Keno Odds Calculator Australia
Odds and Probabilities in Keno
No one expects you to predict all 20 numbers. In fact, the odds of choosing the exact 20 winning numbers at the end of a keno game are so remote (a little worse than 1 in 3.5 quintillion) that most casinos don’t even have a pay scale for correctly predicting all 20. . 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.
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)! |
Keno Odds Calculator Australia
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 - $0.669665) = 33.03%.
Video Keno Odds Chart
| Result Details | ||||
|---|---|---|---|---|
| Match | Collect ($) | 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
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.
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.