEE Bingo is a game of frustration. You get a card with 25 numbers on it; five to a row. The rows are picked from these ranges: ROW 1 1-15 ROW 2 16-30 ROW 3 31-45 ROW 4 46-60 ROW 5 61-75 Other people get cards too. Numbers are called out at random from 1 to 75. If one of your numbers is called, you cover it. You win if you’re the first one to have five numbers in a row, including diagonals; so there are twelve ways to win. My first reaction to this game was extreme boredom; then I got into it. If you believe in luck, or somehow think you have a better card, then it is interesting. Someone said to me there are lucky numbers that win more. There are at least two theories claiming some numbers or combinations of numbers win more. I was curious. I wrote a BASIC computer program to find the answer: Are there better BINGO cards than win more often? My BASIC program can play about 1000 games a second. I made random cards and played with them automatically. I found the number of times a card won in 1000 game trials before the 25th number was called. It seemed to me that, that is the number you usually have to win by to win. I saved the data for each card; amount of wins before the 25th number is called. I then used the same cards to run a second 1000 game trial for each card. I saved this data. I got an average for both lists; the average number it took cards to win. Then I compared the two lists, looking for consistency; that is in both trials, where card that were better in trial 1, better in trial 2. The final result of this was around 25% That is, cards that were better in trial 1 were also better in trial 2. This shows that cards have an equal chance of being better than average in two games trial of 1000 games each. 25% chance of these outcomes: in both trials a card was above average in both trials a card was below average in trial 1 a card was above average and in trial 2 below average in trial 2 a card was below average and in trial 1 below average CONCLUSION: Bingo cards have an equal change of being better at winning. DISCUSION: It is disappointing to find this result, but confirms the laws of statistics. If you just look at the list of wins, some cards do excel and sometimes they excel both times. However; overall, in 1000 games, this does not hold true. I think I will also test for extremely good cards. That is, do cards that are much better in one trial win more often in a second trial. THE END

THIS PRODUCT MAKES TWO BINGO CARDS, PLAYS BINGO, ANNOUNCES A WINNER, KEEP TRACK ON WHICH CARDS WINS, PLAYS AGAIN WITH THE SAME CARDS. BINGO IS A MATHEMATICAL GAME MANY STATISTICAL IDEAS CAN BE DEMONSTRATED WITH.

Pictures of simple math do now diagrams.