Keno 3 Out Of 5 Numbers
KENO-To-Go is a great opportunity for you to play up to 30 consecutive KENO games. All the rules and regulations are the same as the original KENO. You can leave the premises and check your ticket on-line. KENO BONUS gives you a chance to increase your KENO winnings by 3, 4, 5 or 10 times. The overall odds of having a multiplier number (3, 4, 5. 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.
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.
Catch | Formula | Combinations | Pays | Return |
3 | combin(20,3)*combin(60,0) | 1140 | $42 | $47880 |
2 | combin(20,2)*combin(60,1) | 11400 | $1 | $11400 |
1 | combin(20,1)*combin(60,2) | 35400 | $0 | $0 |
0 | combin(20,0)*combin(60,3) | 34220 | $0 | $0 |
Total | 82160 | $ | $59280 |
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.
Catch | Formula | Combinations | Pays | Return |
4 | combin(20,4)*combin(60,0) | 4845 | $120 | $581400 |
3 | combin(20,3)*combin(60,1) | 68400 | $3 | $205200 |
2 | combin(20,2)*combin(60,2) | 336300 | $1 | $336300 |
1 | combin(20,1)*combin(60,3) | 684400 | $0 | $0 |
0 | combin(20,0)*combin(60,4) | 487635 | $0 | $0 |
Total | 1581580 | $ | $1122900 |
Keno 3 Out Of 5 Numbers Explained
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.
Catch | Formula | Combinations | Pays | Return |
4 | combin(20,4)*combin(60,0) | 4845 | $1360 | $6589200 |
3 | combin(20,3)*combin(60,1) | 68400 | $20 | $1368000 |
2 | combin(20,2)*combin(60,2) | 336300 | $0 | $0 |
1 | combin(20,1)*combin(60,3) | 684400 | $0 | $0 |
0 | combin(20,0)*combin(60,4) | 487635 | $0 | $0 |
Total | 1581580 | $ | $7957200 |
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.
Catch | Formula | Combinations | Pays | Return |
5 | combin(20,5)*combin(60,0) | 15504 | $800 | $12403200 |
4 | combin(20,4)*combin(60,1) | 290700 | $9 | $2616300 |
3 | combin(20,3)*combin(60,2) | 2017800 | $1 | $2017800 |
2 | combin(20,2)*combin(60,3) | 6501800 | $0 | $0 |
1 | combin(20,1)*combin(60,4) | 9752700 | $0 | $0 |
0 | combin(20,0)*combin(60,5) | 5461512 | $0 | $0 |
Total | 24040016 | $ | $17037300 |
5-Spot return = $17,037,300/24,040,016 = 70.87%
6 Spot
Catch | Formula | Combinations | Pays | Return |
6 | combin(20,6)*combin(60,0) | 38760 | $1500 | $58140000 |
5 | combin(20,5)*combin(60,1) | 930240 | $88 | $81861120 |
4 | combin(20,4)*combin(60,2) | 8575650 | $4 | $34302600 |
3 | combin(20,3)*combin(60,3) | 39010800 | $1 | $39010800 |
2 | combin(20,2)*combin(60,4) | 92650650 | $0 | $0 |
1 | combin(20,1)*combin(60,5) | 109230240 | $0 | $0 |
0 | combin(20,0)*combin(60,6) | 50063860 | $0 | $0 |
Total | 300500200 | $ | $213314520 |
6-Spot return = 70.99%
7 Spot
Keno 3 Out Of 5 Numbers Words
Catch | Formula | Combinations | Pays | Return |
7 | combin(20,7)*combin(60,0) | 77520 | $7000 | $542640000 |
6 | combin(20,6)*combin(60,1) | 2325600 | $350 | $813960000 |
5 | combin(20,5)*combin(60,2) | 27442080 | $20 | $548841600 |
4 | combin(20,4)*combin(60,3) | 165795900 | $2 | $331591800 |
3 | combin(20,3)*combin(60,4) | 555903900 | $0 | $0 |
2 | combin(20,2)*combin(60,5) | 1037687280 | $0 | $0 |
1 | combin(20,1)*combin(60,6) | 1001277200 | $0 | $0 |
0 | combin(20,0)*combin(60,7) | 386206920 | $0 | $0 |
Total | 3176716400 | $ | $2237033400 |
The 7-spot has a return of $2237033400/3176716400 = 70.42%
8 Spot
Catch | Formula | Combinations | Pays | Return |
8 | combin(20,8)*combin(60,0) | 125970 | $20000 | $2519400000 |
7 | combin(20,7)*combin(60,1) | 4651200 | $1500 | $6976800000 |
6 | combin(20,6)*combin(60,2) | 68605200 | $90 | $6174468000 |
5 | combin(20,5)*combin(60,3) | 530546880 | $9 | $4774921920 |
4 | combin(20,4)*combin(60,4) | 2362591575 | $0 | $0 |
3 | combin(20,3)*combin(60,5) | 6226123680 | $0 | $0 |
2 | combin(20,2)*combin(60,6) | 9512133400 | $0 | $0 |
1 | combin(20,1)*combin(60,7) | 7724138400 | $0 | $0 |
0 | combin(20,0)*combin(60,8) | 2558620845 | $0 | $0 |
Total | 28987537150 | $ | $20445589920 |
8-Spot return = $20445589920/28987537150 = 70.53%.
9 Spot
Catch | Formula | Combinations | Pays | Return |
9 | combin(20,9)*combin(60,0) | 167960 | $25000 | $4199000000 |
8 | combin(20,8)*combin(60,1) | 7558200 | $4000 | $30232800000 |
7 | combin(20,7)*combin(60,2) | 137210400 | $300 | $41163120000 |
6 | combin(20,6)*combin(60,3) | 1326367200 | $43 | $57033789600 |
5 | combin(20,5)*combin(60,4) | 7560293040 | $4 | $30241172160 |
4 | combin(20,4)*combin(60,5) | 26461025640 | $0 | $0 |
3 | combin(20,3)*combin(60,6) | 57072800400 | $0 | $0 |
2 | combin(20,2)*combin(60,7) | 73379314800 | $0 | $0 |
1 | combin(20,1)*combin(60,8) | 51172416900 | $0 | $0 |
0 | combin(20,0)*combin(60,9) | 14783142660 | $0 | $0 |
Total | 231900297200 | $ | $162869881760 |
9 Spot Return = 70.23%
10 Spot
For some reason there is a $2 minimum beginning with the 10-spot. Here is the return table for a $2 ticket.
Catch | Formula | Combinations | Pays | Return |
10 | combin(20,10)*combin(60,0) | 184756 | $50000 | $9237800000 |
9 | combin(20,9)*combin(60,1) | 10077600 | $8000 | $80620800000 |
8 | combin(20,8)*combin(60,2) | 222966900 | $2000 | $445933800000 |
7 | combin(20,7)*combin(60,3) | 2652734400 | $260 | $689710944000 |
6 | combin(20,6)*combin(60,4) | 18900732600 | $40 | $756029304000 |
5 | combin(20,5)*combin(60,5) | 84675282048 | $4 | $338701128192 |
4 | combin(20,4)*combin(60,6) | 242559401700 | $0 | $0 |
3 | combin(20,3)*combin(60,7) | 440275888800 | $0 | $0 |
2 | combin(20,2)*combin(60,8) | 486137960550 | $0 | $0 |
1 | combin(20,1)*combin(60,9) | 295662853200 | $0 | $0 |
0 | combin(20,0)*combin(60,10) | 75394027566 | $0 | $0 |
Total | 1646492110120 | $ | $2320233776192 |
The $2 10-spot returns on average $1.4092. So the expected return is $1.4092/2 = 70.46%.
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.
How to Find the Best Patterns to Play for Video Keno
Here we are going to discuss how to find the best patterns to play for Video Keno. First we start off by making sure you are aware that that Video Keno machines use an RNG (Random Number Generator) system that turns out the numbers. Basically this means they turn out random numbers with no correlation to previous picks or even the next ones.
Although, just like in any machine there will be various patterns and combinations that may be seen after a watching the machine for some time frame. The video keno algorithm generates a few patterns that can be followed by gamblers.
These are considered advantages to those players that know how to spot them. If a gambler can figure out the manner in which that machine is creating those random numbers, then they will be able to grab an edge on the machine and win easily at video keno.
These combinations and patterns can be discovered only after tediously researching numerous sessions of that particular machine. These are known by professional gamblers as “winning combinations” or “pattern numbers”. Video Keno data indicates that somewhere between 5 and 8 numbers out of the preceding picks are repeated.
Choosing Video Keno Patterns
Keno 3 Out Of 5 Numbers
Choosing patterns in a video keno game is the most interesting action since it calls for a bunch of studying and patience. Pick consecutive numbers when you are playing a video keno machine or wager on “hot” and “cold” numbers.
Keno patterns and combinations typically consist of the manner in which numbers picked during various sessions are repeated. Make sure you are watching for repeating numbers over and over again, since these numbers can provide you with a higher potential for winning. A few gamblers will use their favorite numbers to wager like their ages, date of birth or some other important dates in their lives.
Choosing 4 Card Video Keno Patterns
For choosing 4 card video keno patterns the player will pick between 2 and 10 numbers. Playing 4 cards Video Keno is more effective because your chances of winning become greater. You may “hit” 7 spots on half of your cards which will provide you with a sizeable jackpot. Here is the winning pattern at 4 card Video Keno playing assorted combinations of numbers “decreased” from a larger number. Overlapping numbers on those 4 cards will give you the best chance. Pick numbers within a short sequence such as 20, 21, 22, 23; a total of: 26, 28 and a total of: 36, 37.
Preferred Video Keno Patterns
Video Keno players absolutely love playing with different video keno strategies. Some just like following popular and classic patterns of the game. Either they are wagering by utilizing dates in connection with them or either using statistics and databases, whatever it takes to figure out the order to which the numbers are being generated.
In the long run it is all about having fun and enjoying yourself. Concentrating on winning only is going to have a negative outcome to this game. In order to mix gambling and fun, shut your eyes and wager with numbers picked at random.
Methods and Patterns in Video Keno
In a video keno game there’s just one truth. That is the highest jackpot is won with the maximum number of numbers chosen. In this instance, a maximum of 20 numbers from 6 to 10 selected numbers, any player has the chance to win at video keno because up to 15 numbers can hit the jackpot. All video keno players possess their own numbers that are lucky that they will often play. You will need to gamble on huge amounts if you are looking to earn big rewards. Gambling on lesser values is going to reward you with minor gains. According to data provided the hottest numbers in video keno are 3, 16, 44, 58, 61, 66, 67, 74 and 78.
Video Keno Winning Patterns
The game of video keno is centered on a big measure of unpredictability, because it is due to a RNG (Random Number Generator). Random numbers are difficult to get predicted, particularly when they are the result of a computer choice. A number of gamblers love to watch, determine and then play with those numbers referred to as “hot” numbers while some others choose to make use of complex software systems. These are commonly known as “computer predictors”.
Best Video Keno Patterns to Play
The best approach to winning at Video Keno is by using “hot” numbers. Then again just by using the dates you like or use each time. Also, a more sensible choice is by using a computer algorithm that is able to generate correct calculations and offer a higher possibility of hitting big payouts.
You need to find out which is a better choice for the video keno game. Do not forget to enjoy yourself since Video Keno is supposed to be a game for relaxation. Try using the numbers the next time you play video keno as they are among the best: 3, 16, 44, 58, 61, 66, 67, 74 and 78. As long as you will follow our suggestions of patterns and combinations, your chances of winning will be enhanced.