Station Casino Bingo Jackpots

Posted By admin On 29/03/22
Station Casino Bingo Jackpots 4,4/5 9471 reviews

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Introduction

Local Wins $133,125.25 Jackpot From $1.25 Bet on Station Casinos Video Poker Machine By John Schumacher — 4 weeks ago It was a life-changing weekend for one lucky Las Vegas local. For current jackpot totals at all casinos, call the bingo hot line at (702) 393-2000.Linked between all Station Casinos. A note about 'unusual' games: Most games that stray from the norm of regular, hardway and double bingo are usually a variation of the latter.

Update

Since I wrote my initial report the Station casinos have evidently changed the distribution of odds and evens again, probably sometime in October. The following table shows a recent distribution of cards taken by myself and another played I'll just call 'L.'

New Sampling of Jumbo Bingo Cards

Number
of Odds
Mike's SampleL's SampleTotal SampleProbability
92350.011261
10710170.038288
111425390.087838
123441750.168919
1341711120.252252
14861101960.441441
Total1842604441

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. 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 want an positive expected value.

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. Cavallaro (Executive Vice President & Chief Operating Officer of Station Casinos).

Actual Vs. Expected Totals

Number
of Odds
Sample TotalExpected Total
9533.17
101760.48
113987.61
1275101.15
1311293.18
1419668.41
Total444444

It is plain to see that my results do not conform to what was expected. A statistical test on the skewness of this distribution compared to expectations results in a chi-squared statistic of 330.71 with 5 degrees of freedom. The probability of results this skewed or more are 1 in 402,433,741,048,496,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000. To put this in perspective, the probability of hitting the Powerball eight times in a row are greater.

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. Sample 1 was taken in August, sample 2 was taken Oct 30 and Nov 1.

Old Vs. New Sample

Number
of Odds
Sample 1Sample 2Sample 1 ProbabilitySample 2 Probability
935513.51%1.13%
10351713.51%3.83%
11343913.13%8.78%
12487518.53%16.89%
135511221.24%25.23%
145219620.08%44.14%
Total259444100%100%

The following graph compares the two probability columns in the above table relative to the expected probabilites.

This shows that although sample 1 did not match expectations well it was still possible the deviation was due to a skewed sample (the probability of this is 1 in 4844). However the new sampling does not match either expectations or the old sample beyond any doubt.

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. No comment was made about my evidence to the contrary and due to my 'negative reporting' further cooperation was denied.

Notes: 'Mike's sample' was collected at the 3:00 session, November 1, at the Sunset Station. 'L's sample' was collected at the 9:00 a.m. and 11:00 a.m. sessions, October 30, at the Boulder Station.

Following is my initial study, which is now outdated.

Following is my evidence that the progressive bingo cards sold at the following Las Vegas casinos are not created entirely randomly.

  • Palace Station
  • Santa Fe Station
  • Texas Station
  • Boulder Station
  • Sunset Station
  • Fiesta Rancho
  • Fiesta Henderson
  • Sam's Town

The Station casinos in Las Vegas run a linked bingo progressive called Jumbo Bingo. The progressive meter starts at $100,000. To win the player must get a cover all (cover all 24 numbers on the card) within 47 calls. 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 48. Likewise the Jumbo Ball will increase by one every week until somebody wins.

Evidently in an effort to save time the first 37 numbers called are all even numbers between 2 and 74. The Jumbo Bingo cards are conveniently premarked for all even numbers. When the game starts the caller will ask if anybody won based on a card with all even numbers. Then after nobody claims a winning card the caller will draw balls at random, disregarding the even numbered balls. If nobody gets a coverall by the time the Jumbo Ball is called there is a $5000 consolation prize for a coverall within 52 calls. If nobody claims that there is an $1199 prize for the first person to get a coverall regardless of the number of calls. As always in bingo any prize is split if multiple players win concurrently.

The Fiesta casinos have a very similar game on a smaller scale. The progresive starts at $25,000 and the consolation prizes are smaller. It is the same in that all the even numbers are called in advance. At Sam's Town the game is reversed with the odd numbers called in advance.

The following table displays the probability distribution according to the total odd numbers on the card for a fair card. 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. 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.

Probability for Total Odd Numbers - Fair Card

Number
of Odds
ProbabilityInverse Probability
00.0000000004361 in 2293355030
10.0000000227471 in 43962077
20.0000005347941 in 1869877
30.0000075300061 in 132802
40.0000712028341 in 14044
50.0004808012051 in 2080
60.0024076762761 in 415
70.009168270511 in 109
80.0270137899161 in 37
90.0623466573381 in 16
100.1136777020371 in 9
110.1646712000051 in 6
120.19012226021 in 5
130.1751328725321 in 6
140.12857406341 in 8
150.0749842214031 in 13
160.0345408090081 in 29
170.0124588678781 in 80
180.0034753655111 in 288
190.000736575091 in 1358
200.0001156249111 in 8649
210.0000129378671 in 77292
220.0000009698221 in 1031117
230.0000000434011 in 23041075
240.0000000008721 in 1146677515
Total11 in 1

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. In the July 2002 issue of the Las Vegas Advisor I wrote an article about Jumbo Bingo, based on assumption that the cards were created randomly. One reader of that column told me he believed the cards were not created randomly, evidenced by the fact that he purchased 1500 cards and they all had a total number of odds between 9 and 14.

Jackpots

To confirm the accusation that all cards had 9 to 14 odds my assistant Rob Feldheim gathered 259 Jumbo Bingo cards at the Palace Station. We then counted the number of odds on each card and as I feared the total odds were always 9 to 14. The next table shows the total for each number of odds and the expected total in a fair game.

Palace Station cards, actual vs. expected

Number
of Odds
Number
in Sample
Expected
Total
000
100.000006
200.000139
300.00195
400.018442
500.124528
600.623588
702.374582
806.996572
93516.147784
103529.442525
113442.649841
124849.241665
135545.359414
145233.300682
15019.420913
1608.94607
1703.226847
1800.90012
1900.190773
2000.029947
2100.003351
2200.000251
2300.000011
2400
Total259259

The probability the total number of odds will be between 9 and 14 is 0.834524756. Out of the sample of 42.858088 should have fallen outside the 9 to 14 range but instead none of them did. The probability of this happening in a fair game is 0.834524756259 = 4.4953 * 10-21, or 1 in 222,454,364,282,805,000,000.

Here are the results of the same kind of test done on Grande bingo cards obtained after the 11:00 a.m. session on August 22, 2002, at the Fiesta Rancho.

Fiesta Rancho cards, actual vs. expected

Number
of Odds
Number
in Sample
Expected
Total
000
100.000002
200.000047
300.000655
400.006195
500.04183
600.209468
700.79764
802.3502
9105.424159
1069.88996
111914.326394
121816.540637
131815.23656
141611.185944
1506.523627
1603.00505
1701.083922
1800.302357
1900.064082
2000.010059
2100.001126
2200.000084
2300.000004
2400
Total8787
The number expected to fall outside the 9 to 14 range is 14.396346, but 0 of them actually did. The probability of this is 1.46289 * 10-7, or 1 in 6,835,771.

Next are the result of my sample of progressive cards from Sams Town.

Sam's Town cards, actual vs. expected

Number
of Evens
Number
in Sample
Expected
Total
000
100.000002
200.000055
300.000768
400.007263
500.049042
600.245583
700.935164
812.755407
916.359359
101911.595126
112516.796462
122419.392471
132017.863553
141213.114554
1507.648391
1603.523163
1701.270805
1800.354487
1900.075131
2000.011794
2100.00132
2200.000099
2300.000004
2400
Total102102

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. Cavallaro of Station Casinos. However I did get 1 card with 8 evens, and also only 1 with 9. The probability of any given card having 8 to 14 evens is 0.881703. The probability of 102 falling in this range is 2.647786 * 10-6, or 1 in 377,674.

Furthermore I did a similar test on ordinary bingo cards from the Suncoast. A sample of 129 had the following actual and expected results.

Suncoast cards, actual vs. expected

Number
of Odds
Number
in Sample
Expected
Total
000
100.000003
200.000069
300.000971
400.009185
500.062023
600.31059
711.182707
863.484779
958.042719
101714.664424
111921.242585
122924.525772
132022.592141
141816.586054
15109.672965
1614.455764
1731.607194
1820.448322
1900.095018
2000.014916
2100.001669
2200.000125
2300.000006
2400
Total129129

Of the 129 cards the number outside the 9 to 14 range was 21, the expected number was 21.34630654. These cards easily passed the odd/even test. They should have since there was no game in which odds or evens were called in advance.

The next table shows the probability of winning in a fair game assuing the player must get a cover all within 50 numbers.

Probability of Winning - Fair Card

Number
of Odds
Probability
of Card
Probability
Card Wins
Total
Probability
00.00000000043610.000000000436
10.0000000227470.3421052631580.000000007782
20.0000005347940.1109530583210.000000059337
30.0000075300060.0339023233760.000000255285
40.0000712028340.0096863781070.000000689698
50.0004808012050.0025640412640.000001232794
60.0024076762760.0006215857610.000001496577
70.009168270510.0001359718850.000001246627
80.0270137899160.0000263171390.000000710926
90.0623466573380.000004386190.000000273464
100.1136777020370.0000006049920.000000068774
110.1646712000050.0000000648210.000000010674
120.19012226020.0000000048020.000000000913
130.1751328725320.0000000001850.000000000032
140.128574063400
150.07498422140300
160.03454080900800
170.01245886787800
180.00347536551100
190.0007365750900
200.00011562491100
210.00001293786700
220.00000096982200
230.00000004340100
240.00000000087200
Total100.000006053319

The lower image--rightell shows the overall probability of winning is 0.000006053319, or 1 in 165199. If there is a win in a fair game note that it is most likely to occur on a card with 6 odds. The probability that a winning card in a fair game having less than 9 odds is 94.15%.

When it became known that I was planning to write about my investigation I was asked to meet with Stephen L. Cavallaro (Executive Vice President & Chief Operating Officer of Station Casinos) and Jonathan Swain (vice president & general manager of the Palace Station). Stephen came right out and admitted the cards were preselected to contain 9 to 14 odds each. He said this was in an effort to level the playing field and give each card and customer hope to win. He also said initially the range was much wider and that the first winner had only 3 odds on the card to begin with. Furthermore he said Sam's Town and Fiesta Casinos were doing the same thing, and that they are the Station game is fully approved by the Nevada Gaming Control Board.

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. 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. The following table shows the adjusted probability of each number of odds under this method of card creation.

Probability for Total Odd Numbers Station Card

Number of OddsProbability
90.074709
100.136218
110.197323
120.227821
130.209859
140.154069
Total1

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. Removing the worst cards does not compensate. This policy of preselecting cards results in growing larger jackpots. At the same time the casinos have to reseed the meter less frequently. The net result is fewer progressive winners and less total prize money won. 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.

Expected Probability of Winning

Number
of Calls
Fair CardStations CardRatio
471 in 1,122,3731 in 205,287,873182.91
481 in 583,2171 in 35,037,98360.08
491 in 308,0051 in 8,203,63826.63
501 in 165,1991 in 2,358,36314.28
511 in 89,9251 in 785,0088.73
521 in 49,6481 in 291,9235.88
531 in 27,7841 in 118,4334.26

The ratio column shows how many more times difficult it is to win using a Station casino card as opposed to a fair card. For example it is 14.28 times harder to win if the jackpot must be hit in 50 balls or less.

It is my opinion that all bingo cards should be created truly randomly in the manner suggested above. 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. In all forms of gambling I strongly support fairness and disclosure. Neither of these I find to be the case with bingo in the state of Nevada. So let the bingo player beware.

I thank Stephen Cavallaro and Jonathan Swaim for meeting with me and for their openness about this matter.

Go back to probabilities in bingoMichael Shackleford, ASA

Other Bingo Pages

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Boulder Station Bingo


Coast Casinos Cash Ball Jackpots for 2007
Written by:Michael Shackleford

If you’re new to bingo, it’s easy to get started! First, purchase a buy-in pack. We have both traditional paper and electronic games. We recommend beginners start with electronic. If you decide to go with the traditional paper games, we have daubers for purchase. The buy-in for morning sessions includes 10 bingo games, with nine bingo cards, or 9-on. The matinee and evening sessions feature 12 games with 12-on.

Sunset
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House Special Pack: Purchase a House Special pack to receive additional games that offer a higher progressive pot. Games are played every third game.

Station Casino Bingo Jackpots

Fish Bowl Progressive Pot

We’ll draw a fish bowl number before each morning, matinee, and evening session. Each time the fish bowl number is called during the regular session and no one bingos, the pot progresses (amount is designated for the particular session in play). When someone bingos on a fish bowl number (and they’ve purchased a fish bowl ticket for that session), that winner is awarded the fish bowl pot amount in addition to the prize amount for that game. Once the progressive amount is won, the fish bowl pot is reset.

To play in the fish bowl pot games, you must purchase an additional ticket for $1. The pot starts at $100 for morning sessions and $200 for matinee and evening sessions.

Bingo Games

Station Casinos Bingo Jackpots

Before regular bingo sessions, we typically play warm-up and early bird sessions. These sessions have a smaller payout than our regular games. Refer to the weekly bingo schedule below to see when we’re playing warm-up, early bird, and regular sessions as well as what each game is paying out.

Station Casino Bingo 2020

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Make it a celebration! Play Bingo on your birthday at Meskwaki and you’ll receive $20 off a bingo admission with a valid I.D.