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The Probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand (Frequency) by the total number of 5-card hands (the sample space; () =,,). For example, there are 4 different ways to draw a royal flush (one for each suit), so the probability is 4 / 2,598,960 , or one in 649,740.
is the current Hand Strength (i.e. not taking into account potential to improve or deteriorate, depending on upcoming table cards N P O T {\displaystyle NPOT} is the Negative POTential (i.e. the probability that our current hand, if the strongest, deteriorates and becomes a losing hand)
Poker calculators are algorithms which through probabilistic or statistical means derive a player's chance of winning, losing, or tying a poker hand. [1] [2]Given the complexities of poker and the constantly changing rules, most poker calculators are statistical machines, probabilities and card counting is rarely used.
PokerStove is a program that calculates hand equities (i.e., expected percentage of the time that each hand wins at showdown). [3] Since poker is a game of incomplete information, the calculator is designed to evaluate the equity of ranges of hands that players can hold, instead of individual hands. [4]
Suited hands, which contain two cards of the same suit (e.g. A ♣ 6 ♣). Probability of first card is 1.0 (any of the 52 cards) Probability of second hand suit matching the first: There are 13 cards per suit, and one is in your hand leaving 12 remaining of the 51 cards remaining in the deck. 12/51 ≈ 0.2353 or 23.53%
W E ♠ K 10 3 ♥ A Q ♥ K J 9 4 ♦ K Q 3 2 ♦ A J ♣ A 4 3 ♣ 8 7 6 5 ♠ A Q J W E ♠ K 10 3 ♥ A Q 3 2 ♥ K J 9 4 ♦ K Q ♦ A J ♣ A 4 3 2 ♣ 8 7 6 5 Both East hands are exactly the same, and both West hands have the same shape, the same HCP count, and the same high cards. The only difference between the West hands is that two low red cards and one low black card have been ...
The underlying premise of LTC is that if a suit is evenly distributed, i.e. three players hold three cards in the suit and one player holds four, a maximum of three losers can be assumed in any one suit held by the partnership and, in turn, the maximum number of losers held by the partnership in all four suits is 24 (three in each of the four suits in each of two hands, i.e. 3 x 4 x 2 = 24).
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