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Introduction - How The Game Works. When it comes to gambling, the easier a game is to understand the worse the odds usually are. This is certainly the case with slot machines. Playing them is as easy as pressing a button. However, between the high house edge and fast rate of play, there is no quicker way to lose your money in a casino. I agree to my personal data being stored and used as per Privacy Policy. Appendix 3D: 2002 Henderson/Lake Mead slot machine rankings. Appendix 3E: 2002 Quarter and dollar returns for Las Vegas slots; Appendix 4 shows how the return is calculated for my Wizard's Fruit Slot Machine. Appendix 5 analysis of the 21 Bell Slot Machine. Appendix 6 Analysis of Red, White, & Blue Slot Machine. Get the Wizard's team's honest review of Super Slots Casino for 2021. 🎰 Slot Machines. USA Players Accepted. ♦️ Blackjack Tournaments. Crypto Friendly. February 25, 2021 Live Stream. The Wizard celebrates Purim as he invites the audience to ask him anything. Omaha (part 2 of 2).
Introduction
Slot Bingo appears to be a pick-15 keno game. The game is made by SmartSoft Gaming, a provider of games for Internet casinos. As I show below, the game does not follow the natural odds of a fair keno.
After confronting SmartSoft with my analysis, they quickly removed the game.
Rules
- The player may play 1 to 8 cards at a time.
- Each card is marked with 15 random numbers, without replacement, from 1 to 80. The player may not choose his own numbers. The cards change after every game.
- After a bet is made, the game will draw 20 random balls, numbered 1 to 80, without replacement.
- If a ball drawn by the game matches a number on any card played, then it is marked on the card and it known as a 'catch.'
- Each card wins according to the number of catches and the pay table below.
Slot Bingo Pay Table
| Catch | Pays |
|---|---|
| 15 | 10000 |
| 14 | 1000 |
| 13 | 800 |
| 12 | 500 |
| 11 | 400 |
| 10 | 200 |
| 9 | 100 |
| 8 | 50 |
| 7 | 40 |
| 6 | 20 |
| 5 | 10 |
| 4 | 5 |
| 3 | 4 |
| 2 | 2 |
| 1 | 0 |
| 0 | 0 |
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Analysis
The following table shows the expected return, assuming the balls are drawn fairly. Pays are on a 'for one' basis.
Wizard Of Odds Free Play
Slot Bingo Return Table
| Catch | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 15 | 10000 | 15,504 | 0.000000 | 0.000000 |
| 14 | 1000 | 2,325,600 | 0.000000 | 0.000000 |
| 13 | 800 | 137,210,400 | 0.000000 | 0.000017 |
| 12 | 500 | 4,310,693,400 | 0.000001 | 0.000325 |
| 11 | 400 | 81,903,174,600 | 0.000012 | 0.004937 |
| 10 | 200 | 1,009,047,111,072 | 0.000152 | 0.030412 |
| 9 | 100 | 8,408,725,925,600 | 0.001267 | 0.126716 |
| 8 | 50 | 48,650,485,712,400 | 0.007331 | 0.366572 |
| 7 | 40 | 198,344,287,904,400 | 0.029890 | 1.195589 |
| 6 | 20 | 572,994,609,501,600 | 0.086348 | 1.726962 |
| 5 | 10 | 1,168,909,003,383,260 | 0.176150 | 1.761501 |
| 4 | 5 | 1,660,382,107,078,500 | 0.250213 | 1.251066 |
| 3 | 4 | 1,595,269,083,271,500 | 0.240401 | 0.961604 |
| 2 | 2 | 981,704,051,244,000 | 0.147939 | 0.295878 |
| 1 | 0 | 346,917,972,996,000 | 0.052279 | 0.000000 |
| 0 | 0 | 53,194,089,192,720 | 0.008016 | 0.000000 |
| Total | 6,635,869,816,740,560 | 1.000000 | 7.721578 |
The lower right cell shows an expected return of 772%!
Experiment
A return of 772% seemed too good to be true, so I played the free game at the SmartSoft web site. I found the average number of catches to be ridiculously low. So I recorded 20 consecutive games for more careful analysis. The following video shows those 20 games.
The next table shows the number of catches on each card in each game.
Total Catches by Game and Card
| Game | Card 1 | Card 2 | Card 3 | Card 4 | Card 5 | Card 6 | Card 7 | Card 8 | Total |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 3 | 2 | 1 | 1 | 1 | 2 | 2 | 13 |
| 2 | 1 | 2 | 0 | 2 | 1 | 3 | 2 | 1 | 12 |
| 3 | 1 | 0 | 2 | 0 | 1 | 0 | 3 | 1 | 8 |
| 4 | 2 | 2 | 1 | 0 | 1 | 1 | 2 | 1 | 10 |
| 5 | 2 | 0 | 1 | 2 | 2 | 0 | 1 | 0 | 8 |
| 6 | 1 | 0 | 0 | 1 | 2 | 1 | 3 | 1 | 9 |
| 7 | 1 | 0 | 1 | 2 | 2 | 1 | 0 | 2 | 9 |
| 8 | 3 | 2 | 0 | 2 | 1 | 1 | 0 | 2 | 11 |
| 9 | 1 | 0 | 0 | 1 | 0 | 0 | 3 | 3 | 8 |
| 10 | 2 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 4 |
| 11 | 2 | 1 | 1 | 2 | 4 | 1 | 1 | 0 | 12 |
| 12 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 6 |
| 13 | 1 | 0 | 2 | 3 | 1 | 3 | 1 | 0 | 11 |
| 14 | 0 | 0 | 1 | 0 | 1 | 0 | 3 | 4 | 9 |
| 15 | 1 | 0 | 4 | 3 | 2 | 2 | 1 | 3 | 16 |
| 16 | 1 | 1 | 1 | 1 | 2 | 2 | 3 | 0 | 11 |
| 17 | 2 | 2 | 1 | 3 | 2 | 1 | 0 | 1 | 12 |
| 18 | 0 | 2 | 0 | 1 | 0 | 0 | 1 | 2 | 6 |
| 19 | 0 | 2 | 0 | 0 | 1 | 1 | 0 | 2 | 6 |
| 20 | 0 | 2 | 1 | 0 | 1 | 1 | 1 | 0 | 6 |
| Total | 23 | 20 | 19 | 24 | 28 | 20 | 27 | 26 | 187 |
The lower right cell shows a total of 187 catches.
Wizard Of Odds Slots
In 20 fair games of 8 cards each with 15 numbers per card, the expected number of catches would be 20 × 8 × 15 × (20/80) = 600.
My results were 600-187 = 413 catches short of expectations.
The standard deviation of the total catches in 20 games is sqrt(20*8*15*(1/4)*(3/4)) = 10.606602.
This makes my results 413/10.606602 = 38.938013 standard deviations short of expectations.
In a fair game, the probability of 187 catches of less would be 1 in some number with about 330 digits. To put that in perspective, that would be like the chances of buying 39 random Powerball lottery tickets (each has a chance of winning of 1 in 292,201,338) and winning on all 39 of them.
You may be wondering if the game discloses that the ball draw is not fair. It does not that I can find. If you click the question mark in the game nothing happens.
It is easy to conclude either the cards or the ball draw is not random. I don't know exactly how they are doing it, but the numbers that appear least on the player cards are the most likely to be drawn.
Update
After giving SmartSoft Gaming an opportunity to respond to this page, they replied that Slot Bingo was a work in progress and not available for actual casino use. Furthermore, they indicated it was not a good idea to have incomplete games on their web site, which I see they removed.
I would like to commend SmartSoft for doing the right thing and removing the game.
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Written by:Michael Shackleford
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Getting Started with Slots
Intro - Exactly How The Video game Works
When it involves gaming, the simpler a game is to recognize the even worse the chances typically are. This is certainly the situation with slot machines. Playing them is as simple as pressing a switch. Nonetheless, in between the high residence side as well as the fast price of play, there is no quicker method to lose your loan in a gambling enterprise.
Exactly how They Work
- Chances: Clark Area Port Win 2012
- Recommendations: Picking which device to play and also ways you can maximize your return
- Misconceptions and also Truths
- The Advancement of Slot Machines
- SIGHT ALL
Slot Machine FAQ
Michael Shackleford and Angela Wyman on frequently asked ports inquiries.