Poker Odds
For those unfamiliar with outs, an "out" is the term used in the after-flop betting rounds to describe any card among the unseen cards in the deck, that can substantially improve the value of your hand on the next card turned up. For example, if after the flop you happen to have a total of four hearts, then you hand has nine "outs" because there are nine of the original thirteen hearts still left in the unseen remaining deck. A much weaker draw hand would be for example, an inside straight. This hand only has four outs because the only cards left in the deck that can complete the straight would be the four cards of the missing denomination. Of course, the more outs you have the better chance you have of making a strong hand. All Texas Holdem hands have 47 unseen cards after the flop and 46 after the turn. diferent ways.
It might be interesting for you to note that when you double the number of outs, you get a number that is approximately the expected hit percentage of a single draw to your hand. For example, 8 outs equals about 16% (actually 17.02%) and 12 outs equals about 24% (actually 25.53%). You might find similar references or comparisons that you can use.
Odds and Probabilities
Preflop - Probability of Being Dealt
Pocket Pair 5.9%
Poker Aces .45%
Suited Cards 23.5%
Connected Cards 15.7%
Flop Odds - Probability of Flopping
A Flush When Holding 2 Suited Cards .84%
A Flush Draw When Holding 2 Suited Cards 11%
Trips or Quads When Holding a Pair 11.8%
A Pair, 2 Pair, Trips, or Quads When Holding Two Unpaired Cards 32.4%
Turn and River Odds - Probability of Hitting
An Inside Straight Draw on the Turn or River 16.5%
An Open-Ended Straight Draw on the Turn or River 31.5%
A Flush Draw on the Turn or River 35%
A Flush Draw or Open-Ended Straight Draw on the Turn or River 54.1%
Hand Match up Odds - Hand vs Hand
Higher Pocket Pair 81.5% vs Lower Pocket Pair 18.5%
Over-Cards 46% vs Lower Pocket Pair 54%
Two Unsuited Overcards 63% vs Two Unsuited Undercards 37%
One Overcard 57% vs Two Middle Cards 43%
Pair 69% vs one Overcard 31%
Pair 89% vs one lower live card 11%
two cards 71% vs one lower live card 29%