How To Calculate Poker Probabilities
how to calculate poker probabilities
How do you calculate the odds of being dealt a specific poker hand?
Want to learn how to solve these types of problems for math class.
Playing poker against 1 opponent, if you are holding J(s) & 10(h) and the flop is K(s),10(s),J(d). The turn is Q(s). The next card was already burnt, so the next card is the river. What is the probability of hitting a
1)Straight
2)Flush
3)Full house
4)Striaght flush
5)Royal Flush
not knowing what cards your opponent has or which cards have been burnt thoughout this hand.
Can someone help explain this.?
Okay, I don't know all the Lingo, so I'll just add a little Probability stuff.
There are 52 cards in the Deck, so 1 in 52 (approx 2%, a little under) of a Particular card coming out.
Except 6 are Accounted for, so a Particular card is 1 in 46 (a little over 2%)
1) looks like 10-K is drawn, so A or 9 any suite will fill, or 8 of the 46....1 in 6
2) 13 cards are (s), but 4 are out, 9 in 46, 1 in 5
3)10 or J any suit left, and there are 2 of each-1 of those get the 3, 1 in 11..(.but there are other combos, 1 10 or J plus 1 K or Q, or 2 K or 2 Q...if that meant 1 card left to draw-only the First is do-able.)
4)A(s)or 9(s) 1 in 23 (note 1 in 4 of the straight, 2 in 9 of the flush)
5)A(s) 1 in 46
The cards in the Hand, or Burnt, do not Change the Probability, as they are Unknown, thay are Counted in the 46.
2 OpHand+1 Brnt+ 43 deck
In Reality, any Card could be in the Opponant hand or Burnt and Out, making the Probability of it being drawn 0%, BUT you can Only work with the Cards you Know. That is why you count the 46, each card, Including the Out Cards, has the same Chance 1 in 46, of being a Particular card. It's like tossing a Coin 50 times, and Guessing what the 31st will be. The other 49 tosses or the Results are Immaterial-it's a 50% chance, even if you throw 30 Heads in a row before it.
I hope:
1) I understood this Right
2)Did my Math Right
3)Explained Right
4) Helped
5) That you have a Great Day!
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Great Falls Poker Rooms - Texas Holdem Odds
Texas holdem odds are used by players as basis on what to act in the game. In other words you are calculating the probability of getting a flush or a straight, the probability of getting an overcard, the probability of getting set to match your pocket pair. They say that to have a full knowledge about odds can be the key to winning in Texas holdem.
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When we talk about poker odds, these are the terms that you’ll often encounter. The outs are the number of cards left in the deck that will improve your hand. Pot odds are the odds that you get when analyzing the current size of the pot against your next call. Bet odds are the odds that you get as a result of evaluating the number of callers to a raise. Implied odds are the odds you are getting after the assumed result of betting for the remainder of the hand.
Among those odds, what the players commonly use are the outs and the pot odds. This means that you are going to get a lot of counting on this aspect. Computing for the odds is as simple dividing numbers. The numerator is the number of outs and the denominator is the number of cards that we have not seen. The answer is the percentage chance of making one of those outs. You will be dividing small numbers by 50 on the preflop, 47 after the flop and 46 after the turn.
For the pot odds, all you have to do is you compare your outs or your chance of winning to the size of the pot. You can say that you have good pot odds if your chance of winning is significantly better than the ratio of the pot size to a bet.
All these odds when can be sometimes confusing but with more practice and understanding how odds are computed it will later on just come out naturally.
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About the Author
This author is fond of Montana Poker and Great Falls Poker Rooms.
