Sometimes you’ll see a small bingo card on the bottom corner of the screen which will straight away tell you that this is a class 2 slot machine. So, be warned, these machines are not slots at all and you’ll be effectively playing computer bingo when you start spinning on these. Video slots pay out less than classic slots. Before you ever sit down to play a slot machine, you should have already determined a fixed amount of money that you are prepared to LOSE. You need to assume you are going to lose all of your money. I am going to go over ways to keep that from happening, but you must be fully prepared for the worst case scenario.
You're right, according to my table of my probabilities in bingo the probability of any one person getting a bingo within 12 numbers drawn is 0.00199521.
Normally, if the probability of an event happening is p the probability that it will happen at least once in n times is 1-(1-p)n. In this case the probability that at least one person will get a bingo is 1 - 0.0019952175 = 1 - .9980048 75 = 1 -.8608886 = .1391114.
However, in bingo we can't use the method above because all cards go against the same draw of balls. It is hard to explain, but because the cards are arranged in five columns of 15 possible numbers each, the expected number of balls is correlated. It would take a random simulation to properly answer your question. Without doing that, 13.9% is a good rough guess.
You can typically find the loose machines by watching others play before you pick a machine or by simply asking around. The best way, according to BingoAlabama.com, is to talk to one of the local bingo players who frequently plays the machines, as most locals tend to stay away from tight machines that do not pay out.
The probability of getting a bingo (5 in a row) is complicated to explain, mainly due to the free square. I used a computer to do it. Four corners is much easier. The probability of having 4 corners, given x marks on the card, is combin(20,x-4)/combin(24,x). In other words, it is number of ways to put 4 of the marks in the corners and the rest anywhere else divided by the number of ways to put all x anywhere on the card. The probability of getting four corners within y calls is the sum for i=4 to y of the product of the probability that given y calls there will be x marks on the card and the probability that these x marks will form four corners (above). The probability of getting x marks in y calls is combin(24,x)*combin(51,y-x)/combin(75,y). Following this logic, you should be able to see the math for a coverall.
Following is the expected number of calls before somebody gets a bingo according to the number of players.
1 player: 41.37
10 players: 25.51
50 players: 18.28
100 players: 15.88
200 players: 13.82
500 players: 11.56
1000 players: 10.13
The probability that any given card will have a coverall with 54 calls is combin(51,30)/combin(75,54) = 114456658306760/2103535234151140000 =~ 1 in 18738. The probability of 600 cards not winning are (1-1/18738)^600 =~ 96.79%. So the probability that at least one of the 600 players will hit is are 3.21%.
First let me explain that this is a rather old question that I put on the back burner, bingogala has now been in operation for two years according to their home page. The probability of a coverall within 54 calls for a single card is COMBIN(75-24,54-24)/COMBIN(75,54) = 0.000054. The probability at least one card in 600 will get a coverall in 54 call is 1-(1-.000054)600 = 0.032121. The expected number of winners over 380 days at 8 sessions per day is 97.65. The standard deviation is (380*8*0.032121*(1-0.032121))1/2 = 9.72. So this is (97.58-76)/9.72 = 2.23 standard deviations south of expectations. The probability of 76 or fewer winners in a fair game is 1.30%. So this could either be explained by bad luck on the part of the players, or fewer than 600 players on average. Perhaps they didn’t get as many in the early days. So the evidence doesn't warrant an accusation of foul play in my opinion.
Another Mike S., what are the odds? Lots of racetracks permit what is called 'class 2' gaming, which must be lottery or bingo based. The way to offer slots under this rule is to have a lottery or bingo game going on behind the scenes and the outcome is displayed in the form of a slot machine win. For example if the lottery game determines that you win 20 times your bet it will display whatever slot machine symbols pay 20. So it is a clever illusion.
Oklahoma, and various other Indian casinos, have what is called 'class 2' slots. The outcome is actually determined by the draw of bingo balls. Players at different various different slot machines are linked together, each player has different cards but the draw of the balls is common to all players connected via the network. There is generally a 'game ending pattern' in which if some player completes it then balls quit drawing for all the other players. However with most manufacturers these game ending patterns are very hard to achieve so the element of competition is negligible. Unless the game ending pattern is achieved a certain number of balls are drawn, your cards are automatically daubed, and you are paid according the highest paying pattern you cover, and there are hundreds of patterns. A video representation of a slot machine is only to illustrate how much you have won. If done well, and they often are not, the games play almost just like a Vegas slot machine.
Thanks for the compliment. The answer depends on how the jackpot is determined by the bingo site. If it is a percentage of total cards sold, which is usually the case, then it wouldn’t make any difference. However, if there is a fixed prize for the winner, then it would be better to play one game at a time, lest you compete against yourself.
Yes, that is true. In some states like Oklahoma traditional “class 3” slots are illegal. A way to get around that law is to have a machine pick bingo cards and balls at random. Certain patterns will be mapped to certain wins and the outcome will be displayed to the player like a slot machine win. If done properly, and often they aren’t, the games play just like those in Vegas. If I recall correctly I saw some popular Williams slots like Reel ‘em In when I was at a casino in Tulsa, with just a little bingo card in the corner of the screen. Otherwise they looked the same to me. I don’t know what return they set their slots to in Oklahoma so I can’t help you with that question.
The probability two bingo cards have no numbers in common is (combin(10,5)/combin(15,5))4×(combin(11,4)/combin(15,4)) = 1 in 83,414. The probability two bingo cards have all 24 numbers the same is (1/combin(15,5))4×(1/combin(15,4)) = 1 in 111,007,923,832,371,000.
For the benefit of other readers, the Big 3 is a bingo side bet at all the Station Casinos and the Fiesta Rancho. The player is given a ticket, either paper or loaded into an electronic unit, with three random bingo numbers out of the 75 possible. If the first four bingo numbers called in that session contain all three of the player’s numbers, then the player will win a progressive jackpot. The jackpot starts at $1000 at grows by $200 a day until somebody wins. Every session, and property, has an independent jackpot.
The number of winning combinations is 72, because three of the balls must match, and the fourth can be any one of the other 72 balls. There are combin(75,4) = 1,215,450 possible combinations. Thus, the probability of winning is 72/1,215,450 = 0.000059. The player can buy 48 tickets for $10, thus the cost per ticket is 10/48 = 0.208333 dollars. The breakeven meter, where there is zero house edge, is (10/48)/(72/1,215,450) = $3,516.93.
Station Casinos indicate the Big 3 Jackpots on their Jumbo Bingo web site. There you will see the meter often will exceed $3517. When I answered this question on August 30, 2007, two of the eight properties had a player advantage, the Palace Station and Fiesta Rancho. This is one of the few bets in Las Vegas that often have a player advantage. Unfortunately, they limit the number of cards you can buy, making it not worth the bother to most people, including me, to make a special trip.
The cards are randomly printed, so if you purchased enough, you would get repeats. So there is no number where you would be assured of winning. The probability of each card winning is 0.00000000243814, or 1 in 410,148,569. Suppose you would be happy with a probability of winning of p, the number of cards you purchased is n, and the probability of winning per card is c. Let’s solve for n:
P = 1-(1-c)n
1-p = (1-c)n
ln(1-p) = n×ln(1-c)
n=ln(1-p)/ln(1-c)
For example, to have a 90% chance of winning you would need to buy ln(1-.9)/ln(1-0.00000000243814) cards, which equals 944,401,974.
Station Casinos offer free 'Mini X' bingo cards to their bingo players, according to how much they spend, as follows: Spend $1-$19 = 1 free card
Spend $20-$29 = 2 free card
Spend $30-$39 = 3 free card
Spend $40-$49 = 4 free card
Spend $50-$59 = 5 free cards
Spend $60+ = 6 free cards
Each card has five numbers, one for each letter in BINGO. The prizes are as follows:
Cover card in 5 numbers = $10,000
Cover card in 6 numbers = $3,000
Cover card in 7 numbers = $500
If nobody covers in 7 or less numbers, a consolation prize of $50 is paid to the first player to cover.
My question is what is the expected value of each card?The following table shows the value of the base prizes to be 1/5 of one cent per card.
Expected Value of Mini X Card
Calls | Pays | Probability | Return |
5 | 10000 | 0.00000006 | 0.00057939 |
6 | 3000 | 0.00000029 | 0.00086909 |
7 | 500 | 0.00000087 | 0.00043455 |
Total | 0.00000122 | 0.00188303 |
The value of the consolation prize per card is 50/n, where n is the number of competing cards. For example, if there were 1000 competing cards, then the value of the consolation prize per card would be 5 cents.
It depends on how many cards there are in play. Assuming c cards in play, a good approximation for the probability for at least one set of identical cards is 1-e(-c/471,000,000). For example, with 10,000 cards in play, which I think is about right for a Vegas bingo session, the odds of at least one set of identical cards are about 1 in 47,000. To have a 50/50 chance of at least one set of identical cards, you would need to have about 330 million cards in play.
I won four jackpots in six bingo games. The requirement to hit the jackpot was a coverall within 50 balls. The casino then refused to pay, claiming there was a malfunction, and threatened to take my $100 deposit money too. This doesn't seem fair. What is your opinion?
The probability of a coverall within 50 balls on any given game is 1 in 212,085. The probability of getting one four out of six games is 1 in 134,882,670,482,530,000,000. That sounds like a malfunction if there ever was one. I think the casino has a legitimate case to decline the jackpots, as the games obviously didn't perform properly. However, I think it is just thievery to take your deposit money. I also have to question the integrity of the game, if it could gaff a win like this. Makes me suspect the draw may not be fully random.
This question is raised and discussed in my forum at Wizard of Vegas.
The casino in Milwaukee, which started as a bingo hall, had a record 290 bingos in one game this week. The pattern was the letter I, either up and down (3 on top and bottom and all the Ns) or sideways (3 Bs and Os with the middle). It took 43 calls for the first G ball to be called, resulting in mass winners. Each person got $25.
Here is an article about it: Bingo! Record set at Potawatomi for number of winners in single game.
My question is what are the odds of going 43 calls without calling any numbers of a particular letter?
I've been in similar situations where most people were waiting on a particular letter, but the most winners I've ever seen at once is around 25.
I show the probability of going 44 calls and avoiding any one letter (not just G) is 1 in 1,517,276. Here is a formula to that probability: 5*combin(60,44)/combin(75,44) - combin(5,2)*combin(45,44)/combin(75,44)
In the document titled bingo pattern probabilities (PDF) on your site, you indicate the expected number of calls to find a winner, assuming 300 cards in play, is as follows:
- Four corners: 8.43
- Small diamond: 11.833
Both patterns require four marks only and have only one way to win. Why are the expected number of balls to find a winner different?
This is a difficult answer to explain. Let me start by saying that expected number of calls in a single-card game would be the same. However, there is a correlation effect with more than one card.
It's hard to give a quick answer to this one, but if forced, it's because the four corner pattern requires a concentration of balls in the B and O columns. The small diamond pattern is more likely to be hit with a flatter distribution of balls over the B, N, and O columns.
Let's simplify the game to one where there are an infinite number of cards in play and the balls are drawn WITH replacement. Here is the number of balls required to get a winner in both games:
- Four corners: 2.5+2.5+((1/2)*10+(1/2)*(2.5+5)) = 13.75
- Small diamond: =(5/3)+((1/3)*((5/3)+(5/2)+5)+(2/3)*((5/2)+((1/2)*((5/2)+5)+(1/2)*(5+5)))) = 12 + 2/9
This shows that the four corners takes 1.53 more balls.
Running this through a simultion under normal bingo rules, assuming infinite cards, here are the results:
- Four corners: 12.8289
- Diamond: 11.3645
This time a different of 1.46 balls.
What I hope to have shown is patterns are more likely to be covered quicker if the marks are distributed over more columns. For this reason, I think that in a single-bingo game you usually see the winning bingo is horizontal.
This question is asked in discussed in my forum at Wizard of Vegas.
Casinos have more slot machines than all of the other games combined. But unlike many casino games, the slots still have some secrets.
Looking to play slots online? Check out one of the sites above!
Here’s a list of 15 slot machine secrets the casinos don’t want you to know about.
1. Slot placement isn’t random
Although casinos would like you to think that everything on the floor is placed in a completely random way for ease of access and aesthetics, this certainly isn’t the case.
Every square foot of the casino is analyzed, measured, and reported on by the casino gaming department. Traffic patterns are monitored and value is placed on certain areas of the casino to determine which slots or games to place in that area.
Usually, the highest yield slots are placed in the most popular locations in the casino. On top of this, the most popular slots are also placed in these areas to attract players into the casino to play.
So now you know that those slots that are most prominent and visible are the ones that make the most money for the casino, which means they’re also the most disadvantageous for the player. Head towards the back of the casino next time you want to play slot machines to find a better value.
2. Some slots pay out more than others
Not all slot machines are created equal, and this means they all don’t pay out at the same rate.
Generally speaking, video slots pay out less than classic reel slots. This is because reel slots are cheaper to run and maintain, and aren’t as appealing to the player as the video slot.
Video slots are now extravagant and have pop-culture themes, which attracts more players. Because of this, the casinos can dial down the payout rate.
Alternatively, the classic slots aren’t as popular or appealing anymore so the casinos will dial up the payout rate to attract more players, and subsequently keep you at the slot longer. I suggest you do a bit of searching on the internet about slot payout rates as this information is widely available, particularly for popular gaming locations.
3. The slots club doesn’t exist to reward you
This is one of the biggest cons in the gambling industry. You know how the casinos promote themselves as giving back to the player and rewarding you for your play? This is all a lie.
Now, I’m not saying you won’t get some free play credits, access to promotions, and other comps for being a part of the slot or player’s club, but this isn’t why it exists. It exists to provide the casino marketing department with player data so that they can attract and retain you as a customer.
Yes, that’s right, all the free money and comps you get out of the casino are from the marketing department. They will analyze your play, movement, likes, dislikes, and betting patterns to determine how best to market themselves to you so that you return.
The slots club is a powerful marketing tool, and while it’s always a good idea to join and use your card whenever you play, don’t fool yourself into thinking that this is all done to reward you.
4. You can’t win at slots in the long run
People do win at slots all the time. They have big wins and small wins; the problem is that on a long enough timeline it’s impossible to win.
Slots are manufactured and programmed in a way to ensure that they only pay back a certain percentage of the money that’s placed into them by players. Usually, this is in the range of 70-90% but it can be far worse or better depending on where you’re playing.
No one would ever play if you didn’t win from time to time, so this is also built into the machines. Some casinos don’t want you to know this and in some US states, they don’t even have to tell you what the payout rate is. Fortunately, there are many states that do provide it to players, and I highly recommend taking advantage of that information.
Although it’s pretty common these days for players to know that you can’t win in the long run, some still don’t know, and those that are oblivious to this fact are loved by casinos.
5. Max betting is the best option
This one may seem counter-intuitive but it’s true. On most slots, max betting activates all the bonuses and jackpots and increases your odds of getting lucky and winning, which makes it the best option for players.
Although it doesn’t make too much of a difference, it still creates more favorable conditions for the player. The casinos don’t want you to know this because they want you to bet small and more often at a worse payout rate, which makes them more money in the long run.
One thing you certainly don’t want to do though is max-bet above your bankroll and burn through more money than you intended to. Playing more than you can afford to lose is playing right into the casino’s hands. If you can’t afford the max bet on a slot then drop down in denominations or move to a machine where the max bet is smaller and works within your bankroll.
6. Class 2 slots aren’t really slots at all
Sometimes you’ll come across slot machines that are classified as class 2 slots. These are usually found on native Indian reservations or racinos in the United States.
These aren’t traditional slots like what you would find in Las Vegas. Vegas slots are Class 3 slots and are proper slot machine games.
Class 2 slots are actually pre-programmed bingo games which present a slot face for entertainment purposes. Class 3 slots are usually illegal in the jurisdictions that have these slots bingo games, so game manufacturers and casinos combined their forces to come up with this alternative.
Sometimes you’ll see a small bingo card on the bottom corner of the screen which will straight away tell you that this is a class 2 slot machine. So, be warned, these machines are not slots at all and you’ll be effectively playing computer bingo when you start spinning on these.
7. Video slots pay out less than classic slots
Big fancy video slots will almost always pay out less than classic reel slots. This is because of the fact they’re more entertaining, draw more players and action, and cost the casinos a lot more to run and maintain.
These big machines often take up two to three times the amount of space compared to classic slots and tend to cost the casinos a lot more to keep them running. In order to maximize profits, the casinos will then dial down the payout rate on these machines so they still make enough money on them.
Immersive video slots are a huge moneymaker for the casino, so don’t go in thinking you have the same chance of winning on these compared to traditional old school slots. If you’re looking for better chances to win on slot machines, then stick to the classic slots.
8. Slots are completely random
Casinos don’t want you to know this, but slot machines are completely random in nature. Although they are weighted to pay out at a certain rate, this is still in line with the randomness of results that a slot will produce.
Each spin is completely independent of the previous spin. As an example, if you were to win the jackpot on one spin, then the likelihood of winning the jackpot on the next spin is exactly the same. No previous events impact future events. This isn’t how they work.
Casinos don’t want you to know this because they want you to think slots are “hot” or “cold”, because that will cloud your judgment in respect to how much you play and gamble. This works out better for them in the long run so they are happy for these myths to grow and spread.
9. All of your play is tracked
From the moment you sit down at a slot and enter your player card and cash, every movement you make is tracked automatically by the casino. Slot machines are now networked and have sophisticated hardware and software to track everything you do.
What Are Bingo Slot Machines
This information is collected, analyzed, and insight reports are developed and delivered to the casino marketing department so they can work out the best possible way to market their casino and slots to you so that you keep coming back and play more. If you don’t want your play tracked then simply don’t use your player’s card, but then you won’t get any casino comps.
In the near future, if it’s not being used already, casino marketing departments will start using security infrastructure to monitor and track your play irrespective of whether you use your card or not. Facial recognition programs will detect you, associate you with a player’s card or create a new player account and track everything you do on a video feed.
This is a bit scary and it shows the lengths casinos will go to. If you play online, everything is tracked under your player account, so it’s easier for online casinos to monitor what you do in this respect.
10. Payout tickets are more likely to be put back into a machine
Over the past 20 years, casinos have slowly phased out cash payouts at slots. These days you’ll likely receive a ticket when you cash out, which you then must take to a cash-out machine or the cage to exchange for cash.
While the casinos will claim this is for your convenience, one of the main reasons they’ve made this change is to disassociate you from the fact you’re holding money. This is similar to what they do with chips on table games.
Psychological studies have proven that people are far more likely to gamble more with a ticket or chips, as opposed to cash. So don’t be fooled into placing your ticket into another slot on the way to cashing out, they’ve done this on purpose. I’d recommend that you always cash the tickets out for cash every time, instead of keeping it for play later.
11. Slot arms don’t exist as much anymore because they slow down play
Back in the day, pretty much every slot machine had an arm, or lever, that you pull to activate the spin. These days it’s much harder to find machines that have these.
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While there are a few reasons for this, the main reason and the one the casinos don’t want you to know is because using a lever is much slower when compared to pressing a button. Casinos want you to be playing as quickly as possible when it comes to slots because the more you spin the more the odds move in their favor.
So by having buttons instead of levers the game moves a lot faster. Some may even say they’ve removed the lever so people don’t refer to slot machines as one-armed bandits anymore, but that may just be here-say.
12. Games are designed to be played as fast as possible
As we touched on in the previous secret, casinos want you to play whatever game you’re on as quickly as possible. While one of the main measurements on a slot is the time spent playing, they also want you to play as quickly as possible.
This increases the yield on the machine for the casino, meaning they make more money. Consider this, if you have a bank of widely popular slots which many people want to play, and it takes 20 seconds per spin, that’s quite a lot of time.
If a spin takes five seconds then you’re getting four times the amount of play on that machine which results in much more money passing through. So, all the time the casinos are trying to think of ways to make games happen much faster. They don’t want you playing slowly, so make sure you take your time next time you sit down at a slot. After all, the more time you play the more entertainment value you get.
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13. Slot sounds and graphics are designed to make you feel happy
One thing that casinos certainly don’t want you to know about is the fact that slot machine manufacturers have teams of psychologists and researchers that provide advice on what sounds, colors, movements and graphics to use in games in order to make the player feel as happy as possible.
This is both good and bad. Firstly, it’s good if you’re playing for entertainment’s sake and know your limits when it comes to how much money you’re willing to play with. If this is the case then why not play a game that’s designed to make you feel happy.
Secondly, it’s bad when it comes to problem gamblers who don’t know when to stop and are chasing that happy feeling that the games give them. So this is a two-way street; that’s for sure. Casinos probably don’t want you to know this because it isn’t a great look.
14. Sometimes a win isn’t a win
One recent trend on slots is to play a jingle and show an animation showing that a player has had a win; this used to be a good thing and it meant you were making a profit, but not so much these days.
Much to the ire of lawmakers and the regulators, slot machines now play this jingle and imply a win, even when the spin results in less money won than you actually wagered on that spin in the first place. So this is essentially a loss and it’s trying to trick the player into thinking that they won.
Regulators are trying to have this outlawed but it will take some time. So, next time you’re playing don’t be fooled by the animation and sounds and the on-screen advice that says you’ve had a win. Make sure you check how much you ‘won’ when compared to how much you bet, before you celebrate.
15. Major progressive jackpots are played across multiple venues
Have you ever walked past a progressive jackpot slot machine and stared in awe at the huge jackpot which is currently available and is running into the millions of dollars?
If so, then you may not be aware that these slots are actually linked nationwide and the jackpot is played across thousands and thousands of machines and the casinos actually have no part in this prize.
Casinos don’t want you to know this of course; they want you to think that it’s just that machine so that you sit down and play and spin away thinking that you’re the only person who could possibly win that prize at that time.
These major progressive jackpot machines actually take a small cut from each bet you make and divert it to the major jackpot. So you should never play on one of these unless your ultimate goal is to win the life-changing money, and there’s certainly nothing wrong with that.
How Bingo Slot Machines Work
Conclusion
Casinos are designed to make money just like any business. The slot machines are a big piece of the profit puzzle so the casinos do everything they can to make them more profitable.
Should You Change Bingo Card On Slot Machine Without
Now that you know these 15 slot machine secrets the casinos don’t want you to know you can gamble as an informed player. If you love slots there’s no reason to stop playing, but you should know these secrets before you play again.