Bingo Slot Machines Odds
MODERN SLOT ODDS. Today’s slot machines don’t just have 10 numbers per reel, and most modern video games, both in casinos and online, have five reels instead of three.Game designers and programmers are dealing with hundreds, and even thousands of symbols, stops or random numbers per reels. Here are some factors that go into modern slot odds. Slot machine video from casino expert Steve Bourie that teaches you the insider secrets to winning at slot machines and how a slot machine really works. There is approximately a 1% chance of hitting the right bingo pattern and winning on Class 2 slot machines. Along with striking the winning pattern, consolation prizes are given throughout the play and this can form up to 70% to 80% of payouts. These odds means that the house edge is approximately 20%.
- Bingo patterns, rules, odds and online bingo halls. Here is where you find a selection of articles about bingo to help you jumpstart your online bingo games - from an introduction to bingo rules, origins and bingo patterns, to great tips on suggested websites to play bingo on the Internet.
- Play 5 percent of your bankroll on each bet. For instance, let's say your bankroll is $500. Using this system, that means that you will bet $25 the first time. A $5 slot machine usually takes five coins or tokens. Should you win, go to a higher-value machine and bet 5 percent of the new total.
- Calculating bingo odds is similar to calculating keno odds. From a probability standpoint, bingo is basically a game of keno where you don't win anything for partial matches. Of course, I am solely talking about the probability of matching a particular pattern as opposed to winning a game of bingo because the probability of winning a bingo game.
- Your chances of winning at a slot machine game are random, and there’s nothing you can do to affect the outcome on any specific game. Here are some specific myths we’ve seen touted on the Internet, along with an explanation of why each one is misinformation. Some times of day are better than others. This isn’t true.
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.
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
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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.
Slot Machines With Best Odds
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.
Players who prefer slot machines to other casino games do not gamble simply for profit, but they also want to have a good time playing. So in order to play the game for longer and benefit from your favorite slot games we recommend you to follow some slots tips that have been developed by experienced players. They will help not to lose at slot machines or online slots of different types and become a real long-term winner regardless the size of the bankroll.
Quick Slot Tips
If you are going to visit a land or online casino to get the rush and thrill of slot machines do not forget to follow some basic slot recommendations. Even if you do not use any special slot machine strategies you can still end up a winner every time you gamble. So, below we explain some do's and don'ts when you play slots.
DOs | DON'Ts | ||
1. | Manage your bankroll and stick to betting limits. | 1. | Try to win lost money back. |
2. | Bet Max at progressive slots. | 2. | Play high-roller slots with a small bankroll. |
3. | Choose loose slots with high payback percentages. | 3. | Believe in slots myths about cold and hot machines. |
4. | Look for extra slot bonuses and casino comps. | 4. | Play traditional slots with minimum features. |
5. | Study paytables and choose slots with the highest payouts. | 5. | Play at first slot machine you find at a casino. |
6. | Relax and have fun when playing slots. | 6. | Get frustrated or angered when you lose a spin. |
Advanced Slot Tips
Now let's consider all the slots tips in more detail. The following advanced recommendations from the real pros are not obligatory but are considered to be the most effective methods of winning when playing online and offline.
1. Manage your bankroll.
To built up a gaming strategy, the slot player must first of all decide on the bankroll and the size of bets. The smartest tips are to stretch the betting amount, pocket all the winnings, know when to stop and never try to win money back, because you can lose even more.
2. Set up betting limits.
Choose the slot machine according to your bankroll and betting limits. Remember, slots is a gambling game, therefore make sure you treat it wisely and choose a machine according to the amount of money you can afford to wager. Otherwise you risk to reach the 'quit point' very fast.
Bingo Slot Machines Odds Slot Machines
3. Bet Max at progressive slots.
When playing at the progressive slot machines, bet the maximum amount of coins and bet on all the paylines. It will be a pity if you have the best combination but don't win the jackpot because you haven't Bet Max.
4. Look for extra slot bonuses.
Choose a machine with extra bonuses and special offers such as bonus free spins or bonus rounds. Such games are not only fun but also provide more chances of winning cash.
5. Play only loose machines.
Not all slot machines are based on the same RNG, therefore always look for loose slot machines with the highest payback. Most casinos advertise the slots payback percentages. However, if you cannot figure out the payback statistics remember that as a rule $5 (or higher) slot machines provide the highest paybacks of up to 99%.
6. Practice slots for free.
Before playing for real money, practice a lot in order to know all the game options and learn how to win at slots. You can try our free slots or play slot games in fun mode at online casinos.
7. Check the paytable before the game.
Carefully study the slots paytable before you play to make sure that you know which combinations will win you money and to have an idea of what you are paid out for. Don't rush to play at the first machine you see but look for the slots with the highest payouts.
8. Don't believe in slots myths.
Do not believe in the widespread slots myths. Don't forget that there is no such thing as a hot or cold machine, therefore pick the one you like and enjoy the game. Remember also that there is no 100% effective system of beating slots and any strategies offered you for buying are useless.
9. Benefit from slots comps.
Most casinos provide casino comps for slot players in the form of free lunches and dinners, hotel rooms, tickets, bonuses, etc. In such way you can save money for playing rather than spend big sums on accommodation and meals.
10. Ask the professionals.
In case you have any questions about the rules, payouts, bonuses or other options, feel free to ask the casino support as they are there for you 24/7.