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• Keno 3 Out Of 5 Numbers Worksheets
• Keno 3 Out Of 5 Numbers Online
• Keno 3 Out Of 5 Numbers Explained
• Keno 3 Out Of 5 Numbers Words
• Keno 3 Out Of 5 Numbers Multiplication

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Pick your keno numbers (also called spots). When an online keno draw takes place, 20 numbers will be picked in a range between 1 and 80. You can typically make anywhere from one to 15 picks, with different prizes available depending on how many spots you choose to play. Carolina Keno is a fast-paced lottery draw-style game that's easy to play, with a chance to win great cash prizes every 4 minutes. For each Keno drawing, 20 numbers out of 80 will be selected as winning numbers. You can decide how many of these numbers (called Spots) and exactly which numbers you will try to match.

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Check the latest Keno winning numbers here on PlayNow.com. There are thousands of Keno winners every day in BC. With the live draws happening every 3:30 minutes you could win up to $200,000. Probabilities in Keno. To understand keno probabilities you must first fully understand the combinatorial function. For example, in the Maryland lotto the player picks 6 numbers out of 49. Then the lottery will draw 6 numbers out of 49, without replacement. The player wins the jackpot if all six numbers match (order does not matter). Play video keno. Some online keno games allow you to single bet up to 40 numbers. But you can also play it on screens at casinos and various other locations now. The payout tends to be a bit better, but you also play faster, so it sort of evens out. But with video keno, you play at your own pace.

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Keno 3 Out Of 5 Numbers Worksheets

How to Play

1. Choose how many numbers (spots) you want to play by marking in the appropriate box.
2. Select the amount of money you want to wager per game ($1, $2, $5, $10 or $20) by marking in one of the Amount Bet boxes.
3. You can play up to 30 consecutive games by marking the appropriate box under Number of Games Played.
4. Pick the numbers you wish to play from a field of 80 by marking in each of the boxes, keeping in mind the number of spots chosen above. IMPORTANT: KEEP MARKS INSIDE BOXES. Use only PENCIL OR BLUE BALL-POINT PEN to mark the betting slip. You may also let the Lottery computer choose your numbers by marking in the Quic Pic (QP) box.
5. Mark the “Y” box if you wish to play KENO BONUS. If you play KENO BONUS the total wager amount will double.****
6. Give the completed betting slip to an ON-LINE Lottery Sales Agent.
7. The Sales Agent will give you a separate ticket as your receipt. IMPORTANT: CHECK YOUR TICKET! BE SURE THAT IT REPRESENTS THE NUMBERS AND DRAWING(S) THAT YOU WANTED TO PLAY AS IT IS YOUR ONLY PROOF OF PLAYING THESE NUMBERS.
8. The Lottery suggests for your own protection that you sign the back of your ticket to identify ownership.

KENO BONUS

KENO BONUS gives you a chance to increase your KENO winnings by 3, 4, 5 or 10 times. To play KENO BONUS, mark the “Y” box on your bet slip. The cost of your wager will double. If you purchase the additional BONUS play for a drawing and win, you may multiply your winnings if a multiplier number (3, 4, 5 or 10) is drawn. The overall odds of having a multiplier number (3, 4, 5 or 10) are 1:2.3.

KENO BONUS is not available for the 10-spot, 11-spot, or 12-spot KENO games. A KENO BONUS wager is only valid when played in conjunction with a valid KENO wager.

Rules

1. Bets are not effective until accepted by the Lottery’s on-line computer processing system prior to the drawing of the winning number and in accordance with Lottery rules. Bettors acknowledge that on-line Lottery sales agents are acting on behalf of the bettors in entering bets into the Lottery’s on-line KENO computer processing system.
2. Present your completed bet slip to your Lottery Sales agent for processing. You will receive a ticket. CHECK YOUR TICKET IMMEDIATELY TO VERIFY THAT THE SELECTIONS ON YOUR TICKET MATCH THE SELECTIONS REQUESTED ON THE BET SLIP.
3. Present winning ticket to any on-line KENO sales agent for payment of prizes up to and including $600. Claims for more than $600 will be paid by the Lottery Commission after claim form is filed. Under unusual conditions, fixed prizes may be reduced according to the rules and regulations. All cash prizes must be claimed within one (1) year following the draw date.
4. Your ticket is a bearer instrument. Unless signed by owner, prize may be claimed by anyone in possession of winning ticket. SIGN YOUR TICKET IMMEDIATELY. Bettors agree to abide by Lottery Commission rules and regulations. Applicable rules are available for inspection by bettors by contacting the Lottery Commission at. 150 Mount Vernon St. Dorchester MA 02125

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Maximum overall prize payout for matching 12 out of 12 is $2,000,000 for any single game. If there are more than two ($2) dollars bet on the winning numbers, the payoff for each one ($1) dollar bet equals two million ($2,000,000) dollars divided by the number of dollars wagered.

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Maximum overall prize payout for matching 11 out of 11 is $2,000,000 for any single game. If there are more than four ($4) dollars bet on the winning numbers, the payoff for each one ($1) dollar bet equals two million ($2,000,000) dollars divided by the number of dollars wagered.

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Maximum overall prize payout for matching 10 out of 10 is $2,000,000 for any single game. If there are more than twenty ($20) dollars bet on the winning numbers, the payoff for each one ($1) dollar bet equals two million ($2,000,000) dollars divided by number of dollars wagered.

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KENO BONUS gives you a chance to increase your KENO winnings by 3, 4, 5 or 10 times. To play KENO BONUS, mark the “Y” box on your bet slip. The cost of your wager will double. If you purchase the additional BONUS play for a drawing and win, you may multiply your winnings if a multiplier number (3, 4, 5 or 10) is drawn. The overall odds of having a multiplier number (3, 4, 5 or 10) are 1:2.3. KENO BONUS is not available for the 10-spot, 11-spot, or 12-spot KENO games. A KENO BONUS wager is only valid when played in conjunction with a valid KENO wager.

To understand keno probabilities you must first fully understand the combinatorial function. For example, in the Maryland lotto the player picks 6 numbers out of 49. Then the lottery will draw 6 numbers out of 49, without replacement. 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. Before this happens the player may pick 1 to 15 (or more) numbers. A 'catch' is a number the player picked and was drawn by the casino. A 'miss' is a number of the player picked but was not drawn by the casino. The player is paid according to the number of picks made and catches.

Although the player picks first the combinations get very huge when calculation the number of ways the casino can match the player’s picks. To start with there are combin(80,20) = 3,535,316,142,212,180,000 ways the casino can draw 20 numbers out of 80. Many calculators don’t support numbers this big. So to keep the combinations smaller we will assume the casino draws first, but keeps the numbers secret, and player tries to match the numbers already drawn. I assure you the math is the same either way.

All the following images were taken from the Luxor keno rulebook. All pays are on a 'for one' basis. In other words the player never gets his original bet back, even if he wins.

1 Spot

Let’s examine the 1 Spot card first. Here the player just picks one number, from 1 to 80. Then the casino will draw 20 numbers. If one of these 20 match the player’s number then the player is paid $3 for a $1 bet.

There are 80 numbers the player can pick. 20 of these will result in a winning ticket. So the probability of winning is 20/80 = ¼. The expected return is thus ¼ * 3 = 75%.

2 Spot

We need to start using the combinatorial function for the 2 Spot card. The player picks 2 numbers and casino must draw both of them for the player to win. There is no consolation prize for only catching one. There are a total of combin(80,2) = 3160 ways the player can draw 2 numbers out of 80. However the player must draw 2 out of the casino’s 20 drawn numbers to win. So there are only combin(20,2) = 190 ways to draw 2 winning numbers. So the probability of winning is 190/3160 = 6.01%. A winning $1 ticket pays $12, so the expected return is (190/3160) * $12 = 72.15%.

Alternatively, the probability the player’s first pick will match one of the casino’s numbers is 20/80. If it does match the probability the second pick will match one of the casino’s other 19 numbers out of 79 is 19/79. So the probability of winning is (20/80)*(19/79) = 6.01%.

3 Spot

With the 3 Spot card we start having consolation prizes for not matching every pick. First let’s determine the probability of catching all 3 marks. There are combin(80,3) = 82,160 ways to draw 3 numbers out of 80. To catch all three the player must pick all 3 numbers from the casino’s 20 drawn numbers. There are combin(20,3) = 1140 ways to do this. So the probability of catching all 3 is 1140/82160 = 1.39%.

There is a consolation prize for catching 2 out of 3. Imagine the casino puts the 20 drawn numbers in a winning urn and the other 60 numbers in a losing urn. The number of ways to catch 2 out of 3 is the number of ways to draw 2 balls from the 20 in the winning urn, which is combin(20,2) = 190. The number of ways to draw one losing ball out of 60 is obviously 60. So the number of ways to catch 2 out of 3 is the product of the number of ways to pick 2 winning balls from the winning urn and 1 ball from the losing urn, or 190*60 = 11,400. We already know there are combin(80,3) = 82,160 total ways to draw 3 balls out of 80. So the probability of catching 2 out of 3 is 11,400/82,160 = 13.88%.

For any bet the expected return is the dot product over every possible event of the probability and what it pays. The following table shows every possible outcome, with the total in the bottom row.

The bottom right cell shows that over all 82,160 combinations the player will get back $59,280. So the expected return is 59280/82160 = 72.15%.

4 Spot

For the 4 Spot ticket the number of ways to catch all four is combin(20,4) = 4845. The number of ways to catch 3 and miss one is the product of the number of ways to choose 3 out of 20 and the number of ways to choose 1 out of 60, or combin(20,3) * 60 = 1140*60 = 68,400. The number of ways to catch 2 and miss 2 is the product of the number of watch to choose 2 out of 20 winners and 2 out of 60 losers, or combin(20,2)*combin(60,2) = 190 * 1770 = 336,300. The following table shows all the possible outcomes.

The return of the 4 Spot ticket is 1,122,900/1,581,580 = 71.00%.

4 Spot Special

Next, let’s look at the 4 Spot Special. We just worked out all the combinations, so we only need to apply them to a different pay table as follows, based on a $7 ticket.

The expected return of the ticket is 7,957,200/1,581,580 = $5.0312. However we must divide this by $7, the cost of the ticket, to get the expected return, which is $5.0312/$7 = 71.87%. So, if you don’t mind extra volatility, and were going to bet $7 anyway, the 4 Spot Special is a better bet than the regular 4 Spot.

5 Spot

For the rest of the tickets I will present just the return tables. Following is the return table for the 5 Spot.

5-Spot return = $17,037,300/24,040,016 = 70.87%

6 Spot

6-Spot return = 70.99%

7 Spot

The 7-spot has a return of $2237033400/3176716400 = 70.42%

Keno 3 Out Of 5 Numbers Online

8 Spot

Keno 3 Out Of 5 Numbers Explained

8-Spot return = $20445589920/28987537150 = 70.53%.

9 Spot

9 Spot Return = 70.23%

10 Spot

Keno 3 Out Of 5 Numbers Words

For some reason there is a $2 minimum beginning with the 10-spot. Here is the return table for a $2 ticket.

The $2 10-spot returns on average $1.4092. So the expected return is $1.4092/2 = 70.46%.

Keno 3 Out Of 5 Numbers Multiplication

The Luxor keno rule book goes through a pick 15, plus a pick 20. However hopefully you understand how to do the math yourself by now.