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TEXAS HOLD'EM POKER

Calculating the Odds

Play the odds – not your hunches.

 
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GAME RULES STARTING HANDS WINNING PLAYS GLOSSARY
Bluffing   |   Pot Odds   |   Reading the Board   |   Tournament Play
Calculating the Odds
When playing Texas Hold’em there will be are plenty of times when you need a certain card to show itself on the flop, or turn, or the river. So, it will be helpful to know what the odds are that on the river you will catch the heart you need for your flush, or the third nine you need to go with the two in your hand.
To work out your chances of finding the card you need on the board is not as complicated as it might at first have seemed. You will need to know just two things – how many ‘outs’ you have, and the number of unseen cards.
Outs
'Outs' are simply the number of cards that can make your hand. If you are looking for that flush on the river, there are 9 cards that can help you. Since there are 13 hearts in the deck and 4 of them are in your hand or on the board, there must be 9 hearts remaining.
Unseen Cards
The second thing to know in orderr to calculate the odds is the number of unseen cards. Since two cards are in your hand, and just prior to the river there are four cards on the board, that leaves 46 cards remaining out of a deck of 52.
Calculating the Odds
Calculating the odds becomes simple arithmetic. 9 is the number of cards that can help you, and 46 is the total number out there. Divide 9 by 45 and you have your odds. (9÷46=19.56%)
Ok, if you’re not too hot with the maths, commit a few to memory.
Flush: When holding a four flush, the odds of catching it on the turn are roughly 19%. Catching it on the river, the odds are roughly 19%. Catching it on either the turn or the river is 35%
Open-Ended Straight: The odds of catching your card on the turn are 17%. On the river it’s 17%. On either the turn or the river it’s 31%
Gutshot Straight: Catching your card on the turn is 8%. Catching your card on the river is 8%. Catching it on the turn or the river, 16%

Trips: To turn a pair into Three-of-a-Kind on the turn, odds are 4%. Catch at the river, 4%. Catch at the turn or the river, 8%. With pocket pairs it is more likely you'll want to catch on the flop. Odds of that are 12%

 

 

 

 

 

 

 

 

 

 

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