Bingo Card Selection...
Game Strategy and The Winning Bingo Card
Contrary to popular belief, Winning at Bingo is not all luck. There are ways to bend the odds in your favor and become a more consistent winner, if you know how!
Bingo Game Strategy
Mathematical analyst Joseph E. Granville has taken a long, hard look at Bingo Game Strategy, and after years of painstaking research, has developed proven strategies that give you a clear competitive edge so that you can actually beat the odds at the Game of Bingo!
Joseph E. Granville is the creator of successful stock market strategies used by thousands to beat the odds, so if you like playing the game of bingo, and would like to win more often... then read what follows carefully.
Bingo Game Strategies That Work
These Bingo Game Strategies are so simple anyone can use them. Bingo game strategy with no complicated figuring, no mathmatical calculations to be done, simply step-by-step procedures to follow, which automatically increase the odds of winning any Game of Bingo you play.
Joseph E. Granville studied thousands of bingo games in order to come to the inescapable conclusion that every Bingo game follows definite patterns, patterns the average bingo game player is completely unaware of. The secret to the winning bingo game is to take advantage of these Bingo Game Patterns. Granville discovered how to beat the odds at Bingo, and now you can too!
Bingo Card Selection
The
heart of any winning Bingo Game Strategy is card selection.
Granville isolated crucial relationships between winning Bingo numbers,
Bingo Cards, and the Master Bingo Board. Now
you too can use these simple and proven truths to select a greater number
of winning bingo cards. Most methods used by bingo game players to select
their bingo cards are totally ineffective, and contrary to Granville's strategy
for bingo card selection. Almost all Bingo
Game Players are working against themselves with their selection of
bingo cards, before the bingo game even begins.... and they don't even know
it!
Even When You Don't Get to Pick Your Bingo Card...
You can increase the odds of Winning at Bingo even if you're in a Bingo Game where you aren't allowed to select your own Bingo Cards. There are ways to beat the odds at bingo and come up a winner. Most Bingo Game players play several bingo cards each game, with the expectation that they are increasing their chances of winning. This is a bad Bingo Strategy... and the fact is, in most cases, you can improve your chances of winning at Bingo by playing fewer cards in any given bingo game.
If you're honestly serious about becoming a systematic winner at Bingo... You Can Improve Your Odds!
The Winning Bingo Strategy
It is natural to disbelieve that a serious theory designed to improve the chances of winning at bingo even exists. It is also natural to respond negatively to anyone putting forth a "systems" for Playing Bingo to Win. Afterall, everyone knows that the chances of any one ball coming out of a bingo machine is totally one of luck... Right?
Well, while it may appear at first, difficult to counter such a reaction, the solid structure of mathematical probability is capable of destroying that argument. The key to beating the bingo game odds lies in a clear understanding of the word random. Our typical "bingo strategy" critic will agree that the balls being drawn from a machine are popping out at random. Now, having a common agreement on this fact, the next step is simply to show such critics that there is far more to the word random than first meets the eye.
- 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
- The probability of any ball coming up on the first draw is 1 in 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 the otherwise hopeless problem into a series of systematic solutions which will determine the best selection of bingo cards. Assuming that the bingo balls come out of the machine at random, then three things must have a strong tendency to occur:
- There must be an equal number of numbers ending in 1's, 2's, 3's, 4's
- Odd and even numbers must tend to balance.
- High and low numbers must tend to balance.
Those are the three accepted tests for randomness, and unless the distribution meets those tests it is said that there is a bias and the distribution is not random. We can add a fourth test for randomness which has a peculiarly effective application at beating the bingo game.
This fourth test is best described by the English statistician L. H. C. Tippett 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". What this means, is that the bingo master board of 75 numbers constitutes the "population".
- The average in that population is the average of 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
- It is certain that as the game progresses the average of the numbers called will steadily approach 38.
The author will wager that not one in ten players is aware of these statistical facts. So, 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 taken the closer the numbers will average to 38. Obviously this fact will play a key role in the strategic selection of bingo cards played.
Bingo Card Selection and The 1st Ten Numbers
The first ten numbers to show in a bingo, will with few exceptions, tend to have different last digits. Of course, the average bingo player doesn't notice this because they have their attention on the bingo cards rather than the master board. Since most regular games last for only about ten to twelve calls or less, you can vastly improve your chances of selecting a winning bingo card by selecting a bingo card with the most numbers with different end digits.
Probability Predicts Different Digit Ending...
Let's review the first characteristic of drawing numbers at random from a uniform distribution... specifically 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 law is derived from simple probability, and accounts for the fact that 60% of the first ten numbers called in any bingo game tend to have different last digits.
For the first six numbers called in a game the probabilities are clearly in favor of all having different ending digits. From the seventh number on up, the probability of pairing up one or more of the ending digits increases.
Bingo Cards consist of 24 numbers and the free spot in the middle. Those 24 numbers occupy 16 strategic squares and 8 dead squares. The "dead squares" are the 8 outside numbers next to each corner. Dead squares are the only squares that cannot achieve a bingo using the free center square. The vast majority of winning bingo combinations consist of numbers occupying strategic squares. The only time the dead squares are involved with a winning bingo card is when the bingo is made the "hard" way, 5 straight vertical numbers, or five straight horizontal numbers. All number selections for the regular and most of the special games require the use of only the strategic squares.
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