Randomly Straight Lines

Come on peeps join this tourney n get it started :o)

vic is the Number "1", between 9 good players of the tournament 'Top 10% Faster Backgammoners for 2006-07 (Backgammon)'

Top 10% Faster Backgammoners for 2006-07

Congratulations vic!

Thanks to all other players, and hope to see in other tournaments!

Top 10% Faster Backgammoners for 2006-07

More live ludo please : )

Anything Goes (BG & UE) Creator: Babygirlle
Back to the list of tournaments

Match type: Normal game
Tournament type (?): one game for each two players
Membership level:
Minimum number of players: 4
Maximum number of players: unlimited
Maximum number of players per section: 8
Final match type for two player section: 3 wins match
Time control (?): 3 days, no days off
Player rating: 1000 <= BKR <= 4000
Unrated players: no
Unrated games (no BKR will be affected by this tournament): no
Private tournament (you will send personal invitations): no
Status: running
Last term to sign up: 13. August 2006, 22:00:00
Days after the deadline before a tournament with not enough players is deleted: 5

* Checkers (2 - open) - you are signed up
* Anti Checkers (3 - open) - you are signed up
* Connect6 (1 - open)
* Backgammon (3 - open) - you are signed up
* Battleboats Plus (4 - running) - you are signed up
* Dark Battleboats (5 - running) - you are signed up
* Halma 8x8 (2 - open)
* Ludo (5 - running) - you are signed up

Hi, to 'The Best and The Fast Gammon Players',

This is an opportunity, check your weight against to other best players if you inside the top 10% any of Gammon Games.

Don't be afraid of endless games and tournaments! If you don't like to join to the Gammon Tournaments without end (related with the move time of the opponents), our games finish before the next month tournament generally.

We choosed publicly announce this Traditional but popular Tournaments here, in the tournaments discussion group and some fellowship groups to all the best and fast players who are inside the top 10% of any type Gammon Games.

Inside the top 10% any type Gammon player (Back, Nack, Crowded, Race, Hyper, Anti), is eligible to join to all other games in this Tournaments before the begin time. (August 15, 2006).

To check where you are in the ratings click to the related links:

Backgammon
Nackgammon
Anti Backgammon
Backgammon Race
Crowded Backgammon
Hyper Backgammon

Others, outside of top 10% players, will be deleted before the tournaments begin without excuse...

Match type: 3 points match with doubling cube
Tournament type: one match for each two players
Maximum number of players per section: 8
Final match type for two players section: 5 points match with doubling cube
Time control: Time: 2 days, Bonus: 3 hours, Limit: 9 days, no days off (red signed)

(That means after beginning you have 2 days (48 hours) for your first move. Per your another move, you'll have 3 hours bonus for your other move time. 9 days is limit time for the opponents, after the move of other side.)

Please click to the Tournament addresse and 'feel free to join to any type of Gammon Games'. You are eligible to join, to all Gammon games without restriction, only if you inside of top 10% in any Gammon Games';(for now we have only six type of Gammon games).

2006 August: Top 10% - Fast Backgammoners 2006-08

With your join to this Tournament, hope to play good matches and enjoy!

*********************************************

If you interested who were the best and fast in the previous Gammon Tournaments, please click to following addresse:

2006 July : Top 10% - Fast Backgammoners 2006-07
2006 June : Top 10% - Fast Backgammoners 2006-06
2006 May : Top 10% - Fast Backgammoners 2006-05
2006 April : Top 10% - Fast Backgammoners 2006-04
2006 March : Top 10% - Fast Backgammoners 2006-03
2006 February: Top 10% - Fast Backgammoners 2006-02
2006 January : Top 10% - Fast Backgammoners (Invited)

Thank you!

**************************************************************

baddessi:Wooohooo, thanks!!!

to Dolittle for winning the Different Strokes Ludo Tournament!!! Way to go Do!!!!!!

ALL GAMES 1 HOUR

Starts Tomorrow

Pick a GAME that you like!!!!!

Enjoy And Have Fun:)

ALL GAMES 1 HOUR Ludo

WINNER
Myself:)

First time i tryed Ludo

It was a BALL!!!!

Watch for our NEXT ONE

Just Posted 1 hour GAMES

For Tomorrow

Have Fun For Those That Enjoy Them:)

How about some 'live' ludo? I joined Antje 'action points' tourney and it took quite long to complete all my games (more than week, maybe two) and in section 2 games are going even slower with Antje at the top - no completed games. I could risk another tourney of that type but maybe it's better to gather little fellow to play live tourneys every day. Eventualy losing because lack of time isn't that bad in ludo...

Rose: It now fits my screen like it did before.
Thank you.

BrainKing's 4th Birthday will be here soon, so why not another special tournament for it. (I had a Birthday tournament for it's 3rd birthday also.)

►►►►► Happy 4th Birthday BrainKing ◄◄◄◄◄ - September 26, 2006 - 21:00 Local Server Time SIGN UP NOW

---

August 15th - The start of the 14th "Dummies" tournament for players rated below 1500 or unrated will start.

Don't want to be killed by experts?

Want to try a new game?

SIGN UP NOW - Dummies #14 Tournament

Walter Montego: I took the liberty of fixing the long line of text. Should fit on all screens now.

Universal Eyes: Would you be so kind as to retype your previous post so that the width is not so large? Perhaps a carriage return in the middle of the sentence and then updating it is all it would take. You post is larger than the width of my screen and now it makes all of the posts that wide. Thank you.

vic is the Number "1", between 5 good players of the tournament 'Top 10% Faster Backgammoners for 2006-07 (Hyper Backgammon)'

Top 10% Faster Backgammoners for 2006-07

Congratulations vic!

Thanks to all other players, and hope to see in other tournaments!

Top 10% Faster Backgammoners for 2006-07

BlueJ: unfortunately either of those 2 players can win their section (section 21)

from their bkr they seem unperienced in the game on here, and even with experienced players that game (espionage) can take quite long i think

as soon as whisperq wins at least 1 of those game we have a certain winner and something could be done (maybe), when both games are still open i think there cant be done much about it

It was quite fun when someone created "one of the biggest" tournament - Top of the top. Now the progress of the tourney has ended, as it seems that two players are just moving pieces forward and backward, without trying to win. And the tournament is just waiting ...

i don't know if there is anything that can or even should be done. Maybe we other just wait, until they decide to do something?

J

KotDB: I'm impressed with how you figured that out. It is similar to Keno or lottery except those games don't allow the repeating of a number.

I have something I've not worked on in awhile and I wasn't able to figure it out when I did work on it. I am wondering if you or someone else might be able to point out to me where I'm going wrong, or solve it yourself and show me the numbers for me to check and explain how you did it. At least to its completion with the exact number of possible deals, not approximations. It involves the dealing of the first hand in a game of Building. After the first hand is dealt the dealer faces four cards to the table. Similar to what is done in the game Cassino, if you're familiar with that game as I doubt if you know Building, but it doesn't really matter what game it is to understand this problem. The number of cards dealt to each player is seven if they're playing two handed, but that shouldn't have any baring on it either. You could just take a deck of playing cards made for Building and deal the top four cards off the top to solve this problem. But if you need details to help I will gladly supply them. This might not be exactly on topic for this discussion board, but I am the tournament director and get asked about the deal of the four cards and the odds related to the turning of a Jack or Joker or more when someone is dealing. The other problem related to this one is what are the odds and the number of hands turned up when the four cards can taken in one turn by the non-dealer on his first turn. I'll get to the details of that, if you can help me with the turned up cards first. The clearing of the table, if you or someone else is interested in it, can be done through messages or some other board unless it is appropriate on this one. I can solve it through brute force methods and using the fingers on my hands, I've just never attempted to do it as yet.

Anyways, back to the turning up of the four cards. The deck of cards used to play Buiding is the 52 standard deck used for Bridge or Poker plus two Jokers, for a total of 54 cards. When the dealer finishes dealing the players their first hand he faces four cards to the table between them. If any of the four cards turned up is a Joker or a Jack, the card or cards are set aside and another is dealt up to replace each one. If the replacement card is also a Jack or Joker, it too is set aside and another card is dealt up. Since there's four Jacks and two Jokers, the maximum number of cards set aside is six. None or one is the common amount, with two happening on occasion. The most I've ever seen is five and I've seen that three times, but then I've played thousands of games of Building. I've never seen all six turned up, but I'm sure it's possible.

What I've had trouble figuring out in this problem is how many different ways can each amount of Jacks and Jokers be turned up exactly. In Five Card Stud Poker there's an exact number of ways you could have a four of a kind dealt to you and it's not 13, but 624. That's always a good one to puzzle people with. There's 40 straight flushes in Poker that are easily countable on one's hands, no calculator required and they think only 13 four of a kinds, so why does a straight flush rank as the higher hand if there's more of them? I'm old school, a royal flush is a straight flush and not a seperately ranked hand as is now commonly shown in Poker charts. The best straight flush, but still just a straight flush.

It's fairly easy to figure out how many times the four cards will not have any Jacks or Jokers. Since there's 6 cards that are Jacks or Jokers, that leaves 48 that aren't. The first turned up could be any of those 48, the second would be one of the 47 left, the third one of the 46, and the fourth one of the 45. Since these can be dealt in any order, you need to divide the product of these numbers by the number of ways one can group 4 things, which is 24.
48 × 47 × 46 × 45 ­­÷ (4 × 3 × 2 × 1) = 194,580
This can be written 48!/4!44! if you have one of them calculators that does the factorials on it. I'm used to paper and pen, but calculators handle big numbers pretty good nowadays with exact numbers and not approximations. Seems like there's a calculator built right into the computer too. Oh yeah, a computer's original use!

OK, that's easy and I'm sure it's the correct and exact amount of different times the four cards can be turned up without a Jack or Joker amongst them. What happens when one one of the four cards is a Jack or Joker?
48 × 47 × 46 × 6 ÷ (3 × 2 × 1 × 1) = 103,776
or written (48!6!)/(45!3!5!1!)
For two I have 48 × 47 × 6 × 5 ÷ (2 × 1 × 2 × 1) = 16920
or written (48!6!)/(46!2!4!2!)
For three I have 48 × 6 × 5 × 4 ÷ (1 × 3 × 2 × 1) = 960
or written (48!6!)/(47!1!3!3!)
For four I have 6 × 5 × 4 × 3 ÷ (4 × 3 × 2 × 1)= 15
or written (6!)/(4!2!)
So far this is easy enough to follow and can be done with some paper and a deck of cards while imagining different ways of cards being dealt or combinations of sets. The numbers themselves are kind of large, so a calculator comes in handy.

The first four cards can have 0 through 4 Jacks or Jokers in the total of all those different ways and there's an easy check for it too.
194580 + 103776 + 16920 + 960 + 15 = 316,251
The check is 54 × 53 × 52 × 51 ÷ (4 × 3 × 2 × 1) = 316,251
or written 54!/(50!4!)
So far nothing complicated once you see how this is done. My problem is what happens when the dealer finishes dealing the cards to have just four cards turned up that aren't Jacks or Jokers. The turning of the cards after the first four is dependent on the card turn up to replace a turned up Jack or Joker. The more Jacks and Jokers turned up, the more complicated it gets. I tried the two extremes, and maybe you can see what it is that I'm not understanding or overlooking.
The case of when just one Jack or Joker is one the first four cards is fairly straight forward. It happens 103,776 times out of 316,251, which happens about 32.8% of the time and is close to 2 to 1 against it in odds. This and the four cards not having any Jacks or Jokers 61.5% cover a little 94% of the four card combinations that can be dealt.

The case of one Jack or Joker in the first four cards:

The dealer sets it aside and deals another card. If it's not a Jack or Joker, he's done dealing the first hand. He shows the non-dealer the one card that was set aside and then faces it on the bottom of the deck for use later in the deal of the other hands remaining. It no longer matters for this problem. This fifth card that he turned up wasn't a Jack or Joker, so it had to be one the remaining 45 cards. This is the beginning of where I get confused in figuring out the exact number of ways this can happen. Should the number of deals where just one Jack or Joker was faced equal 103,776 × 45? Which is 4,669,920? Since it takes five cards to be dealt when this happens, we'll need to figure the case of one Jack or Joker based on a set of 5 cards, right?
Doing it as {48 × 47 × 46 × 6 ÷ (3 × 2 × 1)} × 45 = 4,669,920 is not the same thing as
48 × 47 × 46 × 45 × 6 ÷ 24 = 1,167,480 A quarter of the other number, but exactly the amount of ways one Jack or Joker can dealt out of a deck of 54 cards into a hand of five cards. Not only that, but the first number is larger than the group it comes from which is 3,162,510, the number of sets of 5 in 54 objects, 54!/(49!5!). I'm obviously missing something. This second number, 1,167,480 is the exact number of times just one Jack or Joker will come up in five cards, but is not the right number for this problem because it includes the case of when the first four cards contain no Jacks or Jokers and the dealing stops before a fifth card (The Jack or Joker) would be dealt. For some reason I think subtracting 194,580 from the any of these numbers will not yield the right answer, though it might be the thing to do with 1,167,480 and get 972,900.

The other extreme is taking the first four cards to be all Jacks and Jokers. This happens 15 times out of 316,251. About .0047% of the time at odds of 316,236 to 15 or exactly 21,082.4 to 1 against. Yep, that doesn't happen much. I can't remember if I've ever seen that happen or not. I have seen four Jacks turned up, but that was after turning some replacement cards for some of the earlier Jacks.

The case of all four of the first four cards being Jacks or Jokers:

In this extraordinary event, the dealer (besides smiling and looking forward to the last hand of the deal), would set all four of the cards to the side and turn up four more cards. If none of these four replacement cards are Jacks or Jokers, he's done dealing the first hand. He picks up the four cards set aside and places them face up on the bottom of the deck for use later in the deal during the last hand.
Just how many times can this happen? It'd seem to be 15 × 194,580 which is 2,918,700. I believe this number might be correct for this particular example, but it isn't number for how many times the dealer might turn up exactly 4 Jacks or Jokers. There are a lot of ways that the dealer might indeed turn up exactly 4 Jacks or Jokers while dealing the four cards to the table. He could deal one Jack or Joker and three other cards in the first four cards and then turn up three consecutive Jacks and Jokers as replacements and then a fourth card not a Jack or Joker, or he could turn up 3 Jacks or Jokers in the first four cards and deal in a number a ways just one more Jack or Joker before getting four cards that aren't Jacks or Jokers. I tried to make a tree diagram for these choices in dealing each replacement card when this situation occurs and I went crazy! It's in the archives somewhere as I haven't worked on this in over fifteen years. When I got the tree diagram to the chance of having all 6 Jacks and Jokers turned up on the deal of the first hand, I had branches everywhere and an impossibly high number of occurances for what would be the rarest event of this deal to happen. The branches stop when 4 cards that aren't Jacks or Jokers are dealt, but go on to a possible ten cards if all the Jacks and Jokers we to be dealt.

My brother saw me working on this problem years ago and came up with a solution that I didn't like as it didn't cover every possible deal or have the exact number of deals for each combination of Jacks and Jokers turned up. He just programmed a computer to randomize 54 numbers and then pretend to deal until there was four numbers not 49 through 54. He had the computer tally each deal and then do it again. He had the computer run all night and then gave me the percentage for 0, 1, 2, 3, 4, 5, 6, Jacks or Jokers being dealt. Definitely not a mathematician's answer, but he's an engineer and didn't see why I wanted exact numbers. His approach did give me an idea for counting the number of ways the four cards and the Jacks and Jokers could be determined. Seeing how he did this over twenty years ago and computers are lots faster nowadays, my idea might actually be practical today. Just have the computer methodically count and go through each possible combination of dealing the cards. Since the first four cards when dealt without a Jack or Joker total is known precisely, you could even skip that part and just do the counting from when one or more are turned up.

Anyways, there's my problem and I'd certainly like some help on it and a way to check the numbers. And of course, any new approach to solving it, or how you solved it would be greatly appreciated. Also, if you'd like the details for the clearing of the table's original four cards by the non-dealer or eldest hand, just ask and I'll get it to you.

Thank you for your help

Nothingness: It is possible precisely because the games are chosen randomly and independently. With 2 sections of 5 players, there are 20 games, each of which is equally likely to be of any given type, regardless of how the other 19 games are assigned.

If you tossed 2 coins, would you be surprised if they came up both heads or both tails? I hope not; they're as likely to be the same as different. What if you tossed 20 coins and they all came up the same? Of course that's much less likely, but it's still possible; in fact you should expect it to happen, on average, once in every set of 524288 sets of 20 tosses.

What if, instead of tossing 20 coins, you take 20 hats, put into each hat 11 cards marked 1 to 11, thoroughly mix the cards in each hat, and draw one card from each hat? Will you be surprised if you don't draw any cards marked 2, 5, or 9? Maybe such an outcome isn't very likely, but certainly it's possible; the only alternative would be for the cards in each hat to be influenced somehow by the cards in the other hats.

Of course that last example is equivalent to how the games in your tournament were assigned. The following table, if I've crunched the numbers correctly, shows the approximate probability of exactly n game types being represented when 20 games are assigned in a random tournament with 11 possible game types.

 n   Prob.
--------------------------------
 1   0.0000000000000000000163508
 2   0.0000000000000857251
 3   0.000000000854404
 4   0.000000532498
 5   0.0000617406
 6   0.00212913
 7   0.0275495
 8   0.150025
 9   0.356337
10   0.351113
11   0.112784

So, if you create many such tournaments, you should expect to see 9 or 10 game types in the first round most of the time. 15% of the time you'll get only 8 types, and all 11 types will be played only 11% of the time.

I jsut created a random game tourney consisting of 11 different games. 3 of which have Zero games in the first rd of play? How is this possible? they are almost all 2 types of the 11 games chosen.

Pedro Martínez: I did as well and had no reply, so I have quit now.

ALL GAMES 1 HOUR Hyper Backgammon

WINNER
gabka8
Congrats:)

Watch For Our Next One

Lots of Excitement Playing Them:)

mrloupcity: yeah made a mistake with it.

Skittles: Quick and a 3 game match. Don't seem to quick to me.

Action Points #1

Pay attention to the time settings!

ALL GAMES 1 HOUR

I Will Be Posting Them every so ofen.

So If You Enjoy A Little Excitement In Your Life.

Try A Game Out!!!!

Thanks Goes Out TO Fencer For New System!!!

ALL GAMES 1 HOUR

Get Those ACTION POINTS

Starts in 3 Hours

Enjoy and Have Fun:)

Need two more players to start "Put Your Money Where the Line is."

CRY ME A RIVER: WTG Mr. Shumway...Congrats!!!

CRY ME A RIVER: Thank you :)

Congrats goes out to Mr.Shumway

WINNER of 1 Hour Hyper Backgammon:)

Ludo For Fast Players A Quick game of Ludo, starts tomorrow.

Just Created 1 Hour Games

All Games.Those that what ACTION POINTS

Join In And Have Some Fun

Starts in 30 Minutes

A little Live Event starting at 17:00h Server time

gambler104: Just change the max number of players to six, and then the tournament will be able to start.

Pedro Martínez: It can't be started because 5 players is the max limit so first place only receives 87.5 or 87 brains. But according to BK rules, first prize must be at least double the entry fee of 50 brains. Since 87.5 can't increase since no more players can join, it will never start because first prize will never reach 100 brains.

Rose: It's possible that tournament creation is more a game of skill than of luck.

Rose: I sent him a PM about two weeks ago......

Pedro Martínez: With any luck at all the tournament creator will take a look at his own tournament and figure it out? We can hope!