Introduction to calculating odds and percentages

Every poker player who has ever sought to increase their knowledge of the game has probably heard of poker odds and percentages. In this article, we'll give you a very basic and accessible introduction to this subject.

Calculating poker odds

When we read someone saying "I had odds of 4:1" what does that mean? Let's look at two examples to learn how to better interpret this data.

Example 1: If someone gives us odds of 4:1 or 4 to 1, we can interpret this to mean that we need to win 1 out of every 5 times in order to breakeven in the situation used (0 to 0). We could also say that every 4 times we lose we have to win 1, making a total of 5.

Example 2: If the pot has $14 on the river and we need to pay $4 to win it, what are the odds for the call? Since the size of the pot is $14 and we need to pay $4, let's describe it as 14:4 or 14 to 4. We want the second side to be reduced to 1, so we divide the first number and the second number by the second number: (14/4):(4/4) = 3.5:1.

Converting odds into percentages

Example: To calculate the percentage we have of winning using the odds of 4:1, we first add up 4+1 and put this number as the denominator. In the numerator we put the number 1. So 4:1 odds are actually 1/5 or 0.20, which is the same as 20%.

Some common odds converted into percentages:

5:1 = 16.7%
3.5:1 = 22.2%
3:1 = 25.0%
2.5:1 = 28.6%
2:1 = 33.3%
1.5:1 = 40%
1:1 = 50%

Converting poker percentages to odds

First we divide the percentage by 100 to get a decimal number. We then subtract this number from 1. Step 3: the resulting decimal goes on the right and the previous one on the left. Step 4: we then reduce both sides to arrive at the number 1 on the right.

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Example 1: converting odds from 20%

Step 1: 20/100 = 0.20
Step 2: 1 - 0.20 = 0.80
Step 3: 0.80 : 0.20
Step 4: .80/.20 : .20/.20 = 4:1

Now that you know how to calculate the odds, all you have to do is practice reasoning using your previously acquired knowledge of outs, and relate the data, trying to always think about whether a move is profitable or not!

Example:

Player 1: :4s :5s
Player 2: :Jd :Jc

Board: :Qs :6s :8c :Kd

Our opponent has a pair, and in this case, the only cards that save us on the river are spades or a 7, for the straight.

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Knowing this, we know that we have 9 outs from the flush and 3 from the straight, for a total of 12 outs - which represents a 27.2% chance of hitting a winning card on the river.

NOTE: In this example, we'll assume that we know our opponent's cards.

The pot is $1,000 dollars, and the villain bets $500. Should we call?

The odds are 2:1, or 33.3%.

Although the temptation is great, we will hit our hand fewer times than the number of times necessary to make this move profitable in the long term, according to the odds, so the right thing to do is fold.

Article translated and adapted from: Calculating Odds

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9 COMMENTS

  1. Regarding the calculation made in the example of the hand with the 4 and 5 of spades, wouldn't the correct calculation be 12 outs to the flush? And the sum of the percentages: (1/13 = 7.6%)+(1/4= 25%) = 32.6%?

    • There are 13 spade cards in the deck, we already know 4 of them (our 4 and 5 and the two on the table), so there are 9 cards left to complete our flush.

  2. Hello, I know that my comment is a little late, but I believe that many like me are starting out and I have doubts about this ODD calculation.
    It wouldn't be right;
    Outs;
    Player 1:
    Player 2:
    Board:
    - 12 outs x 2 for being on the turn = 24 outs
    - 24 - 100 = 76/24 = 3.16 : 1 = 1/4.16 = 0.24 x 100 = 24.03%
    Pot Odd;
    -The pot is $1,000 dollars, and the villain bets $500 = Pot Odd $1500
    - $ 500 / $ 1500 = 0.33 x 100 = 33.33%
    – 1 – 0,33 = 0,67/0,33 = 2,03 : 1.
    So it doesn't pay to pay the call.
    But the big question is the calculation of the outs, which way is correct.

    • Hello, Lucas.

      You call 500 in a pot of 2,000, because the 500 from your call you will also receive if you win the pot.

      Att,

      • Even so, we're getting odds of 3:1 and not 2:1, so the equity needed to call is 1/4 or 25%.

        pot=> $1.000,00

        villain bet=> $500,00

        hero has to pay=> $500,00

        total pot=> $2000,00

        500 / 1000 + 500 + 500

        500 / 2000

        1 / 4 = 0,25 = 25%

        1 – 0,25 = 0,75

        (0,75 / 0,25) : (0,25 / 0,25)

        3 : 1

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