Keno Odds Calculator
- Odds Of Winning Keno
- Keno Odds Chart
- Keno Payout Chart
- Which Keno Game Has The Best Odds
- Keno Probability Calculator
- Keno Odds Calculator
There are several variations to the game of keno, but one of the more interesting ones is Caveman Keno. The game is part of the IGT Game King machines. While some keno games can be static with their display, Caveman Keno is a little different. This game offers.
- Having chosen a Ten Spot Keno game, we can now calculate all the true odds and probabilities that are valid for this type of game. We will also use some model or possible pay table, which is the last element to enable us calculate the house edge (based on this model pay table). As the pay tables vary from casino to casino, so does the house edge.
- The keno cards and layouts of the games can change from one version to another, so get a good handle on any of the differences by playing for free before betting real money on a cash game. Most of the world’s best online casinos will ensure registered players have the option to try games for free.There, you can ensure you actually enjoy the aesthetic of the keno variant before kicking off.
- There are specific odds for matching up to 10 numbers in keno. For example, when players select 1 number on their keno card, the odds of a match occurring during a drawing are 1 in 3. The odds of being able to match up to 10 numbers are as follows: Matching 1 Number – 1 in 3.
- Prize value based on $1 wager. For wagers over $1, multiply the prize amount by the amount wagered. Check your ticket's validation with our 180 Day Calculator. For more information, call 1-800-686-4208. KENO Booster® Keno Booster may increase your winnings up to 10 times! At the top of every KENO bet card is a Booster option.
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Find out all the great Keno prizes available to be won and the odds of winning them.
Prizes and odds of winning: Keno main draw
Match your Keno numbers to the numbers drawn to see if you win. Your prize will depend on how many numbers you picked and how many numbers you matched.
| Numbers Picked | Numbers Matched | Prize Amount (for each $1 play) | Odds* |
|---|---|---|---|
| 1 | 1 | $2 | 1 in 4 |
| 2 | 2 | $10 | 1 in 17 |
| 3 | 3 | $25 | 1 in 73 |
| 2 | $2 | 1 in 8 | |
| 4 | 4 | $50 | 1 in 327 |
| 3 | $5 | 1 in 24 | |
| 2 | $1 | 1 in 5 | |
| 5 | 5 | $500 | 1 in 1,551 |
| 4 | $15 | 1 in 83 | |
| 3 | $2 | 1 in 12 | |
| 6 | 6 | $1,500 | 1 in 7,753 |
| 5 | $50 | 1 in 324 | |
| 4 | $5 | 1 in 36 | |
| 3 | $1 | 1 in 8 | |
| 7 | 7 | $5,000 | 1 in 40,980 |
| 6 | $150 | 1 in 1,366 | |
| 5 | $15 | 1 in 116 | |
| 4 | $2 | 1 in 20 | |
| 3 | $1 | 1 in 6 | |
| 8 | 8 | $15,000 | 1 in 230,115 |
| 7 | $400 | 1 in 6,233 | |
| 6 | $50 | 1 in 423 | |
| 5 | $10 | 1 in 55 | |
| 4 | $2 | 1 in 13 | |
| 9 | 9 | $25,000 | 1 in 1,380,688 |
| 8 | $2,500 | 1 in 30,682 | |
| 7 | $200 | 1 in 1,691 | |
| 6 | $25 | 1 in 175 | |
| 5 | $4 | 1 in 31 | |
| 4 | $1 | 1 in 9 | |
| 10 | 10 | $200,000 | 1 in 8,911,712 |
| 9 | $10,000 | 1 in 163,382 | |
| 8 | $500 | 1 in 7,385 | |
| 7 | $50 | 1 in 621 | |
| 6 | $10 | 1 in 88 | |
| 5 | $3 | 1 in 20 | |
| 0 | $3 | 1 in 22 |
* Approximate Odds
More Information
The maximum prize that can be won on any one Keno ticket, not including Keno Bonus, is $200,000, regardless of the amount wagered. The maximum combined liability for a given draw is $2 million. If you've won a prize of $2,000 or more, the earliest you can claim your prize is the day after the draw.
Prizes and odds of winning: Keno Bonus Draw
| 1.5x | 2x | 5x | 7x | 10x | |
|---|---|---|---|---|---|
| Odds | 1 in 2.0 | 1 in 2.2 | 1 in 24.7 | 1 in 49.4 | 1 in 346 |
* Approximate Odds
More Information
The maximum prize that can be won on a Keno ticket with Keno Bonus for any given draw is 10 times the value of the Keno prize. If you've won a prize of $2,000 or more, the earliest you can claim your prize is the day after the draw.
Prizes and odds of winning: Keno Pattern Play
Match your 40 Keno Pattern Play numbers to the numbers drawn to see if you win.
| Numbers Matched | Prize Amount | Odds* / $2 Play |
|---|---|---|
| 20 or 0 | $50,000 | 1 in 12,823,377 |
| 19 or 1 | $25,000 | 1 in 336,614 |
| 18 or 2 | $2,000 | 1 in 19,988 |
| 17 or 3 | $400 | 1 in 2,016 |
| 16 or 4 | $50 | 1 in 308 |
| 15 or 5 | $15 | 1 in 67 |
| 14 or 6 | $5 | 1 in 20 |
| 13 or 7 | $3 | 1 in 8 |
* Approximate Odds
Know how the game works and what the odds are before playing.
The more you know about the games, the better equipped you are to make informed decisions when you play.
Learn more about the odds at GameSense.com.
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 |
Odds Of Winning Keno
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)! |
Keno Odds Chart
Calculating the House Advantage in Keno
Keno Payout Chart
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 | |
Which Keno Game Has The Best Odds
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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.
Keno Probability Calculator
Playing Keno at the online casinos listed here allows you to make the most out of all of your free time. You can play Keno and all of your favorite online casino games right in your own home. The software on our chosen sites will give you bright, sharp graphics and sound quality for a real casino feel that puts you right in the action. Start playing now and take advantage of the great sign-on bonuses offered by these sites to get free money added to your account right away.