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Math Help: 7 card flush
| November 16th, 2011 at 3:53:25 PM permalink | |
| UCivan Member since: Sep 3, 2011 Threads: 21 Posts: 135 | I wonder if someone could help with the math here? (1) What is the probability of getting a 7-card flush when dealt 7 cards, with 52 standard cards? What if we use 52 cards plus one joker to play, but joker can not be used to make a 7-card flush? I think, the total 7-card flush hands should be the same for these two cases, but the probabilities would be different, right? (2) What is the probability of getting a 7-card flush when dealt 7 cards, playing with 53 cards (52 plus a joker) and that joker can be used to make a 7-card flush? |
| November 16th, 2011 at 4:43:53 PM permalink | |
| Paigowdan Member since: Apr 28, 2010 Threads: 54 Posts: 2111 | A Request for free math help. Best advice: use the resources of the Internet or a TI-30. Here's a poker math site that would bring you mostly all the way there, and is useful. Durango Bill's poker pages Gambling doesn't build character, it reveals..no character. But a lot of characters. |
| November 16th, 2011 at 4:54:11 PM permalink | |
| RoyalBJ Member since: Jul 18, 2011 Threads: 15 Posts: 105 | Yeah, paraphrase Paigowdan, "I don't really know. But, why don't you go to the library yourself, or get a college degree, or pay someone to do it for you". |
| November 16th, 2011 at 4:58:32 PM permalink | |
| ChesterDog Member since: Jul 26, 2010 Threads: 0 Posts: 199 |
In the following, I am counting straight flushes in with other flushes. For a 7-card flush with 7 cards from a 52 card deck, the probability would be 4*combin(13,7)/combin(52,7), or about 1 in 19,491. Using 53 cards and not allowing the joker to help make a flush, the probability would be 4*combin(13,7)/combin(53,7), or about 1 in 22,457. And if the joker may help make a flush, the probabilty would be 4*(combin(13,7)+1*combin(13,6))/combin(53,7), or about 1 in 11,228. |
| November 16th, 2011 at 5:12:46 PM permalink | |
| Paigowdan Member since: Apr 28, 2010 Threads: 54 Posts: 2111 |
Actually, I do indeed know the math, as part of my game development work in Pai Gow Poker. I was also a high school math teacher in Clark County, and know that most students would rather be given the answers instead of doing the math. I have all the tables, the simulation runs, the statistics - all the work and the poop on poker probabilities. But I don't share it outside of DEQ and Lubin-Jones, LLC. Why should I? I do it myself, and if I need extra help on a simulation, I pay Charles, and am happy to do so. There are enough people at this board who will do it on such a request. Opinions, yes; math requests: use Excel or a TI-30 and give it a go yourself. Someone will post it back, fine. Why would Mike or Charles or Stacy or Cindy or Eliot or any game designer or mathematician work for free? We have a lot invested in out IP, we really do. If you took algebra and statistics as part of your education, then why not take out a TI-30 or fire up Excel and give it a go? I was being generous with the link. Gambling doesn't build character, it reveals..no character. But a lot of characters. |
| November 16th, 2011 at 5:19:17 PM permalink | |
| weaselman Member since: Jul 11, 2010 Threads: 16 Posts: 1919 |
Maybe, they just like helping people? I sure hope, they don't really consider answering a trivial high-school level math question "work", or a straightforward combinatorial formula an "IP". "When two people always agree one of them is unnecessary" |
| November 16th, 2011 at 5:23:50 PM permalink | |
| UCivan Member since: Sep 3, 2011 Threads: 21 Posts: 135 | Thanks, ChesterDog, You're definitely more ethical and more generous than some other member. |
| November 16th, 2011 at 5:36:48 PM permalink | |
| Paigowdan Member since: Apr 28, 2010 Threads: 54 Posts: 2111 |
I agree with that fine spirit, totally - but: 1. A there is a lot of "free math" requests that are better handled by googling gaming math sites for this kind of quotidien grunt work, and 2. There is a lot of requests that people can actually do themselves with the High School diploma or GED or Univeristy degree. If you're online, you probably have access to Excel or a TI calculator, and a little self-sufficiency should be encouraged. Use The Link.... Gambling doesn't build character, it reveals..no character. But a lot of characters. |
| December 30th, 2011 at 12:58:09 PM permalink | |
| 98Clubs Member since: Jun 3, 2010 Threads: 10 Posts: 285 | Its that damned Educational Welfare System again. How do any of us know weather or not "7-card Flush" won't appear on the next PGP bonus side-bet? I think I side with inventors here. That was a unique request, much like asking "What are the chances of having a 5-card Poker hand with a 3-card Flush?" Landmines everywhere for the inventors. JMH2c 98Clubs To err is human. To air is Jordan. To arrr is Pirate. |
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