Keno Odds Calculator Australia
Keno and Lottery Number Combinations Permutation Calculator. Synopsis: Create different combinations or permutations with this free online lotto and Keno numbers calculator. Shuffle your favorite lucky Keno and/or lottery number combinations ready to fill in your tickets. Author: Disabled World Contact: Disabled World (www.disabled-world.com). In keno, the casino picks 20 balls from a set of 80 numbered 1 to 80. Before the draw is over, you are allowed to choose 10 balls. What is the probability that 5 of the balls you choose will be in the 20 balls selected by the casino? My attempt: The total number of combinations for the 20 balls is $80choose20$. However, I get stuck at the. Receive your forum code, plain text or view your hands in our replayer and share with your friends! Welcome to CardsChat’s free Poker Hand Replayer! Use our hand converter to transform your hand. In Australia, keno retail outlets include pubs, TABs, RSLs, petrol stations, news agencies and convenience stores. If playing online, this is all done through your computer or mobile, with Raging Bull Casino being our top-rated casino site for keno players from United States. For more excellent online casinos offering real money keno games to.
Even if you’ve never set foot in a casino, there’s a strong chance that you’ve still played a few games of keno. That’s because this popular game of chance is the pattern for most state and national lotteries, allowing players to become instant millionaires simply by picking a few numbers at random.
Unfortunately, keno odds and probability are some of the lowest in the casino. While this might discourage hardcore advantage players, more casual casino patrons still enjoy the thrill of parlaying a modest bet into a small fortune. You’ll have a hard time finding a casino that doesn’t offer keno, which is a testament to its enduring popularity and profit potential.
This article is intended to give you a better understanding of keno odds, as well as familiarize you with the basic rules of the game. A few surprises will also be thrown in along the way, so even the most jaded veteran should walk away with some new information.
The Rules of Keno
Keno is a simple game to understand, as it involves picking a series of numbers and then hoping that those same numbers are drawn by the casino. In live games of keno, the player’s desired numbers are marked on a slip of paper, while video keno allows participants to select their digits on a screen.
The available numbers range from 1 to 80, although the specific type of game determines how many numbers the player may choose; this usually ranges from 2 to 10 or 1 to 15. When it’s time for the drawing, 20 numbers are selected at random by the casino. These numbers are compared to the selections made by the player, and payouts are based on the number of matches.
Microgaming Keno
When it comes to playing keno online, we always gravitate towards Microgaming casinos. In addition to offering solid payouts and reliable service, Microgaming also happens to power our two favourite online gaming destinations: Platinum Play and Royal Vegas. We especially like Platinum Play for my keno needs, as they feature a handy guide to teach you about the game, as well as 1500 free pokie spins.
The standard version of Microgaming keno offers the following betting denominations: $1, $2, $5, and $10. Players choose from 1 to 15 numbers, and then press the “play” button to cause 20 balls to be selected randomly. The amount of numbers selected determines the payout, and the following are the winning multiples when 15 numbers are selected: x0.5 for 3 or 4 numbers; x1 for 5 numbers; x2 for 6; x5 for 7; x15 for 8; x50 for 9; x150 for 10; x300 for 11; x600 for 12; x1200 for 13; x2500 for 14; x10,000 for 15. The keno odds for hitting all 15 numbers are poor, but getting a 10,000 multiplier on a $10 bet is hard to ignore.
Standard Keno Odds
While we’ll be discussing alternate versions later in the article, this section is devoted to the odds for a standard game of keno (especially those at land-based casinos). If a player selects 20 numbers on a ticket, their chances of getting a catch (also known as a “match”) on each of the 20 balls drawn are as follows:
- 0 catches – 1 in 843.380
- 1 catch – 1 in 86.446
- 2 catches – 1 in 20.115
- 3 catches – 1 in 8.009
- 4 catches – 1 in 4.877
- 5 catches – 1 in 4.287
- 6 catches – 1 in 5.258
- 7 catches – 1 in 8.826
- 8 catches – 1 in 20.055
- 9 catches – 1 in 61.420
- 10 catches – 1 in 253.801
- 11 catches – 1 in 1,423.822
- 12 catches – 1 in 10,968.701
- 13 catches – 1 in 118,084.920
- 14 catches – 1 in 1,821,881.628
- 15 catches – 1 in 41,751,453.986
- 16 catches – 1 in 1,496,372,110.872
- 17 catches – 1 in 90,624,035,964.712
- 18 catches – 1 in 10,512,388,171,906.553
- 19 catches – 1 in 2,946,096,785,176,811.500
- 20 catches – 1 in 3,535,316,142,212,173,800.000
No player in history has ever hit on all 20 numbers. In fact, if every person currently alive on the planet played a game of keno every second of their lives, there would only be one winner.
Keno Variants and Probability
The following are some of the keno variants you’ll encounter online or in land-based casinos. We’ve also included the probabilities for winning at these games so you can compare them to standard keno.
Top Bottom Keno – Players choose numbers from the top or bottom half of the keno board and receive payouts based on the number of catches. The probability of getting either zero or 20 catches are the same: 0.00000004. The best probability involves 10 catches, with a probability of 0.20324303.
Triple Power Keno – Featured in some land-based casinos, this version of the game offers a unique twist. If the last ball drawn matches a player’s pick, the player receives three additional balls and triples their normal winnings. The probability of getting zero catches on a Pick 10 game are 0.0523322, while two catches offers the best chance at 0.3036927.
Power Keno – This version plays just like traditional keno, except that the last ball drawn plays a special role. If the 20th ball matches one of the numbers selected by the player, all their winnings are quadrupled. Playing the Pick 2 option provides a 0.37974684 probability of matching one number, while the chances of getting half the numbers on a Pick 10 are 0.05142769.
Super Keno – If the first ball drawn matches one of the player’s numbers, any win will be quadrupled. The Pick 10 version of the game carries a 0.17957138 probability of matching one number, while the chances of catching all 10 digits are 0.00000011.
Keno odds and probability are less than generous, but that doesn’t stop people from playing the game in droves. The chance to become an instant millionaire is always a temptation, and even a lesser win can still result in a respectable payday.
Land-based casinos offer keno drawings every few minutes, but we prefer playing keno online. These establishments serve up instant games to anyone who’s willing to wager money and press a button. While this style is more convenient for the player, it’s also cheaper than spending money on gas and airfare for a trip to the nearest brick-and-mortar casino.
Virginia Keno Odds
See also:
Odds and Probabilities in Keno
There are 2 equivalent formulas using combinations to calculate probabilities for the game of Keno.
The two variables involved in the calculation are:
- n = Number of selections made by player
- k = How many of the player's selections match the drawn numbers.
1) The following formula uses the total number of combinations (i.e. denominator) from the houses point of view. There are 80C20 ways for the house to draw 20 from 80 numbers.
| Probability(n, k) = | nCk x (80-n)C(20-k) |
| ----------------------- | |
| 80C20 |
2) The following formula uses the total number of combinations (i.e. denominator) from the players point of view. There are 80Cn ways for the player to draw n from 80 numbers.
| Probability(n, k) = | 20Ck x 60C(n-k) |
| ----------------------- | |
| 80Cn |
3) Both of the above equations can be reduced to the same equation involving factorials given below.
| aCb = | a! |
| --------------- | |
| b! x (a - b)! |
Therefore:
| Probability(n, k) = | 60! x 20 ! x n! x (80 - n)! |
| ---------------------------------------------------- | |
| 80! x k! x (20 - k)! x (n - k)! x (60 - n + k)! |
Calculating the House Advantage in Keno
To calculate the return to the player, sum the returns (equal to probability multiplied by the pay-out) for each possible outcome. The house advantage is determined by subtracting the return to the player from the bet amount and is usually expressed as a percentage. The table below calculates the player's return using formula 2 above for the Spot 9 pay outs given in the example section of the Standard Rules page. The house advantage in this case is 100 x ($1 - $0.669665) = 33.03%.
| Result Details | ||||
|---|---|---|---|---|
| Match | Collect ($) | Frequency | Probability (%) | Return |
| 0 | 0.00 | 14,783,142,660 | 6.374783835335 | 0.0000000000 |
| 1 | 0.00 | 51,172,416,900 | 22.066559430007 | 0.0000000000 |
| 2 | 0.00 | 73,379,314,800 | 31.642613522274 | 0.0000000000 |
| 3 | 0.00 | 57,072,800,400 | 24.610921628435 | 0.0000000000 |
| 4 | 1.00 | 26,461,025,640 | 11.410518209547 | 0.1141051821 |
| 5 | 5.00 | 7,560,293,040 | 3.260148059871 | 0.1630074030 |
| 6 | 20.00 | 1,326,367,200 | 0.571955799977 | 0.1143911600 |
| 7 | 210.00 | 137,210,400 | 0.059167841377 | 0.1242524669 |
| 8 | 2,500.00 | 7,558,200 | 0.003259245500 | 0.0814811375 |
| 9 | 100,000.00 | 167,960 | 0.000072427678 | 0.0724276778 |
| Total | 231,900,297,200 | 100.000000000000 | 0.669665027234 | |
Related Pages
Video Keno Odds Chart
Keno is fast and fun. It is a lottery style card game that players can enjoy as a break from the strategy and skill needed to play poker online. If you are short on time, but want a game that offers huge potential rewards then Keno is the game to play. The best way to take advantage of Keno's chance-based platform is to know what the odds are for each selection (our Keno odds calculator can help with that). Keep this page handy while you are playing Keno so you get the best chances of winning. Start playing right now by selecting an online casino from our reviews here on ReviewPokerRooms. We list the top-rated online casinos that offer the highest internet security encryption and 24/7 customer service so you always have the help you need at any time of the day or night.
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