In poker, math is one of the most important things I need to know to understand if you want to be a winning player. But to understand it, I think it is enough to do school mathematics.
Find out what “outs”, “odds”, “pot odds” are often used by winning poker players in their vocabulary. Without outs, oods and pot odds, no winning poker player would probably be worth it.
Poker Outs
Outs is the number of cards that, when opened, could help you make the desired poker hand in the following rounds. For example:
Have in hand:
The flop fell:
It’s a question: How many drums are there that can help you make one color combination in the next round?
Solution:
We see the drums 4: We hold two drums in our hands and two see them on the table, on the flop. That’s a total of 9 drums in a block that could make a Color combination for us. 13 – 4 = 9 drums in the block. The answer is: we have 9 outs.
Poker Odds
Poker Odds is the ratio between all the cards that won’t help you and the cards that help you in the next round
Let’s say we have two cards:
The flop came:
And the question: What are your odds to catch the Color combination in the next round?
Solution:
We know that there are 52 cards in the pot. We see five: two in the hand and three on the flop.
Of these five cards, there are four cards of the same suit. So there are nine other cards in the pot that would help us make a color combination, that is, we have 9 outs.
There are cards in the stack that do not help us to make a Color combination: Out of 52 cards, minus 5 cards we know and minus 9 cards to help us, we get 38 cards that do not help us in the next round.
The ratio between non-assist and assist cards is: 38/9 = 4.222 / 1
Answer: odds is 4.222 / 1This means that 1 card next will help us to make a color combination and ~ 4 cards will not help us.
Below is a table showing the relationship by how many cards we save in the next round – outs.
OUTS ODDS flop to turn 1 card ODDS flop to river 2 cards
1 46: 1 22.5: 1
2 22.5: 1 11: 1
3 15: 1 7: 1
4 11: 1 5: 1
5 8: 1 4: 1
6 7: 1 3: 1
7 6: 1 2.5: 1
8 5: 1 2: 1
9 4: 1 2: 1
10 3.5: 1 1.5: 1
11 3.5: 1 1.5: 1
12 3: 1 1: 1
13 2.5: 1 1: 1
14 2.5: 1 1: 1
15 2: 1 1: 1
Poker Pot Odds
Poker pot odds are the ratio of the pot amount to the size of your bet.
For example:. The required bets are 100/200. You are in BB and your opponent is in SB. Bank 300 (your 200 bet and your opponent’s small bet 100)
Your cards:
Opponent Cards:
Opponent word: he raises to 400. So the pot is already 600.
To play you need to call 200 or bet. With a total of 600 (your 200, your opponent’s 100 required bet, and your opponent’s additional 300) and the proposed bet size is 200, the pot odds are 600/200 = 3/1.
How to Match Poker Outs, Odds and Pot Odds to the Poker Table?
For example:. The required bets are 100/200. You are in BB and your opponent is in SB. Bank 300 (your 200 bet and your opponent’s small bet 100)
Let’s say we have:
Opponent Cards:
Opponent’s word: And it evens out the bet. So the whole pot is already 400. You do a check and the flop comes down:
Opponent word: he bets 200 to 400 on the pot. The bank has a total of 600. This is the question: Is it profitable to answer 200 and catch the Color combination?
Solution:
9 cards help us with the Color combination. So, here’s a look at the odds for 9 outs:
OUTS ODDS flop to turn 1 card ODDS flop to river 2 cards
1 46: 1 22.5: 1
2 22.5: 1 11: 1
3 15: 1 7: 1
4 11: 1 5: 1
5 8: 1 4: 1
6 7: 1 3: 1
7 6: 1 2.5: 1
8 5: 1 2: 1
9 4: 1 2: 1
10 3.5: 1 1.5: 1
11 3.5: 1 1.5: 1
12 3: 1 1: 1
13 2.5: 1 1: 1
14 2.5: 1 1: 1
15 2: 1 1: 1
We can see from the table that we have 4: 1 odds, so in order to play profitably we need a minimum of 4: 1 pot odds. And our pot odds are: 600: 200 = 3: 1. So answering and catching a color combination is unprofitable. If we had 12 outs, the answer would be neither profitable nor loss-making. If we had 13 and more outs, it would be profitable for us to answer.
