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Bonus:
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Max cash out:
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Bonus:
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Bonus:
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Max cash out:
$ 500

More odds makes it harder to win the progressive jackpot. Based on this sampling I now recommend waiting until the Jumbo Ball reach 54 if you.


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The probability of any given card having 8 to 14 evens is 0. The net result is fewer progressive winners and less total prize money won. My definition of a fair card is one in which the 5 "B" numbers are randomly chosen from 1 to 15, the 5 "I" number are randomly chosen between 16 and 30, and so on. The next table shows the expected probability of both a fair card and a Stations card winning according to the number of balls called to win the jackpot. Enter your email address to receive our newsletter and other special announcements. Palace Station cards, actual vs. Suncoast cards, actual vs. In all forms of gambling I strongly support fairness and disclosure. Based on this sampling I now recommend waiting until the Jumbo Ball reach 54 if you want an positive expected value. The following table displays the probability distribution according to the total odd numbers on the card for a fair card. In the event nobody at any of the five bingo parlors hits it in the first week the number of calls to win the progressive called the Jumbo Ball moves up by one to Likewise the Jumbo Ball will increase by one every week until somebody wins. More odds makes it harder to win the progressive jackpot. Sam's Town cards, actual vs. We then counted the number of odds on each card and as I feared the total odds were always 9 to The next table shows the total for each number of odds and the expected total in a fair game. It is plain to see that my results do not conform to what was expected. Sign Up. If the total odds are between 9 and 14 it will print the card, otherwise it will discard that set of numbers and go onto the next set. Enter your email address below to subscribe to our weekly newsletter along with other special announcements from The Wizard of Odds! In a follow up phone call Stephen Cavallaro told me that the way the cards are created is that the computer will randomly choose a set of fair numbers. Fiesta Rancho cards, actual vs. For example it is It is my opinion that all bingo cards should be created truly randomly in the manner suggested above. The probability the total number of odds will be between 9 and 14 is 0. Old Vs. As always in bingo any prize is split if multiple players win concurrently. Stephen came right out and admitted the cards were preselected to contain 9 to 14 odds each. At the same time the casinos have to reseed the meter less frequently. One reader of that column told me he believed the cards were not created randomly, evidenced by the fact that he purchased cards and they all had a total number of odds between 9 and To confirm the accusation that all cards had 9 to 14 odds my assistant Rob Feldheim gathered Jumbo Bingo cards at the Palace Station. Barring that, I believe that if a card is not created randomly the rules should be disclosed about the manner in which they are created and the effect on the player. To further argue there has been a change in the way cards are drawn the following table shows the results of my sample before and after the alleged alteration. In the July issue of the Las Vegas Advisor I wrote an article about Jumbo Bingo, based on assumption that the cards were created randomly. The Wizard of Odds Search. Overall the result of removing from the best cards from the mix is that the probability of any given card hitting the progressive is substantially less. More Info Got It! Furthermore I did a similar test on ordinary bingo cards from the Suncoast. The next table shows the probability of winning in a fair game assuing the player must get a cover all within 50 numbers. No comment was made about my evidence to the contrary and due to my "negative reporting" further cooperation was denied. He also said initially the range was much wider and that the first winner had only 3 odds on the card to begin with. Evidently in an effort to save time the first 37 numbers called are all even numbers between 2 and The Jumbo Bingo cards are conveniently premarked for all even numbers. So let the bingo player beware. This policy of preselecting cards results in growing larger jackpots. All rights reserved. I put in an inquiry about how the new cards are drawn to Station Casinos management and was told there was no change in the way the cards are drawn. Actual Vs. Removing the worst cards does not compensate. The next table compares my total sample with the expected totals given the same sample size and the probability of each total assuming the same method of drawing cards explained to me previously by Stephen L. On This Page. Another way to achieve the same result would be to draw numbers from 1 to 75 filling up the card as numbers are chosen, and disregarding numbers if the corresponding column had already been filled. At Sam's Town the game is reversed with the odd numbers called in advance. A statistical test on the skewness of this distribution compared to expectations results in a chi-squared statistic of The probability of results this skewed or more are 1 in ,,,,,,,,,,,,,,,,,,,,,, To put this in perspective, the probability of hitting the Powerball eight times in a row are greater. To win the player must get a cover all cover all 24 numbers on the card within 47 calls. Notes: "Mike's sample" was collected at the session, November 1, at the Sunset Station. The following table shows a recent distribution of cards taken by myself and another played I'll just call "L. When the game starts the caller will ask if anybody won based on a card with all even numbers. Don't show this again.{/INSERTKEYS}{/PARAGRAPH} Privacy Policy. The ratio column shows how many more times difficult it is to win using a Station casino card as opposed to a fair card. Here are the results of the same kind of test done on Grande bingo cards obtained after the a. The lower image--rightell shows the overall probability of winning is 0. {PARAGRAPH}{INSERTKEYS}Although the range of 9 to 14 odds remains the same the probability is now heavily weighted towards 14 odds, as opposed to more even distribution previously. However I did get 1 card with 8 evens, and also only 1 with 9. The following table shows the adjusted probability of each number of odds under this method of card creation. Out of the sample of The probability of this happening in a fair game is 0. A sample of had the following actual and expected results. Neither of these I find to be the case with bingo in the state of Nevada. Sign Up Enter your email address to receive our newsletter and other special announcements. Cavallaro of Station Casinos. I thank Stephen Cavallaro and Jonathan Swaim for meeting with me and for their openness about this matter. The following graph compares the two probability columns in the above table relative to the expected probabilites. The Wizard of Odds. I had expected to a range of 10 to 15 odds, or 9 to 14 evens, at Sam's Town, based on conversation with Stephen L. The probability of falling in this range is 2. Of the cards the number outside the 9 to 14 range was 21, the expected number was They should have since there was no game in which odds or evens were called in advance. Then after nobody claims a winning card the caller will draw balls at random, disregarding the even numbered balls. Obviously a card with very few odds would have a good running start and a much better chance of winning that a card with mostly odd numbers. Share this. It is the same in that all the even numbers are called in advance. He said this was in an effort to level the playing field and give each card and customer hope to win. Sample 1 was taken in August, sample 2 was taken Oct 30 and Nov 1. The probability that a winning card in a fair game having less than 9 odds is When it became known that I was planning to write about my investigation I was asked to meet with Stephen L. Following is my evidence that the progressive bingo cards sold at the following Las Vegas casinos are not created entirely randomly. The Fiesta casinos have a very similar game on a smaller scale. Featured Games. If there is a win in a fair game note that it is most likely to occur on a card with 6 odds. Bingo Probabilities: Analysis of the Jumbo progressive at Station Casinos Introduction Update Since I wrote my initial report the Station casinos have evidently changed the distribution of odds and evens again, probably sometime in October.