To be successful at poker you should be able to calculate correct poker odds based on your pocket cards at any time during the play of a hand.
Knowlng the poker odds of catching any hand combined with the odds the pot is giving you are one of several advantages winning poker players have over losing players.
Knowlng the probability of making a specific hand in poker can be done by calculating hand odds. Knowing how many outs you have will give you the possibility of calculating the number of times you will hit your hand by the turn and/or the river. More about hand odds here.
Pot odds is the a ratio between the size of the pot compared to how much it will cost you to call a bet from another player. More info. on pot odds here.
The odds of being dealt pocket aces in Texas Hold'em are 220 to 1 or 0.45%. So how do we figure this out?
There are 1326 two card combinations in a deck of 52 cards and there are six two card combinations that will give you a pair of aces, so you will get a pair of pocket aces six times out of the possible 1326 two card combinations or once every 221 hands dealt.
The poker odds of being dealt:
Any pocket pair is 16/1 or 5.9%.
AK suited is 331/1 or 0.3%.
AK offsuit is 110/1 or 0.9%.
Any two suited cards is 3.3/1 or 24%.
The poker odds when holding a pocket pair and flopping:
A set by the river (three of a kind) is 8.3 to 1 or 10.8%.
Quads (four of a kind) is 407 to 1 or 0.25%.
A full house by the river is 136 to 1 or 0.74%.
Flopping a flush on the flop holding two suited pocket cards are 118 to 1 or 0.84%.
If you hold four cards to a flush on the flop, than the odds of catching it on the turn are 19.1% and on the river it is 19.6%. Catching it on the turn or the river is 36.0%
The poker odds of catching an open-ended- straight on the turn is 17.0%. On the river, 17.4%. On the turn or the river, 31.5%.
Catching an inside straight: on the turn is 8.5%. Catching your card on the river is 8.7%. Catching it on the turn or the river, 16.5%
GOOD LUCK, PLAY WELL AND DON'T GAMBLE WITH YOUR POKER MONEY!