What Are The Odds Of Winning At Keno
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The player wins the jackpot if all six numbers match (order does not matter). If you don’t know the probability of winning per game is 1 in 13,983,816 then you need to review the combinatorial function before going further. In keno the casino, or game machine, will draw 20 numbers out of 80, without replacement.
It will depend on how many picks you made, how many winning numbers you landed, how many numbers are drawn, and the keno variant you are playing. Keep in mind that every game of keno is slightly different. Remember that this is a game of chance. It’s not a wise idea to try and make a living playing 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. . 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.
Keno can be very versatile in terms of pay table and house edge. Also, it depends largely on the maximum number of spots that players can choose and attempt to ’hit’ or ’catch’. It is typically limited to 10, 12 or 15 numbers (spots), but it can also be 20 numbers right away. One thing is always the same, there are 20 winning numbers drawn out of the total 80. Let us put the most typical 10-Spot Keno variation under the microscope and follow some concrete calculations.
This web page is a follow-up to the general Keno rules. Of course you can find there some interesting calculations as well. This time we pick up the most typical Keno variation with 10 spots. Thus the top prize is paid out if a player manages to guess 10 numbers out of the 20 numbers drawn.
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.A Model Paytable
Let us start with the pay table. Table 1 shows the payout ratios (the multiples) for all combinations of spots and successful hits. If you e.g. tried to catch 10 numbers and succeeded to hit them all, you would receive $200,000 for a $1 ticket. If you were less successful and hit ’only’ 9 of 10, the win would be $10,000 and so on. You can see that if you attempted to hit 10 to 6 numbers and hit no number, your bet would be returned.
The color key is simple. The payouts in green are winning, those in bright red are losing. The same logic is used for the remaining tables related to probability, odds and house edge as well.
Table 1 – A model 10-spot Keno pay table
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Note: The model pay table was actually borrowed from the Czech lottery game Šťastných 10 (meaning ’Lucky 10’ in English), which is virtually a ten spot Keno game that fits perfectly for our needs. The calculations of odds and probabilities below are 100% valid for any ten spot Keno game. The model pay table will also be used demonstrate the calculation of the house edge (see Table 4, but let us not skip over).Ten Spot Keno Probabilities & Odds
The probabilities for all combinations of spots and hits are shown at the Table 2. It is a very valuable source of information. First of all, as always, the total of probabilities in a column must equal one (or 100% if you like). Then you can see, which outcomes are the most probable. For instance if you chose to catch 10 numbers, the most probable outcome would be hitting 2 numbers out of 10 (0.2953 or 29.53% to be exact).Mass Keno Odds
You can also sum up the green values in a column to arrive at a winning (or actually ’not losing’ probability, because if you manage to catch zero numbers your bet will only be returned), in case of the 10-spot ticket it is 0.1105 or 11.05%. Now you can sum up the red values or deduct the winning probability from 1 or 100% and you get the probability to lose 0.8895 or 88.95%.
Table 2 – Ten spot Keno probabilities
For an exhibit we can calculate the probability of the least probable outcome, that is to catch all 10 numbers out of 10 (please note that for space purposes there are only 7 digits displayed in the Table 2). We already know that probability can be defined as the number of positive possibilities (the nominator) divided the total number of possibilities (the denominator).
It is easier to determine all possibilities (combinations) – they are the same for all-spot Keno games. We may use the Excel function =COMBIN(80,20) and get the result of 3,535,316,142,212,180,000 combinations (the denominator). To calculate the number of all winning possibilities is a bit harder as we have to catch 10 numbers out of 10, but there are 20 winning numbers drawn out of 80. Thus, with the use of Excel, the nominator is the following: =COMBIN(10,10)*COMBIN(80-10,20-10) = 396,704,524,216.
Now we can put it together and calculate the probability to get the top prize in ten spot Keno. That is so close to zero that it is almost impossible:
396,704,524,216 ÷ 3,535,316,142,212,180,000 = 0.000000112211895134156 or 0.0000112211895134156%.
You may think that the standalone probabilities in the Table 2 are not enough to decide whether they are that good or that bad. And you would be right. They need to be matched with the payouts. That is the only fair way to assess it and that is actually how the house edge is being calculated. But let us not jump forward.What Are The Odds Of Winning At Keno Games
First we can have a look at Table 3, the odds. They are just another and perhaps better-arranged presentation of the probabilities (the relation is: Odds = One divided Probability).
Table 3 – Ten spot Keno odds or the probability in the format ’1 in ..’10-Spot Keno House Edge
The calculation of house edge in ten spot Keno is simpler as it seems. We will determine it based on the concept of expected value. We will take the net payouts from the Table 4 and the probabilities from the Table 2. The procedure to arrive at the expected outcome is as follows: the net payouts are simply multiplied (weighted) by the probabilities and added up.
Lucky club casino no deposit bonus. Table 4 – Ten spot Keno net payouts (considering the $1 invested in the game) Blackjack pairs strategy.
Let us take e.g. a ten spot column as an example and suppose we bet a dollar. We may win $199,999 netto with the probability 0.000000112211895134156, so the partial expected outcome is 199,999 × 0.000000112211895134156 = approx. 0.0224 (see the coordinates 10×10 in the Table 5). Now we slide a row down, that is to hitting 9 out of 10 and the net win $9,999 with the probability 0.0000061 and the next partial expected outcome is approx. 0.0612 (due to rounding) and so on. Then we add up all partial results and get the value –0.5016 or –50.16%. That is quite high compared to Craps for instance (<2%).
Table 5 – Ten spot Keno house edge
The expected outcome for a player is negative. It is no surprise as it is the essence of all gambling and lottery games. House gets what a player loses—that is where the house edge comes from. Thus if you played 10 spot Keno with this pay table (Table 1), then, in the long run, you would likely lose about 50 cents per each dollar wagered in the game.
It is needed to highlight, however, that the expected value is related to the long-term period and that it does not mean that you could not be lucky enough to win the top prize with your first Keno ticket. It is just a lottery. You mostly lose, but if you win it is usually worth it.
→ Lottery Games
→ EuroJackpot
→ EuroMillions
→ Keno
→ Mega Millions
→ 10-spot Keno
→ Powerball
→ Scratch Cards
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The player wins the jackpot if all six numbers match (order does not matter). If you don’t know the probability of winning per game is 1 in 13,983,816 then you need to review the combinatorial function before going further. In keno the casino, or game machine, will draw 20 numbers out of 80, without replacement.
It will depend on how many picks you made, how many winning numbers you landed, how many numbers are drawn, and the keno variant you are playing. Keep in mind that every game of keno is slightly different. Remember that this is a game of chance. It’s not a wise idea to try and make a living playing 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. . 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.
Keno can be very versatile in terms of pay table and house edge. Also, it depends largely on the maximum number of spots that players can choose and attempt to ’hit’ or ’catch’. It is typically limited to 10, 12 or 15 numbers (spots), but it can also be 20 numbers right away. One thing is always the same, there are 20 winning numbers drawn out of the total 80. Let us put the most typical 10-Spot Keno variation under the microscope and follow some concrete calculations.
This web page is a follow-up to the general Keno rules. Of course you can find there some interesting calculations as well. This time we pick up the most typical Keno variation with 10 spots. Thus the top prize is paid out if a player manages to guess 10 numbers out of the 20 numbers drawn.
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.A Model Paytable
Let us start with the pay table. Table 1 shows the payout ratios (the multiples) for all combinations of spots and successful hits. If you e.g. tried to catch 10 numbers and succeeded to hit them all, you would receive $200,000 for a $1 ticket. If you were less successful and hit ’only’ 9 of 10, the win would be $10,000 and so on. You can see that if you attempted to hit 10 to 6 numbers and hit no number, your bet would be returned.
The color key is simple. The payouts in green are winning, those in bright red are losing. The same logic is used for the remaining tables related to probability, odds and house edge as well.
Table 1 – A model 10-spot Keno pay table
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Note: The model pay table was actually borrowed from the Czech lottery game Šťastných 10 (meaning ’Lucky 10’ in English), which is virtually a ten spot Keno game that fits perfectly for our needs. The calculations of odds and probabilities below are 100% valid for any ten spot Keno game. The model pay table will also be used demonstrate the calculation of the house edge (see Table 4, but let us not skip over).Ten Spot Keno Probabilities & Odds
The probabilities for all combinations of spots and hits are shown at the Table 2. It is a very valuable source of information. First of all, as always, the total of probabilities in a column must equal one (or 100% if you like). Then you can see, which outcomes are the most probable. For instance if you chose to catch 10 numbers, the most probable outcome would be hitting 2 numbers out of 10 (0.2953 or 29.53% to be exact).Mass Keno Odds
You can also sum up the green values in a column to arrive at a winning (or actually ’not losing’ probability, because if you manage to catch zero numbers your bet will only be returned), in case of the 10-spot ticket it is 0.1105 or 11.05%. Now you can sum up the red values or deduct the winning probability from 1 or 100% and you get the probability to lose 0.8895 or 88.95%.
Table 2 – Ten spot Keno probabilities
For an exhibit we can calculate the probability of the least probable outcome, that is to catch all 10 numbers out of 10 (please note that for space purposes there are only 7 digits displayed in the Table 2). We already know that probability can be defined as the number of positive possibilities (the nominator) divided the total number of possibilities (the denominator).
It is easier to determine all possibilities (combinations) – they are the same for all-spot Keno games. We may use the Excel function =COMBIN(80,20) and get the result of 3,535,316,142,212,180,000 combinations (the denominator). To calculate the number of all winning possibilities is a bit harder as we have to catch 10 numbers out of 10, but there are 20 winning numbers drawn out of 80. Thus, with the use of Excel, the nominator is the following: =COMBIN(10,10)*COMBIN(80-10,20-10) = 396,704,524,216.
Now we can put it together and calculate the probability to get the top prize in ten spot Keno. That is so close to zero that it is almost impossible:
396,704,524,216 ÷ 3,535,316,142,212,180,000 = 0.000000112211895134156 or 0.0000112211895134156%.
You may think that the standalone probabilities in the Table 2 are not enough to decide whether they are that good or that bad. And you would be right. They need to be matched with the payouts. That is the only fair way to assess it and that is actually how the house edge is being calculated. But let us not jump forward.What Are The Odds Of Winning At Keno Games
First we can have a look at Table 3, the odds. They are just another and perhaps better-arranged presentation of the probabilities (the relation is: Odds = One divided Probability).
Table 3 – Ten spot Keno odds or the probability in the format ’1 in ..’10-Spot Keno House Edge
The calculation of house edge in ten spot Keno is simpler as it seems. We will determine it based on the concept of expected value. We will take the net payouts from the Table 4 and the probabilities from the Table 2. The procedure to arrive at the expected outcome is as follows: the net payouts are simply multiplied (weighted) by the probabilities and added up.
Lucky club casino no deposit bonus. Table 4 – Ten spot Keno net payouts (considering the $1 invested in the game) Blackjack pairs strategy.
Let us take e.g. a ten spot column as an example and suppose we bet a dollar. We may win $199,999 netto with the probability 0.000000112211895134156, so the partial expected outcome is 199,999 × 0.000000112211895134156 = approx. 0.0224 (see the coordinates 10×10 in the Table 5). Now we slide a row down, that is to hitting 9 out of 10 and the net win $9,999 with the probability 0.0000061 and the next partial expected outcome is approx. 0.0612 (due to rounding) and so on. Then we add up all partial results and get the value –0.5016 or –50.16%. That is quite high compared to Craps for instance (<2%).
Table 5 – Ten spot Keno house edge
The expected outcome for a player is negative. It is no surprise as it is the essence of all gambling and lottery games. House gets what a player loses—that is where the house edge comes from. Thus if you played 10 spot Keno with this pay table (Table 1), then, in the long run, you would likely lose about 50 cents per each dollar wagered in the game.
It is needed to highlight, however, that the expected value is related to the long-term period and that it does not mean that you could not be lucky enough to win the top prize with your first Keno ticket. It is just a lottery. You mostly lose, but if you win it is usually worth it.
→ Lottery Games
→ EuroJackpot
→ EuroMillions
→ Keno
→ Mega Millions
→ 10-spot Keno
→ Powerball
→ Scratch Cards
Register here: http://gg.gg/p2avn
https://diarynote-jp.indered.space
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