What Are The Odds Of Winning At Keno
Keno Odds to Win. On the whole, the best range for your ticket is between one and six numbers, with your payouts increasing slightly. While you could match more than that, it. To win the KENO top prize you must match 10 of the 20 numbers drawn by the Ohio Lottery from a pool of 1 - 80 numbers. Can I win other prizes besides the top prize? Yes, you win by matching your selected number(s) to the 20 numbers drawn by the Lottery. See the Odds & Payout link for winning combinations of matching numbers. What is Booster?
- 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.
- Shop Around for the Best Keno Odds and Prizes. You cannot play every possible variation of keno in.
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 - $0.669665) = 33.03%.
What Are The Odds Of Winning At Keno Lottery
| Result Details | ||||
|---|---|---|---|---|
| Match | Collect ($) | 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.
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