Poker Hand Odds You Must Know

To have a reasonable chance at beating your next Texas Hold 'Em game, I believe that you must memorize the following table. It shows the probability of catching an 'out' on the turn/4th street (47 unseen cards), the river/5th street (46 unseen cards), and the turn or river (after the flop; turn and river combined). 'Outs' are the number of cards that can 'make' your hand. For example, if you are looking for that flush on the river, there are 9 cards/outs that can help you at a probability of almost 1 in 5 (13 clubs in the deck minus 4 clubs in your hand or on the board equals 9 clubs remaining).

Probability of Catching an Out:
Outs - Turn(%) - River(%) - Turn or River(%)
-- 20 ---- 42.6 -------- 43.5 ------------- 67.5
-- 19 ---- 40.4 -------- 41.3 ------------- 65.0
-- 18 ---- 38.3 -------- 39.1 ------------- 62.4
-- 17 ---- 36.2 -------- 37.0 ------------- 59.8
-- 16 ---- 34.0 -------- 34.8 ------------- 57.0
-- 15 ---- 31.9 -------- 32.6 ------------- 54.1
-- 14 ---- 29.8 -------- 30.4 ------------- 51.2
-- 13 ---- 27.7 -------- 28.3 ------------- 48.1
-- 12 ---- 25.5 -------- 26.1 ------------- 45.0
-- 11 ---- 23.4 -------- 23.9 ------------- 41.7
-- 10 ---- 21.3 -------- 21.7 ------------- 38.4
--- 9 ---- 19.1 --------- 19.6 ------------- 35.0
--- 8 ---- 17.0 --------- 17.4 ------------- 31.5
--- 7 ---- 14.9 --------- 15.2 ------------- 27.8
--- 6 ---- 12.8 --------- 13.0 ------------- 24.1
--- 5 ---- 10.6 --------- 10.9 ------------- 20.4
--- 4 ----- 8.5 ----------- 8.7 -------------- 16.5
--- 3 ----- 6.4 ----------- 6.5 -------------- 12.5
--- 2 ----- 4.3 ----------- 4.3 ---------------- 8.4
--- 1 ----- 2.1 ----------- 2.2 ---------------- 4.3