The odds of flopping a High Hand with any starting hand is 63% or 2 in 3
Definition of a High Hand (High-Card) –
A High Hand occurs when we don’t even make a pair, so the strength of our hand is determined by the highest card.
Example – AK372
High Hands are the least-ranked hand in Hold’em where no pair, draw or any potential to make a hand exists.
Odds of Making a High Hand on the Flop
It should, hopefully, not come as a surprise that making a High Hand on the flop is actually the most likely thing that can happen (excluding Pocket Pairs).
Let’s review some of the odds -
Odds of flopping a high-card hand with any starting hand = 63%
Odds of flopping a high-card hand with any unpaired starting hand = 66.9%
Odds of flopping a high-card hand with a pocket pair = 0%
Unpaired hands tend to flop high-card hands with similar frequencies but not identical.
For example -
Odds of flopping a high-card hand with AKo = 67.2%
Odds of flopping a high-card hand with T9s = 65.4%
AKo is slightly more likely to flop a high-card hand since it makes straights and flushes less frequently than T9s.
Of course, high-card hands can vary in strength.
Odds of flopping overcards with any unpaired starting hand = 7.64%
Odds of flopping overcards with AKo = 67.2%
Odds of flopping overcards with T9s = 16.2%
Odds of flopping a gutshot with any unpaired starting hand = 10.3%
Odds of flopping a gutshot with AKo = 11.3%
Odds of flopping a gutshot with T9s = 16.6%
Odds of flopping an OESD with any unpaired starting hand = 3.47%
Odds of flopping an OESD with AKo = 0%
Odds of flopping an OESD with T9s = 9.6%
A flush draw is technically a type of high-card hand, although it clearly is a much stronger holding relative to flopping naked overcards.