Probability of a High Card Hand with 5-card,.Now, to find the probability of a high card hand, subtract the number of other possible Poker hands from the total number of 5-card combinations and divide by the total number of combinations:

I n the 52-card standard deck, there are C(52, 5) = 2,598,960 possible ways to select five cards, where C means “Combinations.”.

Total 5-card combinations (with 52 sample spaces):.

To calculate the probability of getting a high card hand, consider the total number of possible 5-card combinations from a standard deck of 52 cards, known as the “sample space.” Instead, the hand’s ranking is determined solely by the highest card in it.Ĭalculating the Probability of a High Card: It occurs when a player’s five cards do not form unique combinations like pairs, straights, or flushes. The “High Card” hand is the simplest and weakest hand possible. This section explores the probabilities of various Poker hands and delves into pre-flop and post-flop scenarios. POKER HANDĪlthough getting these strong hands is difficult, skilled Poker players can enhance their winning chances by understanding the odds and making wise decisions. Of all the poker hands, getting a royal flush is the most difficult hand to obtain (with odds of 1 in 649,739), while drawing a high card is the easiest hand to get (with odds of 1 in 2). In a standard 52-card deck, there are as many as 2,598,960 possible ways to select five cards.

Poker hand probabilities calculator