Odds of Getting Each Starting Hand
Before you even think of raising, you should know the probability of each 5-card hand you might be dealt:
- Royal Flush: 0.00001539
- Straight Flush: 0.00027851
- Four of a Kind: 0.00168067
- Full House: 0.02648571
- Flush: 0.03025492
- Straight: 0.00392563
- Three of a Kind: 0.02112845
- Two Pair: 0.04753902
- Pair: 0.42256903
- Ace–King or Less: 0.50117128
The chance of a top hand like a royal flush is tiny, so most of the time you’ll see Ace–King or worse. Having these base odds in mind helps you play smart when the ante is down.
Chances of Improving Your Hand After Raising
If you do decide to press on and double your bet, these are roughly your odds of ending up with a stronger final hand:
- Royal Flush: 0.00007708
- Straight Flush: 0.00138504
- Four of a Kind: 0.02405110
- Full House: 0.14330682
- Flush: 0.10941454
- Straight: 0.09000740
- Three of a Kind: 0.22183547
- Two Pair: 0.47160319
- Pair or Less: 0.54296723
See that even if you start with a lowly pair or worse, you still have a fair shot at improving. Sasa, that’s where probability theory gives you the edge in deciding whether to fold or push forward.
Dealer’s Odds of Qualifying by Up-Card
One more stat to tuck away: the likelihood the dealer will qualify based on their visible up-card:
- Ace: 0.44444444
- King: 0.44285714
- Queen: 0.44117647
- Jack: 0.43846154
- Ten: 0.43636364
- Nine: 0.43333333
- Eight: 0.43023256
- Seven: 0.42696629
- Six: 0.42352941
- Five: 0.41991342
- Four or Lower: 0.41758242
If the dealer shows an Ace or King, their chance to qualify is nearly 44.5%. When you see those up-cards, think twice before raising with a so-so hand.