Winning at Bingo is not all luck, contrary to popular belief. There are ways to bend the odds in your favour and become a more consistent winner.

Now noted mathematical analyst Joseph E. Granville, creator of successful stock market strategies used by thousands, has directed the enormous power of his analytical mind to the game of Bingo. After years of painstaking research, he has developed proven strategies that give you a clear competitive edge so that you can actually beat your luck at Bingo!

Techniques for playing Online Bingo

Granville's techniques are so simple anyone can use them. There aren't any tricky calculations, or big mental computations to be done. Granville's method is a simple step-by-step procedure, which will turn any game of Bingo you play in your favour.

Sound impossible? It isn't. Extensive study of thousands of games led Granville to the conclusion that every Bingo game follows definite patterns, of which the average player is completely unaware. By utilizing these patterns, Granville discovered how to beat the odds at Bingo.

Discoveries About Card Selection

Naturally, the heart of any winning Bingo system is card selection. Granville isolated crucial relationships between winning Bingo numbers and the master board. He demonstrated how to use these simple and proven truths to select a greater number of winning cards. Granville found that most methods players use to select their cards are completely backwards. Players are working against themselves without even realizing it!

Money Strategy Makes For Big Winners

Even for games in which you can't select your cards, there are ways to beat the odds and emerge a winner. For instance, most Bingo enthusiasts play several cards a game to improve their chances of winning. But does this really work? No, says Granville! The startling truth is that, in many cases, you can actually improve your chances of winning big by playing fewer cards. Granville proves it! Curious? Read on to find out how fewer cards can be better.

So why trust to luck when you play Bingo? You can make the game pay you to play wisely. If you're honestly serious about becoming a systematic winner at Bingo, here's a method that you should find useful.

Bingo systems are often met with a good deal of criticism, with popular wisdom telling us that bingo is a game of pure luck. Therefore, predicting which balls will next be called seems impossible. But it's not impossible at all! It just takes a little knowledge of mathematical probability. Everyone can agree that bingo balls are drawn randomly from the machine. The utility of bingo systems actually lies in bingo's randomness. Confused? Don't be, just keep reading.

As every player knows, there are 75 balls in the machine, numbered from 1 to 75. The probability of any ball coming up on the first draw is exactly equal, 1 in 75, written as 1/75. Since the probabilities are equal, we call this a uniform distribution. Random numbers drawn from a uniform distribution fall into predictable patterns governed by the laws of probability. Therein lies the answer to transforming an otherwise hopeless problem into a series of systematic solutions, which will help you make the most advantageous selection of bingo cards. Balls that are truly ejected at random display a strong tendency toward the following patterns:

There must be an equal number of numbers ending in 1's, 2's, 3's, 4's etc. Odd and even numbers must tend to balance. High and low numbers must tend to balance. These are the three accepted tests for randomness. Unless the distribution fulfills these criteria, it is said that a bias exists and thus, the distribution is not random.

A fourth test for randomness, which we have yet to mention, is particularly effective for beating bingo. English statistician L. H. C. Tippett offered a detailed description of this fourth test in his book, "Sampling." "As a random sample is increased in size, it gives a result that comes closer and closer to the population value." Translated into simple everyday language, the bingo master board of 75 numbers constitutes the "population". The average number in that population is the average of all 75 numbers. Going from 1 to 75, the average number on the bingo board is 38. The first few numbers called in a bingo game may or may not average 38, but it is certain that as the game progresses, the average of the numbers called will gradually approach 38. So then, when bingo numbers are being called, the entire game (which consists of an average of 12 calls) is a sampling of the entire population and the larger the sample the closer the numbers will average to 38.

Probability Predicts Different Digit Ending

The next time you play bingo, pay attention to the first ten numbers flashed on the master board. With few exceptions, you'll notice that the numbers called tend to have different digit endings from one another! The average bingo player, focusing all attention on the cards, rather than the master board, would tend to overlook this. Since most regular 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. Considering that there should be an equal number of numbers ending in 1's, 2's, 3's, etc., the laws governing a sample drawing of ten balls out of seventy five would show a tendency toward each digit ending being represented.

This law is derived from simple probability. If the first number called in a game is N-31, then the probability that on the next draw, the second number will not end with the digit 1 is increased. This holds true, simply because there are more balls left having different ending digits than there are balls 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 clearly favor different ending digits for all six. From the seventh number on, the probabilities favor pairing up one or more of the ending digits. This then accounts for the finding that approximately 60% of the first ten numbers called in any bingo game will have different digit endings.