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Article 2: Probability Predicts Different Digit Endings

The next time you play bingo, note very carefully an amazing characteristic relating to the first ten called. With very few exceptions, you will note that a majority of the numbers have different digit endings! The average bingo player, putting all the attention on the cards rather than the numbers being called, would tend to overlook this, the most important single characteristic of the first ten numbers called in any bingo game. Since most regular straight line games last for about ten to twelve calls or less, you will vastly improve your chances of selecting a winning card by concentrating on numbers having different digit endings.

The reason behind this important piece of information goes back to the first characteristic of drawing numbers at random from a uniform distribution we discussed in the first article. The first expectation would be that there would be an equal number of numbers ending in 1's, 2's, 3's, 4's etc. Since we are only concerned with the first ten or twelve numbers to be called, not enough balls have been drawn to expect more than a minimum of digit pairs. The laws governing a sample drawing of ten balls out of seventy five would show a strong tendency toward there being one ball with a number ending in 1, another ending in 2, another ending in 3, etc. until most of the ten digit endings are represented. This conclusion is derived from simple probability. If the first number called in a game is N-31 then all the probabilities are increased on the next draw that the second number will not end with the digit 1 simply because there are more balls having different digit endings than there are balls left with numbers ending in 1. If the next number is G-56 then the probabilities are increased that the next number will not end in 1 or 6. For the first six numbers called in a game the probabilities are clearly in favor of all having different digit endings. From the seventh number on the probabilities favor pairing up one or more of the ending digits.

The rule of thumb here, based on actual experience, is that 60% of the first ten numbers called in any bingo game will tend to have different digit endings. Next time you play bingo, take a piece of paper and test this yourself.

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• Article 1: Statistics vs. Probability
• Article 2: Probability Predicts Different Digit Endings
• Article 3: Identifying the Important Squares on the Card
  
   

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