Poker Odds and Outs

'Outs' are simply the number of cards that can 'make' your hand. If you are looking for that flush on the river, there are 9 cards that can help you. (13 clubs in the deck - 4 clubs in your hand or on the board = 9 clubs remaining).

The second thing to know is the number of unseen cards. Since two cards are in your hand, and four are on the board, there are 46 card remaining. (52-2=50 followed by 50-4=46).

Now computing the odds is a simple division problem. 9 cards that can help, divided by 46 cards out there, equals 19.6%. (9÷46=19.56%). That's how you do it. Ok, 9÷46 isn't so simple, but still, that's how it's done.

Flush

If you hold a four flush, the odds of catching it on the turn are 19.1%, on the river is 19.6%. Catching it on the turn or the river is 35.0%

Open-Ended Straight

Odds of catching your card on the turn, 17.0%. On the river, 17.4%. On the turn or the river, 31.5%

Gutshot Straight

Catching your card on the turn, 8.5%. Catching your cad on the river, 8.7%. Catching it on the turn or the river, 16.5%