## Bingo Math

Bingo players understand what the game is all about.  In the United States, bingo is a game that revolves around 5 x 5 cards pre-printed on matrices.  Players blot out numbers as those numbers are called.  In a traditional game of bingo, those numbers are 1 through 75.  Therefore, bingo players already have an idea that bingo is a game that relies heavily on math, but, because there are so many numbers, even and odd, involved, bingo players might feel a bit overwhelmed.  Fear not!  The math behind bingo is actually quite simple.

Probabilities and Odds

In a 75-ball game of bingo, the chances of a single number being drawn is 1 out of 75.  Every time a specific number is drawn, for instance the 6, the odds of that number coming up again on a ball go down.

Therefore, if a 6 is drawn with the very first ball and the odds of the number 6 coming up again is high in the overall game, it isn’t high in relation to all of the other 6’s.  If a 6 is drawn with the first ball, the odds of a 6 coming up again is now 6 out of 74 in the overall game.  The odds of a 6 coming up again in relation to all of the remaining 6’s is now 1 out of 6.  Only a 16, 26, 36, 46, 56 or 66 can be drawn in a 75-ball game of bingo because the 6 was drawn with the very first ball.

Odds and even numbers work almost the same.  In a 75-ball game of bingo, there are 38 odd numbers and 37 even numbers.  The odds of an even number being drawn are 1 out of 37.  If an even number is drawn first, then the odds of an even number being drawn second are 1 out of 36.  Every time an even number, or odd number for that matter, is drawn, the odds of an even or odd number being drawn again go down.