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High Flush Poker Odds

3/30/2022
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Probability and gambling have been an idea since long before the invention of poker. The development of probability theory in the late 1400s was attributed to gambling; when playing a game with high stakes, players wanted to know what the chance of winning would be. The best hand (because of the low probability that it will occur) is the royal flush, which consists of 10, J, Q, K, A of the same suit. There are only 4 ways of getting such a hand (because there are 4 suits), so the probability of being dealt a royal flush is `4/(2,598,960)=0.000 001 539` Straight Flush.

All the suits in poker are of equal value. It makes no difference whether someone has the ace of clubs or the ace of diamonds. If remaining players have exactly the same hand at showdown, only in different suits, the pot is split.

Hand Ranking

Poker

The value of poker hands is determined by how rare or common it is to be dealt them, with the most common hands valued lower than the rarer hands. The complete list of poker hands is as follows, in increasing order of scarcity:

  1. High card
  2. One pair
  3. Two pair
  4. Three of a kind (sometimes called “trips” or “a set”)
  5. Straight
  6. Flush
  7. Full house
  8. Four of a kind (sometimes called “quads”)
  9. Straight flush

High Card

High Flush Poker Odds Calculator

If you have no pair, three of a kind, straight, flush, full house, etc., then the highest card in your hand is considered to be decisive. The hand above, in which the best card is a king and there is no other combination of poker hand, is known as “king high”.

Ace high beats king high. King high beats queen high, and so on.

If the high cards in two players’ hands is the same, the second-highest card becomes decisive. If these cards are also the same, the third-highest card plays and so on. These cards are known as the kicker.

High card ace, king kicker:

Player 1 has A♠K♣
Player 2 has A♦Q♦
The board is 9♠6♥4♥3♠2♣

High Flush Poker Odds Meaning

Both players have an ace, but Player 1 wins, because he has a king as his second highest card (kicker). His opponent only has a queen.