Two Plus Two Older Archives Yahtzee Texas Holdem
 FAQ Members List Calendar Search Today's Posts Mark Forums Read

#1
12-28-2005, 10:46 PM
 Guest Posts: n/a
Yahtzee Texas Holdem

There are 9 types of winning hand :

Winning Hands Reference Chart

A Straight beats a Full House and a Flush beats Four Of A Kind. [img]/images/graemlins/wink.gif[/img]

It's holdem with dice. There's 20 dice like in the picture which are 'shuffled' in the bag. You get 2 hole dice then there's a flop, turn &amp; river.

You auto win the game if you get a 'Yahtzee Flush'. Five dice of the same number and suit. Can anyone work out the odds of getting one?

Yahtzee Texas Holdem Review

#2
12-29-2005, 05:53 AM
 BruceZ Senior Member Join Date: Sep 2002 Posts: 1,636
Re: Yahtzee Texas Holdem

Cool, Hold'em Yahtzee.

[ QUOTE ]
You auto win the game if you get a 'Yahtzee Flush'. Five dice of the same number and suit. Can anyone work out the odds of getting one?

[/ QUOTE ]

number of flush Yahtzees = 4 colors * 6 numbers <font color="red">* C(15,2) other 2 dice * 6^2 numbers for other 2 dice</font>

total combinations = C(20,<font color="red">7</font>) dice * 6^<font color="red">7</font> number combinations

6*4*C(15,2)*6^2 / [C(20,7)*6^7] =~ 239,204-to-1.

This would include cases where the flush Yahtzee is on the board, which wouldn't be an automatic win. To exclude these cases, multiply the above probability by the fraction of flush Yahtzees which are not on the board [C(7,2)-1]/C(7,2) to get 251,164-to-1.
#3
12-29-2005, 10:13 AM
 Guest Posts: n/a
Re: Yahtzee Texas Holdem

that should be C(20,7) not C(20,5) since you get 7 dice to make a hand with shouldn't it?
#4
12-29-2005, 10:42 AM
 BruceZ Senior Member Join Date: Sep 2002 Posts: 1,636
Re: Yahtzee Texas Holdem

[ QUOTE ]
that should be C(20,7) not C(20,5) since you get 7 dice to make a hand with shouldn't it?

[/ QUOTE ]

You're correct. I was only considering 5 dice hands, as in the original Yahtzee. Since there are 7 dice, there are also a lot more Yahtzee flushes since the other 2 dice can be anything. I made the changes to my original post in red.

 Thread Tools Display Modes Hybrid Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Forum Rules
 Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home Two Plus Two     Two Plus Two Internet Magazine     About the Forums     MOD DISCUSSION     ISOP General Poker Discussion     Texas Hold'em     Beginners Questions     Books and Publications     Televised Poker     News, Views, and Gossip     Brick and Mortar     Home Poker     Poker Beats, Brags, and Variance     Poker Theory Limit Texas Hold'em     Mid- and High-Stakes Hold'em     Medium Stakes Hold'em     Small Stakes Hold'em     Micro-Limits     Mid-High Stakes Shorthanded     Small Stakes Shorthanded PL/NL Texas Hold'em     Mid-, High-Stakes Pot- and No-Limit Hold'em     Medium-Stakes Pot-, No-Limit Hold'em     Small Stakes Pot-, No-Limit Hold'em Tournament Poker     Multi-table Tournaments     One-table Tournaments Other Poker     Omaha/8     Omaha High     Stud     Other Poker Games General Gambling     Probability     Psychology     Sports Betting     Other Gambling Games     Rake Back     Computer Technical Help Internet Gambling     Internet Gambling     Internet Bonuses     Software 2+2 Communities     Other Other Topics Other Topics     Sporting Events     Politics     Science, Math, and Philosophy     The Stock Market

All times are GMT -4. The time now is 05:45 AM.