Lesson 17 [Beginner] Pot Odds Calculation

The core of pot odds is "mathematical decision-making."

Basic Strategy

Calculate pot odds to decide whether to call.

Game situation: 1/2 cash game, when you face a bet on the flop or turn

What are pot odds?

• The ratio of the amount you can win from the pot compared to the amount you have to call.
• Example: Pot $100, opponent bets $50 → If I call $50, I have a chance to win $150.
• Pot odds = $50 : $150 = 1 : 3 (or 25%)
• Meaning: If you win just 1 out of 4 times, you won't lose money in the long run.

Pot Odds Calculation Formula

• Ratio Method: Call amount : (Pot + Opponent's bet)
• Percentage Method: Call amount / (Pot + Opponent's bet + Call amount) × 100
• Example: $50 call / ($100 pot + $50 bet + $50 call) = $50 / $200 = 25%

There are three reasons for doing this:

• Math, not emotion: Using pot odds allows you to make mathematically correct decisions instead of emotional ones.
• Long-term profit: Even if you lose in the short term, if the pot odds are correct, you can make money in the long run.
• Playing draws: You can accurately decide whether to call when you have a flush draw or a straight draw.

Responses by Situation

1. Flush Draw (9 outs)

Completion probability from flop to turn is about 19% (9/47). Call if the pot odds are 4:1 (20%) or better. Example: Pot $100, opponent bets $25 → Pot odds of 1:5 (16.7%) are not enough, so fold or raise as a bluff.

2. Open-Ended Straight Draw (8 outs)

Completion probability from flop to turn is about 17% (8/47). Call if the pot odds are 4.8:1 (17%) or better. Example: Pot $100, opponent bets $20 → Pot odds are 1:6 (14%), so you can call.

3. Gutshot Straight Draw (4 outs)

Completion probability from flop to turn is about 8.5% (4/47). You should call if the pot odds are 10.75:1 (8.5%) or better. Example: Pot $100, opponent bets $50 → Pot odds are 1:3 (25%), so the pot odds don't match. Fold.

Things to Consider

When your opponent bets, calculate in this order:

1. What is the current pot size? (excluding opponent's bet)
2. How much did the opponent bet?
3. How much do I need to call?
4. Pot odds calculation: Call amount / (Pot + Bet + Call)
5. Is my win probability higher than the pot odds?

Example Hand Analysis

Example 1: Pot Odds Match with a Flush Draw

Game: 1/2 cash game, stack 200BB
Position: BTN
Pre-flop: Hero raises $6 from the BTN (A♠ Q♠), BB calls
Flop: K♠ 9♠ 3♥, BB bets $10
Pot: $23 ($10 flop bet + $13 original pot)

Thought Process:

1. "Who is structurally favored on this board?"
   → I have a nut flush draw (9 outs).
2. "What role does my hand play within the range?"
   → A flush will be completed on the turn with 19% probability.
3. "Does my opponent have enough hands to fold / do they call a lot?"
   → Pot odds calculation: $10 / ($13 + $10 + $10) = $10 / $33 = 30%. Since this is higher than my 19% win probability, the pot odds don't match.

Conclusion: Fold or raise (bluff)

Comment: Calling is not enough based on immediate pot odds alone. However, considering implied odds (Lesson 18), you can call. Alternatively, you can bluff with a raise to win the pot or get a free card.

Example 2: Pot Odds Match with an Open-Ended Straight Draw

Game: 1/2 cash game, stack 180BB
Position: BB
Pre-flop: BTN raises $6, Hero calls from the BB (9♠ 8♠)
Flop: J♣ T♦ 6♥, Hero checks, BTN bets $8
Pot: $21 ($8 flop bet + $13 original pot)

Thought Process:

1. "Who is structurally favored on this board?"
   → I have an open-ended straight draw (completes with a 7 or Q, 8 outs).
2. "What role does my hand play within the range?"
   → A straight will be completed on the turn with 17% probability.
3. "Does my opponent have enough hands to fold / do they call a lot?"
   → Pot odds calculation: $8 / ($13 + $8 + $8) = $8 / $29 = 27.6%. Since this is higher than my 17% win probability, immediate pot odds don't match.

Conclusion: Call (considering implied odds)

Comment: Immediate pot odds are not enough, but if the straight completes, there are implied odds to get more money from the opponent. Also, there's a backdoor flush draw, providing additional outs.

Example 3: Pot Odds Don't Match with a Gutshot

Game: 1/2 cash game, stack 200BB
Position: CO
Pre-flop: Hero raises $6 from the CO (K♣ Q♦), BB calls
Flop: A♠ J♥ 7♣, BB checks, Hero bets $8, BB calls
Turn: 4♦, BB bets $20
Pot: $49 ($20 turn bet + $29 original pot)

Thought Process:

1. "Who is structurally favored on this board?"
   → I have a gutshot straight draw (completes with a T, 4 outs).
2. "What role does my hand play within the range?"
   → A straight will be completed on the river with 8.7% probability.
3. "Does my opponent have enough hands to fold / do they call a lot?"
   → Pot odds calculation: $20 / ($29 + $20 + $20) = $20 / $69 = 29%. Since this is much higher than my 8.7% win probability, the pot odds don't match.

Conclusion: Fold

Comment: Gutshots have a low completion probability, so pot odds rarely match. To call $20, the pot would need to be at least $200, but it's currently only $29. Folding is the correct mathematical decision.

Example 4: Pot Odds Calculation for a Bluff Catcher

Game: 1/2 cash game, stack 220BB
Position: BTN
Pre-flop: Hero raises $6 from the BTN (K♦ J♦), BB calls
Flop: K♠ 8♣ 3♥, BB checks, Hero bets $6, BB calls
Turn: 5♠, BB checks, Hero bets $15, BB calls
River: 2♣, BB bets $40
Pot: $94 ($40 river bet + $54 original pot)

Thought Process:

1. "Who is structurally favored on this board?"
   → I have a bluff catcher with a weak top pair.
2. "What role does my hand play within the range?"
   → I beat my opponent's bluffs but lose to their value bets.
3. "Does my opponent have enough hands to fold / do they call a lot?"
   → Pot odds calculation: $40 / ($54 + $40 + $40) = $40 / $134 = 30%. If my opponent bluffs 30% or more, calling is profitable.

Conclusion: Call (depending on opponent's tendencies)

Comment: Bluff catchers can be decided by pot odds. If you think your opponent bluffs 30% or more, call; otherwise, fold. Utilizing opponent type classification from Lesson 13 can lead to more accurate decisions.

Key Patterns Summary

Pattern 1: Pot odds = Call amount / (Pot + Bet + Call)

Pattern 2: Flush Draw (9 outs) = approx. 19% win probability

Pattern 3: Open-Ended (8 outs) = approx. 17% win probability

Pattern 4: Gutshot (4 outs) = approx. 8.5% win probability

Pattern 5: If win probability is higher than pot odds, call

Pattern 6: Also consider implied odds (Lesson 18)

Quiz

Question 1
Pot $100, opponent bets $50. What are the pot odds I need to call?

A) 20%
B) 25%
C) 33%
D) 50%

Question 2
What is the approximate turn completion probability for a flush draw (9 outs)?

A) 8.5%
B) 17%
C) 19%
D) 35%

Question 3
Pot $50, opponent bets $25. Open-ended straight draw (17% win probability). Should I call?

A) Yes (pot odds match)
B) No (pot odds don't match)
C) Raise
D) All-in

Question 4
What are the minimum pot odds required to call with a gutshot straight draw?

A) Approx. 5% or more
B) Approx. 8.5% or more
C) Approx. 17% or more
D) Approx. 30% or more

Question 5
What is the biggest reason to use pot odds?

A) To deceive opponents
B) Mathematically correct decision
C) To make decisions quickly
D) To express emotions

Answers and Explanations

Question 1
Answer: B) 25%

Explanation: Pot odds = $50 / ($100 + $50 + $50) = $50 / $200 = 25%. This means that if you win just 1 out of 4 times, you won't lose money in the long run.

Question 2
Answer: C) 19%

Explanation: A flush draw has 9 outs, and the completion probability on the turn is 9/47 = approx. 19%. From the flop to the river, it's about 35%.

Question 3
Answer: B) No (pot odds don't match)

Explanation: Pot odds = $25 / ($50 + $25 + $25) = 25%. Since the 17% win probability is lower than the 25% pot odds, immediate pot odds don't match. However, considering implied odds, you can call.

Question 4
Answer: B) Approx. 8.5% or more

Explanation: A gutshot has 4 outs, with an approximate 8.5% win probability. Since the pot odds need to be 8.5% or better, a ratio of approximately 10.75:1 is required. For example, to call $10, the pot must be at least $107.50.

Question 5
Answer: B) Mathematically correct decision

Explanation: Using pot odds allows you to make decisions based on math, not emotion. It helps distinguish between profitable and unprofitable calls in the long run, leading to consistent profit.