Odds and Sods - Probabilities and Odds for Best Poker Bets

Basic Probabilities

Probability of being dealt:

Odds of connecting with the Flop in Hold’em

Odds On the Flop in Texas Hold’em

Outs

This is especially where “outs” come into your line of thinking and how all of these Texas Hold’em odds are generated. For example, if you have 4 cards to a flush you have 9 outs to make your hand on the turn. There are 13 cards per suit and you have 4 of them.

There are 9 unknown cards left that could complete your flush so you have 9 outs out of 47 total unknown cards (52 cards in the deck – your 2 cards and – 3 more on the flop). This is how Texas Hold’em odds are calculated. 9/47 = 19.1, or a 19.1% chance to hit your flush on the turn.

Straight and Flush Draw Odds

Drawing to open-ended straights and flushes, or fear of your opponents doing so, is one of the most common scenarios in Hold’em.

On the flop, when you have:

Note that the figures above also apply on the turn to calculate odds for the river since you have the same 1 card to come.

Odds of hitting a hand by the river from the flop

The following set of odds is the likelihood to complete these hands by the river on the flop, so with 2 cards to come.

On the flop, when you have:

All-in One-on-One in Texas Hold’em

Preflop matchups when played to showdown:

Extra Texas Hold’em odds

OUTS & ODDS

  Flop to Turn   Turn to River   Turn and River  
Outs % Odds % Odds % Odds
20 42.6% 1.35-1 43.5% 1.30-1 67.5% 0.48-1
19 40.4% 1.47-1 41.3% 1.42-1 65.0% 0.54-1
18 38.3% 1.61-1 39.1% 1.56-1 62.4% 0.60-1
17 36.2% 1.77-1 37.0% 1.71-1 59.8% 0.67-1
16 34.0% 1.94-1 34.8% 1.88-1 57.0% 0.75-1
15 31.9% 2.13-1 32.6% 2.07-1 54.1% 0.85-1
14 29.8% 2.36-1 30.4% 2.29-1 51.2% 0.95-1
13 27.7% 2.62-1 28.3% 2.54-1 48.1% 1.08-1
12 25.5% 2.92-1 26.1% 2.83-1 45.0% 1.22-1
11 23.4% 3.27-1 23.9% 3.18-1 41.7% 1.40-1
10 21.3% 3.70-1 21.7% 3.60-1 38.4% 1.60-1
9 19.1% 4.22-1 19.6% 4.11-1 35.0% 1.86-1
8 17.0% 4.88-1 17.4% 4.75-1 31.5% 2.17-1
7 14.9% 5.71-1 15.2% 5.57-1 27.8% 2.60-1
6 12.8% 6.83-1 13.0% 6.67-1 24.1% 3.15-1
5 10.6% 8.40-1 10.9% 8.20-1 20.3% 3.93-1
4 8.5% 10.75-1 8.7% 10.50-1 16.5% 5.06-1
3 6.4% 14.67-1 6.5% 14.33-1 12.5% 7.00-1
2 4.3% 22.50-1 4.3% 22.00-1 8.4% 10.90-1
1 2.1% 46.00-1 2.2% 45.00-1 4.3% 22.26-1