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Pot Odds and Card Odds

Ok, so you've called in the first round of betting with a strong starting hand. If you've flopped a great hand, obviously you will continue playing as the situation warrants. If you've flopped a hand that can be easily beaten, or nothing at all, you fold. But what if you've flopped a hand that could become a great hand, if the cards fell right? Poker is a game of probability. A good poker player will take the odds into account when deciding whether to continue betting on a certain hand. The concept of pot odds is used to compare the odds of completing a hand to the potential payoff.

Calculating pot odds is simple. First, determine the value of the chips currently in the pot. Include any bets that other players have already placed on the table, and factor in any additional bets you think the players after you will make (these are called implied odds). Divide that by the value of the bet you need to call. For example, if there is $6 in the pot and you need to make a $1 bet to call, the pot odds are 1:6. For a $1 bet, you would make $6 if you won. The pot odds will need to be recalculated if another player raises after you. In that case, divide the size of the current pot by your first bet plus the raise.

You calculate the pot odds to determine whether to continue drawing towards a hand that you believe will win. The chart below shows the odds of completing or improving a hand on the turn and river cards, based on the number of outs your hand has. Outs are the number of cards left in the deck that will complete your hand. For example, if you've flopped a four card spade flush draw, and need one more spade to make your hand, then you have nine outs, or nine spades left in the deck. Or, if you're holding Ace-King on the turn, and you figure that either an Ace or a King will give you the winning hand, then you have six outs (three Aces and three Kings).

Compare the odds of making your hand to the pot odds. If the odds of making your hand are higher than the pot odds, then the potential payoff from winning doesn't justify the odds against making your hand, and you should fold. For example, if there is $8 in the pot, and you need $1 to call, then the pot odds are 1:8. You are holding 5c, 6s and the flop is 8c, 9d, Js, an inside straight draw. There are four outs for your hand (four 7's in the deck). The odds of making a hand with four outs is 1:11, greater than the pot odds of 1:8. In this case, you should fold. Another example: There is $8 in the pot, and you need to bet $1 to call, giving you pot odds of 1:8. You have a four card flush draw, giving you nine outs. The odds of making a hand with nine outs is 1:4. In this case, the pot is giving you good odds, and it is appropriate to call or raise.

To use the chart below, find the number of outs you have on the left. The center columns are a guideline as to the number of outs a particular drawing hand has. The right column represents the odds of making your hand on the next card (the turn or river). Use this column to determine your pot odds. The item listed in bold are the most common instances in which you'll need to calculate pot odds.

 

Odds of Completing a Hand on the Turn or River
Outs If you have a… And are drawing to a… Pot Odds
1 Three of a Kind
Inside Straight Flush Draw
Four of a Kind
Straight Flush

1 : 46

2

Pair
Open-ended Straight Flush Draw
Three of a Kind
Straight Flush

1 : 23

3

Overcard (1 high hole card) Pair

1 : 15

4

Two Pair
Inside Straight Draw
Full House
Straight

1 : 11

5

Pair Two Pair or Three of a Kind

1 : 8

6

Overcards (2 high hole cards) Pair

1 : 7

7

Three of a Kind Full House or Four of a Kind

1 : 6

8

Open-ended Straight Draw Straight

1 : 5

9

Flush Draw Flush

1 : 4

12

Inside Straight Flush Draw Straight Flush, Flush or Straight

1 : 3

15

Open-ended Straight Flush Draw Straight Flush, Flush or Straight

1 : 2

But what if you've flopped a three-card straight or flush draw (otherwise known as a backdoor draw)? Is it worth chasing the hand all the way to the river? Remember, you would need two perfect cards to make your hand. Below are the odds of completing a backdoor straight or flush draw on the turn and the river.

Odds of Completing a Backdoor Flush or Straight Draw
Backdoor Flush Draw 1 : 23
Backdoor Open-ended Straight Draw 1 : 38
Backdoor Inside Straight Draw 1 : 71

As you can see, the odds of completing these hands are long shots. Usually you should fold these hands. If you're getting sufficient odds (the pot is huge) or you have multiple draws or overcards (hole cards that are higher than anything on the board), then you can call.