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KENO : How to configure your keno way tickets by LV Author & ExpertPrev TopicNext Topic
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Quote: Originally posted by Sunglasses on Jan 24, 2017
Prediction : 3 followed by 13, predicted on fb account.
MO: 3 TUE: 13
DATE WD N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 2017-01-16 1 1 3 5 8 12 13 18 22 27 28 30 41 43 47 50 55 60 66 67 68 2017-01-17 2 1 3 8 9 13 15 20 28 29 34 36 41 43 46 49 50 54 57 61 66 2017-01-18 3 3 4 8 10 12 13 19 20 22 26 29 31 33 47 49 54 60 66 69 70 2017-01-19 4 2 3 13 14 15 17 18 21 24 26 30 37 38 49 60 61 63 65 67 69 2017-01-20 5 3 5 12 13 20 22 25 27 29 32 36 42 45 46 47 52 55 63 66 68 2017-01-21 6 1 6 8 9 11 21 25 27 30 34 35 36 38 44 45 52 56 58 59 67 2017-01-23 1 1 3 6 8 15 17 25 28 32 34 38 40 47 48 50 51 52 54 56 63 2017-01-24 2 2 7 9 10 11 13 17 19 34 39 43 45 48 51 53 58 61 62 65 67 Thanks to the keno thread contributor Sunglasses for this apparent keno 20/70 game with prediction of #3 followed BY #13
I cannot confirm this fb account? But to be fair, I have listed the most recent independent European Belgium game showing hit results as:
The Belgium Keno Extreme:
Draw No Draw Date Numbers
6585 2017-01-25
Wednesday
4 5 9 11 12 13 26 29 31 34
39 42 44 51 58 61 62 63 65 686584 2017-01-24
Tuesday
2 7 9 10 11 13 17 19 34 39
43 45 48 51 53 58 61 62 65 676583 2017-01-23
Monday
1 3 6 8 15 17 25 28 32 34
38 40 47 48 50 51 52 54 56 636582 2017-01-21
Saturday
1 6 8 9 11 21 25 27 30 34
5 36 38 44 45 52 56 58 59 676581 2017-01-20
Friday
3 5 12 13 20 22 25 27 29 32
36 42 45 46 47 52 55 63 66 686580 2017-01-19
Thursday
2 3 13 14 15 17 18 21 24 26
30 37 38 49 60 61 63 65 67 696579 2017-01-18
Wednesday
3 4 8 10 12 13 19 20 22 26
29 31 33 47 49 54 60 66 69 706578 2017-01-17
Tuesday
1 3 8 9 13 15 20 28 29 34
36 41 43 46 49 50 54 57 61 666577 2017-01-16
Monday
1 3 5 8 12 13 18 22 27 28
30 41 43 47 50 55 60 66 67 686576 2017-01-14
Saturday
4 6 7 8 21 22 28 30 33 34
39 43 44 49 50 51 54 59 67 68~
Good Luck & Good Night
Where the little white ball never stops :-)
Eddessa_Knight with Winning Light
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Quote: Originally posted by eddessaknight on Jan 26, 2017
Thanks to the keno thread contributor Sunglasses for this apparent keno 20/70 game with prediction of #3 followed BY #13
I cannot confirm this fb account? But to be fair, I have listed the most recent independent European Belgium game showing hit results as:
The Belgium Keno Extreme:
Draw No Draw Date Numbers
6585 2017-01-25
Wednesday
4 5 9 11 12 13 26 29 31 34
39 42 44 51 58 61 62 63 65 686584 2017-01-24
Tuesday
2 7 9 10 11 13 17 19 34 39
43 45 48 51 53 58 61 62 65 676583 2017-01-23
Monday
1 3 6 8 15 17 25 28 32 34
38 40 47 48 50 51 52 54 56 636582 2017-01-21
Saturday
1 6 8 9 11 21 25 27 30 34
5 36 38 44 45 52 56 58 59 676581 2017-01-20
Friday
3 5 12 13 20 22 25 27 29 32
36 42 45 46 47 52 55 63 66 686580 2017-01-19
Thursday
2 3 13 14 15 17 18 21 24 26
30 37 38 49 60 61 63 65 67 696579 2017-01-18
Wednesday
3 4 8 10 12 13 19 20 22 26
29 31 33 47 49 54 60 66 69 706578 2017-01-17
Tuesday
1 3 8 9 13 15 20 28 29 34
36 41 43 46 49 50 54 57 61 666577 2017-01-16
Monday
1 3 5 8 12 13 18 22 27 28
30 41 43 47 50 55 60 66 67 686576 2017-01-14
Saturday
4 6 7 8 21 22 28 30 33 34
39 43 44 49 50 51 54 59 67 68~
Good Luck & Good Night
Where the little white ball never stops :-)
Eddessa_Knight with Winning Light
Thanks again Sunglasses for the 3/13 projection-
So when can we expect another verifiable numeric forecast for European 20/70 or American 20/80 Keno games ???
Best Wishes for continued success
Fortes Fortuna Juvat & Hatmonia
Eddessa_KNight with Lucky Light
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Quote: Originally posted by eddessaknight on Jan 31, 2017
Thanks again Sunglasses for the 3/13 projection-
So when can we expect another verifiable numeric forecast for European 20/70 or American 20/80 Keno games ???
Best Wishes for continued success
Fortes Fortuna Juvat & Hatmonia
Eddessa_KNight with Lucky Light
Sunglasses
Eddessa_Knight with Light
-
Quote: Originally posted by eddessaknight on Jan 31, 2017
Thanks again Sunglasses for the 3/13 projection-
So when can we expect another verifiable numeric forecast for European 20/70 or American 20/80 Keno games ???
Best Wishes for continued success
Fortes Fortuna Juvat & Hatmonia
Eddessa_KNight with Lucky Light
I only have the local keno 20/70, there was no request for other. Drawings display open, charts are visible after login. It is conceivable to add 20/80. It has 10 more numbers, so there may have to be a limit like last 1000 or last 500 maybe? The data source should make no problem to read in the drawings. I had and have trouble with some official websites as they have some weird procedure or design. The 13 after 3 were strong now, you should find similar in 20/80.
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2017-01-25 3 4 5 9 11 12 13 26 29 31 34 39 42 44 51 58 61 62 63 65 68 2017-01-26 4 1 3 7 8 13 15 20 25 35 36 37 39 42 51 54 58 59 63 65 67 2017-01-27 5 6 9 12 16 22 29 32 33 36 38 41 42 48 49 50 51 63 66 68 69 2017-01-28 6 1 5 25 29 30 34 40 41 43 47 54 55 56 57 61 63 64 65 67 69 2017-01-30 1 1 3 4 5 14 18 20 21 22 23 25 26 30 40 41 42 46 49 59 63 2017-01-31 2 9 11 18 20 22 26 30 31 32 35 44 45 46 48 49 50 51 52 56 59 2017-02-01 3 1 4 6 7 13 15 21 22 24 27 36 42 50 51 53 55 60 62 69 70 It slowly dissolved. A 13, a pair, a skip 2, a 3, a skip 1, a 13.
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Meanwhile I had 61-62 twice. It was timed and I also played the repeat, than quit. I had the pair twice, only played them for when they came out.
2017-01-24 2 2 7 9 10 11 13 17 19 34 39 43 45 48 51 53 58 61 62 65 67 2017-01-25 3 4 5 9 11 12 13 26 29 31 34 39 42 44 51 58 61 62 63 65 68 -
Followers, full history, frequency, a classical chart, 3 followed by 13 has a frequency of 249.
N\F 1 2 3 4 5 6 7 ... 51 64 65 66 67 68 69 70 1 229 216 223 224 229 231 236 * 230 223 226 239 239 216 240 206 2 215 198 220 226 220 218 219 * 205 204 225 194 220 199 232 211 -
3 7 9 17 19 23 27 33 34 43 44 46 51 53 54 58 61 62 66 68 3/02/2017
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Quote: Originally posted by Sunglasses on Feb 2, 2017
Followers, full history, frequency, a classical chart, 3 followed by 13 has a frequency of 249.
N\F 1 2 3 4 5 6 7 ... 51 64 65 66 67 68 69 70 1 229 216 223 224 229 231 236 * 230 223 226 239 239 216 240 206 2 215 198 220 226 220 218 219 * 205 204 225 194 220 199 232 211 @ Sunglasses, Do Appreciate the additional Hz relevant frequency report , a classical chart, 3 followed by 13 has a frequency of 249Hz.
~ With Compliments
And thanks to Keno Expert, author & LV player Mr Pesach Kremen
Eddessa_Knight with Lucky Light
~
VIDEO KENO
The beauty of 7-way keno is you can play a single coin
"Most of my columns refer to live keno but today I will focus on an interesting video keno game available in some Las Vegas casinos as well as casinos outside Nevada. The game is called 7-Way Keno.
I have seen the game both for nickels and for quarters. Its basis is you mark your screen (ticket) in such a way that you have a 7-way ticket. The program is set up in such a way that you have to choose the correct amount of numbers for each group.
The game is based on 9 spots. The machine has you choose a group of 2, a group of 3, and a group of 4, giving you 9 total numbers. The interesting feature of marking groups in this manner is you have exactly one ticket for each number of spots from 2 through 9, except for an 8 spot.
To solve that problem, play The Orleans’ $2 Eight Spot Progressive or any where they have Mega Keno for the 8 spot. Also, the Atlantis in Reno has all kinds of progressives, including the 8 spot, and Station casinos likewise have an 8 spot progressive. There are also other good 8 spot plays in Nevada.
But while live keno progressive games are drawn every few minutes, the machine game can be played every few seconds. (Be aware, this does require an adequate bankroll based on the denomination and number of coins you play.) Thus, you get fast action.
With the groupings of 2-3-4 you have one 2, one 3, one 4, one 5, one 6, one 7 and one 9 (all the numbers). The 2-spot is the group of 2, the 3 spot the group of 3, and the 4 spot the group of 4.
The 5-spot is the group of 2 plus the group of 3. The 6-spot is the group of 2 plus the group of 4. The 7-spot is the group of 2 plus the group of 5. The 8-spot you are playing separately in live keno. The 9-spot is all your numbers.
There are advantages and disadvantages of video keno vs. live keno. The main disadvantage is since the games take only a few seconds, your bankroll can be depleted quickly; thus play at a level you can afford.
The beauty of 7-way keno is you can play a single coin (with no penalty for playing less than max coin as all wins are proportional to the number of coins played) and thus all 7 ways will set you back only 35 cents per game if played for nickels. Make sure to insert your slot card when playing as points will rack up fast due the speed of play. This works even better on a multiple point day.
Many casinos have their keno machines adjacent to their live keno game for convenience. There is not yet a way (excuse the pun) to play the way tickets of your choice on a casino machine (you can only play the “ways” they offer) but hopefully this will come soon.
A prior column showed how to use 20 card keno to play ways of 7 to 10 spots by marking each separate card to encompass ways from 7 to 10 spots from 10 numbers when grouped 4-2-1-1-1-1, giving you 1/10, 4/9, 7/8, and 8/6 (before the / is the number of ways, after the number of spots in that way).
Some casinos even have these machines in a no smoking section (ask a floor person or change person for the location).
7 way keno is a lot of fun and when combined with live keno, free drinks (but if ordering alcohol please use public transit or have some one else drive you) and comps from your play make for an entertaining day – and a great day if your numbers come up. Enjoy!"
-
Quote: Originally posted by eddessaknight on Feb 16, 2017
@ Sunglasses, Do Appreciate the additional Hz relevant frequency report , a classical chart, 3 followed by 13 has a frequency of 249Hz.
~ With Compliments
And thanks to Keno Expert, author & LV player Mr Pesach Kremen
Eddessa_Knight with Lucky Light
~
VIDEO KENO
The beauty of 7-way keno is you can play a single coin
"Most of my columns refer to live keno but today I will focus on an interesting video keno game available in some Las Vegas casinos as well as casinos outside Nevada. The game is called 7-Way Keno.
I have seen the game both for nickels and for quarters. Its basis is you mark your screen (ticket) in such a way that you have a 7-way ticket. The program is set up in such a way that you have to choose the correct amount of numbers for each group.
The game is based on 9 spots. The machine has you choose a group of 2, a group of 3, and a group of 4, giving you 9 total numbers. The interesting feature of marking groups in this manner is you have exactly one ticket for each number of spots from 2 through 9, except for an 8 spot.
To solve that problem, play The Orleans’ $2 Eight Spot Progressive or any where they have Mega Keno for the 8 spot. Also, the Atlantis in Reno has all kinds of progressives, including the 8 spot, and Station casinos likewise have an 8 spot progressive. There are also other good 8 spot plays in Nevada.
But while live keno progressive games are drawn every few minutes, the machine game can be played every few seconds. (Be aware, this does require an adequate bankroll based on the denomination and number of coins you play.) Thus, you get fast action.
With the groupings of 2-3-4 you have one 2, one 3, one 4, one 5, one 6, one 7 and one 9 (all the numbers). The 2-spot is the group of 2, the 3 spot the group of 3, and the 4 spot the group of 4.
The 5-spot is the group of 2 plus the group of 3. The 6-spot is the group of 2 plus the group of 4. The 7-spot is the group of 2 plus the group of 5. The 8-spot you are playing separately in live keno. The 9-spot is all your numbers.
There are advantages and disadvantages of video keno vs. live keno. The main disadvantage is since the games take only a few seconds, your bankroll can be depleted quickly; thus play at a level you can afford.
The beauty of 7-way keno is you can play a single coin (with no penalty for playing less than max coin as all wins are proportional to the number of coins played) and thus all 7 ways will set you back only 35 cents per game if played for nickels. Make sure to insert your slot card when playing as points will rack up fast due the speed of play. This works even better on a multiple point day.
Many casinos have their keno machines adjacent to their live keno game for convenience. There is not yet a way (excuse the pun) to play the way tickets of your choice on a casino machine (you can only play the “ways” they offer) but hopefully this will come soon.
A prior column showed how to use 20 card keno to play ways of 7 to 10 spots by marking each separate card to encompass ways from 7 to 10 spots from 10 numbers when grouped 4-2-1-1-1-1, giving you 1/10, 4/9, 7/8, and 8/6 (before the / is the number of ways, after the number of spots in that way).
Some casinos even have these machines in a no smoking section (ask a floor person or change person for the location).
7 way keno is a lot of fun and when combined with live keno, free drinks (but if ordering alcohol please use public transit or have some one else drive you) and comps from your play make for an entertaining day – and a great day if your numbers come up. Enjoy!"
Most multi-game Keno machines have games like Four Card Keno, Multi Card (20 lines) Keno, 2-4-6. 3-6-9. and Super Way (4-3-2) Keno. The first one is three 2's, three 4's, and one 6 (7 ways). The second is three 3's, three 6's, and one 9 (7 ways) and the third is one 2, one 3, one 4 and combining the ways to make one 5 (the 2 + the 3), one 6 (the 2 + the 4) one 7 (3 + 4), and one 9 (the 2 + the 3 + the 4) and again 7 ways.
Some times I play two 3's and one 6 or combine three 2's to make three 4's and one 6. I play five 4's with one 5 too. The problem it's the KY Lottery four minute Keno where the top end payoffs are much smaller. Casino 3-spots pay $42, lottery $27, 4-spots pay $125 compared to $72, and 5-spots pay $800 compared to the lottery's $410 payoff.
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Quote: Originally posted by Stack47 on Feb 17, 2017
Most multi-game Keno machines have games like Four Card Keno, Multi Card (20 lines) Keno, 2-4-6. 3-6-9. and Super Way (4-3-2) Keno. The first one is three 2's, three 4's, and one 6 (7 ways). The second is three 3's, three 6's, and one 9 (7 ways) and the third is one 2, one 3, one 4 and combining the ways to make one 5 (the 2 + the 3), one 6 (the 2 + the 4) one 7 (3 + 4), and one 9 (the 2 + the 3 + the 4) and again 7 ways.
Some times I play two 3's and one 6 or combine three 2's to make three 4's and one 6. I play five 4's with one 5 too. The problem it's the KY Lottery four minute Keno where the top end payoffs are much smaller. Casino 3-spots pay $42, lottery $27, 4-spots pay $125 compared to $72, and 5-spots pay $800 compared to the lottery's $410 payoff.
First a sincere thanks to our Stack, who I consider an actual Keno playing expert
One best way to beat the Keno Game + Plus a bonus alternative
Let’s imagine we have 80 cows in 4 corrals. 20 Cows in each corral
1 of the corals are filled with only 20 white cows, the rest 60 Black are in the other 3 corrals
In the morning after milking we let them all out to pasture.
It’s time now to call them back to re-corral our herd. The cows uncaringly enter one of the 4 corrals.
The average is that at least 5 of the white cows will end up in each of the corrals totaling 20 cows per corral.
In reality it would be very unlikely that this would happen. It could be as many as 12 or more of the white cows returning to one of the corrals. The rest of the 68 cows scattered throughout the other 3 corrals
Now let’s imagine this concept to be a Keno card.
It’s a 1 in 4 chance or 25% that you choose the corral that has the returning 12 or more cows and you know that it’s as small as a 5 cow average return.
Keno, they say is one of the lowest odd in the casino to play.
~
I beg to differ !
Alternatively take a realistic look at Keno.
There are 80 numbers on the keno card and 80 balls (cows) in the hopper.
The dealer draws out 20 or 25% of the numbered balls to make a keno game.
The odds are 4 to 1 or 25%
On the next game
They take those 20 balls and mix them up with the unused keno balls. The odds are, on the next draw an average of 5 or more of those numbers will reappear in each corral.
The second thing to notice whenever you look at a finished keno game you will notice the numbers end up lined up across the board in somewhat rows of picked numbers.
So how do we play the Keno game?
First you will go to the Keno desk as soon as the last game is played. Ask the dealer to give you a breakdown sheet of the last 7 games played.
On the sheet you will see the numbers played and how many times that they were played.
(You need to work fast to get into the next game.)
Count the numbers across of each drawn numbered ball and write it down at the end of a blank Keno ticket row.
Lets Say:
1 thru 10 there were 9 drawn numbers. Write a 9 at the end of the first row
11 thru 20 there were 14 numbers write 14 at the end of the second row and so on.
21 thru 30 say there were 11 numbers played and all the way down to the 71 thru 80.row
The 2 most active rows that have the MOST drawn numbers are the rows we will consider playing.
(Row 31 to 40 having 29 numbers played) and
(Row 61 to 70 having 31 numbers played)
Take note of the last game played that is still available to see still on the board and out of the two active rows.
Choose the active row that has least amount of active numbers played of the last game played. One of these rows will be the rows we will play this time.
Better yet, if you have only one active row play that one
This is the process of choosing the corral that most of the cows will return to
You will play any and only 4 numbers in that row.
Mark your Keno sheet with an X for each of the four numbers you have chosen then circle the X.
So you will have four circled Xs in your chosen row.
Mark your ticket for 1 game played. You’re playing 11 ways.
You’re playing six/2s, four/3s and one/4
If you hit only 2 of the 4 numbers chosen
You will win more money than you invested.
If you’re a one dollar player the ticket will cost you $11.00 dollars.
If you hit just 2 of your numbers you will win around $15.00
When you hit 3 or 4 of your numbers your winnings start to skyrocket
Hit only 2 numbers one 2 win $15.00
Hit 3 win three / 2s wins and one / 3
Hit 4 win also six / 2s wins also four / 3wins and the one / 4win ( Big money winner )
For each new game played, start from the beginning and go to the desk and get the last 7 games played. You may miss a game don’t sweat it!
It takes practice. So take some dry runs. You can practice for free. You can follow these instructions and fill out a ticket and don’t turn the ticket in. You will see that it works!
When you hit a few 3 or 4 spot winners start pressing your bets.
-
Quote: Originally posted by eddessaknight on Mar 5, 2017
First a sincere thanks to our Stack, who I consider an actual Keno playing expert
One best way to beat the Keno Game + Plus a bonus alternative
Let’s imagine we have 80 cows in 4 corrals. 20 Cows in each corral
1 of the corals are filled with only 20 white cows, the rest 60 Black are in the other 3 corrals
In the morning after milking we let them all out to pasture.
It’s time now to call them back to re-corral our herd. The cows uncaringly enter one of the 4 corrals.
The average is that at least 5 of the white cows will end up in each of the corrals totaling 20 cows per corral.
In reality it would be very unlikely that this would happen. It could be as many as 12 or more of the white cows returning to one of the corrals. The rest of the 68 cows scattered throughout the other 3 corrals
Now let’s imagine this concept to be a Keno card.
It’s a 1 in 4 chance or 25% that you choose the corral that has the returning 12 or more cows and you know that it’s as small as a 5 cow average return.
Keno, they say is one of the lowest odd in the casino to play.
~
I beg to differ !
Alternatively take a realistic look at Keno.
There are 80 numbers on the keno card and 80 balls (cows) in the hopper.
The dealer draws out 20 or 25% of the numbered balls to make a keno game.
The odds are 4 to 1 or 25%
On the next game
They take those 20 balls and mix them up with the unused keno balls. The odds are, on the next draw an average of 5 or more of those numbers will reappear in each corral.
The second thing to notice whenever you look at a finished keno game you will notice the numbers end up lined up across the board in somewhat rows of picked numbers.
So how do we play the Keno game?
First you will go to the Keno desk as soon as the last game is played. Ask the dealer to give you a breakdown sheet of the last 7 games played.
On the sheet you will see the numbers played and how many times that they were played.
(You need to work fast to get into the next game.)
Count the numbers across of each drawn numbered ball and write it down at the end of a blank Keno ticket row.
Lets Say:
1 thru 10 there were 9 drawn numbers. Write a 9 at the end of the first row
11 thru 20 there were 14 numbers write 14 at the end of the second row and so on.
21 thru 30 say there were 11 numbers played and all the way down to the 71 thru 80.row
The 2 most active rows that have the MOST drawn numbers are the rows we will consider playing.
(Row 31 to 40 having 29 numbers played) and
(Row 61 to 70 having 31 numbers played)
Take note of the last game played that is still available to see still on the board and out of the two active rows.
Choose the active row that has least amount of active numbers played of the last game played. One of these rows will be the rows we will play this time.
Better yet, if you have only one active row play that one
This is the process of choosing the corral that most of the cows will return to
You will play any and only 4 numbers in that row.
Mark your Keno sheet with an X for each of the four numbers you have chosen then circle the X.
So you will have four circled Xs in your chosen row.
Mark your ticket for 1 game played. You’re playing 11 ways.
You’re playing six/2s, four/3s and one/4
If you hit only 2 of the 4 numbers chosen
You will win more money than you invested.
If you’re a one dollar player the ticket will cost you $11.00 dollars.
If you hit just 2 of your numbers you will win around $15.00
When you hit 3 or 4 of your numbers your winnings start to skyrocket
Hit only 2 numbers one 2 win $15.00
Hit 3 win three / 2s wins and one / 3
Hit 4 win also six / 2s wins also four / 3wins and the one / 4win ( Big money winner )
For each new game played, start from the beginning and go to the desk and get the last 7 games played. You may miss a game don’t sweat it!
It takes practice. So take some dry runs. You can practice for free. You can follow these instructions and fill out a ticket and don’t turn the ticket in. You will see that it works!
When you hit a few 3 or 4 spot winners start pressing your bets.
Thanks for the complement!
A Keno Writer at the old Star Dust taught me the value of playing way tickets which is very similar playing lottery wheels. Played a 3, 4, and 7-way ticket for $3 many times while eating dinner or two 3's and one 6. But my favorite and most profitable was four 2's, six 4's, four 6's, and one 8. $15 for one game is rather high, but most Keno lounges had the 50 cents a way option too.
I saw a five king numbers ticket with 31 ways where matching three of the five numbers pays over $100 that's similar to your four kings, but includes the five 1-spots. IMO part of the fun of playing Keno is developing playing strategies.
-
Quote: Originally posted by Sunglasses on Jun 15, 2016
Keno USA Casino
Keno 1 - 80? Good, but I cannot download a file with 1000 drawings to have a closer look at some parts.
The payout for 7/7 seems to be very good, beating the lotteries by far. I suppose this is due to many people not winning much.
Can you play single numbers and couples to win? Is there are pick 20 or pick 25? A lot of practical quesions.
I don't like the machine rooms, they are like unhealthy.
I'm kind of curious why you would not be able to download 1000 drawings, they don't take up very much space at all. I've got over 6,500 NY Pick 10 drawings and over 400,000 Quick Draw drawings saved. The Quick Draw storage space is less than 150 MB.
The trick is not to store the combinations of numbers for whatever target you are trying to hit, but to store the 20 numbers picked and then calculate the combinations as needed for that target. In almost all instances it is faster to run through the combinations real time than it is to load all the combination data for that drawing.
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I skimmed through this thread, but did not see any clear methods for calculating the odds.
To calculate the total number of combinations I use the following code:
Public Function Calc_Permutations(ByVal Base As Integer, ByVal Digits As Integer) As Long
m_Base = Base
m_Digits = Digits
Dim BaseSum As Long = 1
Dim DigitsSum As Long = 1
For DC = 0 To Digits - 1
BaseSum = BaseSum * (Base - DC)
DigitsSum = DigitsSum * (Digits - DC)
Next
m_TotalCombos = BaseSum / DigitsSum
Return m_TotalCombos
End FunctionPublic Function Calc_Variable_Odds(ByVal NumBase As Byte, ByVal WinDigits As Byte, ByVal PickDigits As Byte, ByVal Target As Byte) As Long
Dim WinPerm As Long = Calc_Permutations(WinDigits, (PickDigits - (PickDigits - Target)))
Dim NonPerm As Long = Calc_Permutations(NumBase - WinDigits, PickDigits - Target)
Return Calc_Permutations(NumBase, PickDigits) / IIf(WinPerm * NonPerm = 0, 1, WinPerm * NonPerm)
End FunctionThe results as they compare to the published odds.
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If I want to know what the odds are for how frequently pairs of numbers appear in winning drawing I use the following math:
Calculate the combinations of all pairs of numbers. For an 80 digits game that would be 3,160 different pairs.
Calculate the combinations of pairs in the winning set of numbers. For a 20 pick game that would be 190.
Divide the total combinations by the winning combinations: 3160/190 = 16.63 which means that we can expect pairs of numbers to appear about once every 17 drawings.
If I look at actual drawings this is how that average spreads out on a sample of 100 drawings. While it may average to once every 17 days the reality is that at least 2 numbers from the previous drawing are going to appear in the next day's drawing 100% of the time in this sampling.In some ways this is not surprising considering that 1 in every four numbers has a chance of appearing in a drawing so statistically speaking on average 5 numbers from the previous drawing should appear in the next providing 10 possible combinations of pairs.
The other thing to note is that if I spread the sample out over 1000 days we see that it does not happen 100% of the time, but 99,9% is still pretty good.
Here is the same data if I now look for combinations of 4 digits.
In this sampling we can see that if I were to pick 4 digits from the 4,845 combinations of 4 that appeared in the drawing 7 days ago I would have on average about a 1 in 242 chance of picking the correct 4 digits 90% of the time.
If I expand it to 6 digits, it takes much longer to run, but we can see from the early results that if 6 numbers are picked from the winners in the drawing that took place 155 ago, I could potentially have a 1 in 4,306 chance of picking the correct 6 numbers 100% of the time. Although I have a feeling that by time this finishes running that percentage will drop down to about 40-60%.