Pro Poker Guide's Calculate Poker Odds & Outs
In order to compute the odds of finding the card you need on the board, you will need to know two things. The first is how many "outs" you have. "Outs" are the number of cards that can make your hand.
Flush Draw Outs Example
You're holding 69 and the flop is AKQ
You are looking for that flush on the turn, there are 9 cards that can help you. (13 hearts in the deck - 4 hearts in your hand or on the board = 9 hearts remaining).
Since two cards are in your hand, and three are on the board, there are 47 card remaining. (52-2=50 followed by 50-3=47). Now computing the odds is a simple division problem. 9 cards that can help, divided by 47 cards out there, equals 19.1%. (9 ÷ 47 = 19.14%). You have a 19.1% chance of hitting the flush on the turn card.
You are still looking for that flush, and you only have the river left to help you. You still have 9 outs, but your odds are slight higher now that we seen one more card. There is now 46 cards left. 9 ÷ 46 = 19.6% of you hitting the flush on the river.
That right there is how we calculate poker outs and odds.
Poker outs for common hands:
Flush Outs: Catching it on the turn are 19.1%, on the river is 19.6%. Catching it on the turn or the river is 35.0%
Open Ended Straight Outs : Catching your card on the turn, 17.0%. On the river, 17.4%. On the turn or the river, 31.5%
Inside Straight Outs: Catching your card on the turn, 8.5%. On the river, 8.7%. Catching it on the turn or the river: 16.5%
Poker Outs Chart and Example
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