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06.19.2008 at 08:39AM PDT, ID: 23499330
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6.7

Poker scoring system

Asked by huji in Puzzles & Riddles

Tags: ,

Here is a puzzle I've been thinking of for a while. Assume that there are five people playing "five-card draw" poker ( http://en.wikipedia.org/wiki/5_card_draw ) using all of the 52 cards in the set. Each is given 5 cards, then they are allowed to either bet or fold. After they all agree on an amount of bet, they change from 0 to 5 cards of their hands with those coming from the remaining cards in the stack. In the end, the player with the best combination wins. ("Best", here, means a hand with lowest probability.)

If there was no "draw" phase, then the probability of each combination would be as described here: http://en.wikipedia.org/wiki/List_of_poker_hands

But because there is a draw phase where people can change upto 5 cards of their hands, (here is the question) would the probabilties change? For example, (and as some poker players say) would this draw phase cause a "flush" to happen less often than a "full house", and so make the flush a "better" hand? ("Better" is defined as less probable, again)

I really am stock with the calculations. As an alternative, I thought of writing a program which would use Monte Carlo simulation to assess this hypothesis, but I got stock again!

Please adviseStart Free Trial
 
Keywords: Poker scoring system
Title
1     Even the Score
2 Holdem poker anyone?
3 Poker or other games
4 Poker game recommendation
5 Excel Poker
6 Poker Algorithm
 
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[+][-]06.19.2008 at 08:47AM PDT, ID: 21823402

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Zone: Puzzles & Riddles
Tags: Poker, Game
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Solution Provided By: Infinity08
Participating Experts: 4
Solution Grade: B
 
 
[+][-]06.19.2008 at 08:49AM PDT, ID: 21823425

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[+][-]06.19.2008 at 08:51AM PDT, ID: 21823454

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[+][-]06.19.2008 at 08:52AM PDT, ID: 21823464

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[+][-]06.19.2008 at 08:55AM PDT, ID: 21823487

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[+][-]06.19.2008 at 09:57AM PDT, ID: 21824104

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[+][-]06.26.2008 at 04:11PM PDT, ID: 21879822

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[+][-]06.28.2008 at 10:19AM PDT, ID: 21891456

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[+][-]06.28.2008 at 10:24AM PDT, ID: 21891475

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[+][-]07.02.2008 at 01:04AM PDT, ID: 21914300

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[+][-]07.02.2008 at 01:27AM PDT, ID: 21914386

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