2. I've come across a paradox: the closer it is to the river, the odds become better for a favorable card to get turned. However, I think that while mathematically your chances improve, the chances that your opponents will improve outstrip your chances by a factor of (p-1).
3. If I want to calculate the odds for a straight or a flush, that's going to require extensive delineation of possible combinations, innit? Which means it might be best to find a poker book that details these odds?
4. I forget how to do the simple analysis: you have 3 chances of landing a certain card with (51-2p) cards left in the deck; what are the chances of that exact card coming up?
― Leee Iacocca (Leee), Friday, 12 December 2003 22:48 (twenty-one years ago)
― gygax! (gygax!), Friday, 12 December 2003 22:49 (twenty-one years ago)
― Markelby (Mark C), Friday, 12 December 2003 22:57 (twenty-one years ago)
So say you can see 10 cards, none of which is the ace of spades, your chance of not getting the ace of spades next card are 41 in 42. Cibe that and you have your odds of not getting it at all. 68921 out of 74088. That's about a 7% chance of getting your card.
― Martin Skidmore (Martin Skidmore), Friday, 12 December 2003 23:03 (twenty-one years ago)
― Leee Iacocca (Leee), Friday, 12 December 2003 23:05 (twenty-one years ago)
― D Aziz (esquire1983), Friday, 12 December 2003 23:13 (twenty-one years ago)
― Martin Skidmore (Martin Skidmore), Saturday, 13 December 2003 00:10 (twenty-one years ago)
― robin (robin), Saturday, 13 December 2003 03:25 (twenty-one years ago)
also you only need to look at the situation that you see when you bet -- i.e. if you're waiting for two cards to be dealt, the odds won't be different if they're dealt to another player first, then you (they will change *as the cards are being dealt* but that doesn't affect your betting prior).
but this is all for seven card stud which is my fav. game.
for hold 'em i think its much simpler, coz everyone gets their hole cards first and you just care about the communal cards. furthermore, the odds change the same for everyone as each card is dealt, at least as far as yr. concerned. so pretty much you're just betting on the goodness of your hand and its chances of getting *rilly* good as compared to hypothetical hands. also since you don't know yr. opponents hands you can treat them as part of the "deck" so all your odds are gonna be out of (50-communal cards showing).
like robin sez though the trick, especially when the odds are this basic, is gonna all be in reading your opponents and knowing their "tells" and knowing their betting patterns and also making sure you limit your tells and keep your betting patterns off balance.
good casual disinterested patter and a sharp eye for what your opponents are doing physically (shifty? excited? checking cards often? muttering? rocking? pensive looking? scratching nose?) works wonders.
― Sterling Clover (s_clover), Saturday, 13 December 2003 04:14 (twenty-one years ago)
you need one heart to complete a flush -- roughly a bit less than one in four odds, for example, and each other showing heart decreases the chances a bit more and each other showing *any other card* increases the chances an even more marginal bit more (roughly one third of the amount a heart decreases them).
think in terms of cancelling differnet bits of the odds out against one another.
also make sure you know the odds yr calculating are the right ones. like say you have one heart, and all three in the common pool are hearts. so you have a bit less than 1/4 + 1/4 = 1/2 chance of getting a flush.
but yr opponents have a roughly 1/2 chance of getting a flush if you do (i.e. a 1/2 chance that one of their two cards is ALSO a heart) and also a roughly 1/16 (= 1/4 * 1/4) chance of already HAVING a flush (i.e. that BOTH their cards are hearts).
depending on how many opponents you have these odds get worse for you. like if you have four opponents then in total someone else is gonna have a flush if you do more often than not (4/1 odds) which means you should *really* be concerned about having a high heart still.
etc.
― Sterling Clover (s_clover), Saturday, 13 December 2003 04:41 (twenty-one years ago)
― El Santo Claus (Kingfish), Saturday, 13 December 2003 07:18 (twenty-one years ago)
2. I'm not sure I understand you here - are you simply saying that the more players in the pot means there's a greater chance that one of them improves instead of you?
3. Yeah, kinda. A book might help, or a web page.
4. I'm not sure what you mean by (51-2p) cards left. Pre-flop, the odds of one specific card (like the Ace of Spades, the Ace of Spades) coming in the 5 community cards will be 1-((49/50)*(48/49)*(47/48)*(46/47)*(45/46)), assuming that it's not already in your hand, obviously.
Hope that helps.
― The Yellow Kid, Saturday, 13 December 2003 08:29 (twenty-one years ago)
(I am still useless at it, though. They, on the other hand, usually make enough money playing it online to cover their rent, if not become pro)
― caitlin (caitlin), Saturday, 13 December 2003 11:30 (twenty-one years ago)
― Leee Smith (Leee), Thursday, 1 January 2004 21:03 (twenty-one years ago)
― robin (robin), Friday, 2 January 2004 03:29 (twenty-one years ago)
― Leee Smith (Leee), Saturday, 3 January 2004 01:13 (twenty-one years ago)