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Your question can be re-written like this: What are the odds of having 4 cards with the same suit, from the 5 available community cards? The answer can be found by using basic probabilities and computing probabilities of composed events. You can have 5 boards in which 4 cards are of the same suit: XXXXY XXXYX XXYXX XYXXX YXXXX Here, X means the suit ...

"Power" of a hand is in practice an oversimplified notion. I will touch equity and your sub-question about what it says about a hand's goodness. If you're just trying to code equity, the Coding the Wheel article others have mentioned is mandatory reading for poker coders: http://www.codingthewheel.com/archives/poker-hand-evaluator-roundup As for the ...

To understand Implied Odds (IO) it's useful to clarify what It's counterpart is, Explicit Odds (EO).  EO describes how much you will win immediately in relation to what you have to risk. This is described in terms of a ratio, Total pot size : Amount we have to call. For example, current pot size is $50. Your opponent bets $50. Therefore, the current pot ...

There are thumb rules for the preflop equity (against a single random opponent) of pocket pairs and suited-connected combos. For the equity of a pocket pair, you calculate how many cards away from 2 your cards are (for example, Queens are 10 cards away from 2), multiply by 3 and add 50%. So QQ's preflop equity is approximately: (10 * 3) + 50 = 80% For ...

There are many elements of information that are vital to know here. Some of them are, Is the call (T$700) the only chip amount you'll have to commit to call? Are any players All-In? Do you need to consider money from the blinds that is in the pot already? Is there a chance that you or your opponent will fold on later streets? and more... Technically, if ...

In tournaments, there are often factors that trump pot odds or implied odds when making decisions. Your stack size (and the comparative positions you'll be left in if you call-and-lose vs call-and-win vs fold) is often first and foremost in that list. In no particular order, other factors include table dynamics (e.g. are you going to have opportunities to ...

The odds of hitting a five flush, given four suited cards on the "flop" in hold'em are about 35%. They are 47% starting from four cards, all to a flush, in seven card stud. Your chances of eventually making the flush go down with each new card that does not "hit" the flush. If it "hits," you chances go up to 100%. Actually four to a flush (or straight) is ...

Many times it is fold or all in with low stack. In this case an all in would double up. I'm assuming your stack is small relative to the BB. Sometimes you have to take a chance if you don't want to die by the blinds. If pot odds were in my favor and I had a small stack (<15 BB) I would go all in.

In limit poker, implied odds refer to what you can collect in future bets from an opponent, if you complete your draw (e.g. to a straight or flush) and make your hand. Let's say that you are playing $5-10, and your opponent has bet $10 on the turn with say, a pair, making a pot of $90. If you are drawing to a straight or flush (4- to -1 against), those are ...

First off, the statement in your question is not the norm: They have an obvious advantage of knowing about more cards that are in the play than they should, and they can strategically bet against one another to increase the pot (encouraging other players to play in hopes of winning). Almost always when players collude, they are typically protecting ...

I know several people who've been asking about this for years. Intuitively - you'd think the answer is surely yes. It's also pretty easy to construct scenarios in which you'd think you'd gain an advantage. However - the reason I suspect you don't gain a significant advantage is that, as long as I've been playing Foxwoods and Vegas - the casinos make ...

They have an obvious advantage and so will earn more in the long run, that's pretty clear! Also playing together and playing both separately would lead to the same amount money, so they are not risking more money just together (same argument for the profits.) Now I don't really know to much about collusion and specifically what edge it can give you but I ...

In tournament play they definately have an advantage as they can tell the other person to fold when they have a monster hand therefore not risking their tournament life. They can also very easily help to stack the other person up a bit if they are getting low on chips to keep them in the tourney that little bit longer etc. As far as in cash games, I dont ...

Sadly, I dont know about any scientific proof, so I can give you just my thoughts. Lets say we have 2 players, each one with a skill to win 1bb/100 hands. If they dont collude, each of them wins 1bb/100 hands = 2bb When they start to collude, both of them get advantage as you mentioned, so lets say this increases their EV to win 2bb/hands. So they both ...

Getting 3:1 pot odds means we have to win 1 in every 4 times to break even. To give some intuition, if we win 3 times what we risk every cluster of 4 hands, our net gain looks like (-1 -1 -1 +3) + (-1 +3 -1 -1) + (+3 -1 -1 -1) + ... = 0 Anytime we win more often, we are making money. More formally, we can derive this directly from our familiar equity ...