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The values given for Probability, Cumulative probability, and Odds are rounded off for simplicity; the Distinct hands and Frequency values are exact. The nCr function on most scientific calculators can be used to calculate hand frequencies; entering nCr with 52 and 5 , for example, yields ( 52 5 ) = 2 , 598 , 960 {\textstyle {52 \choose 5 ...
Excluding her two hole cards and the four community cards, there are 46 remaining cards to draw from. This gives a probability of 9/46 (19.6%). The rule of 2 and 4 estimates Alice's equity at 18%. The approximate equivalent odds of hitting her flush are 4:1. Her opponent bets $10, so that the total pot now becomes, say, $50.
An outside straight draw, also called up and down, double-ended straight draw or open-ended straight draw, is a hand with four of the five needed cards in sequence (and could be completed on either end) that may improve to a straight. For example, x-9-8-7-6-x. An outside straight draw has eight outs (four cards to complete the top of the ...
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This table [1] represents the different ways that two to eight particular cards may be distributed, or may lie or split, between two unknown 13-card hands (before the bidding and play, or a priori). The table also shows the number of combinations of particular cards that match any numerical split and the probabilities for each combination.
Hand Ranks of Three Card Poker [7] Rank Description Frequency Probability Straight flush Three suited cards in sequence 48 0.22% Three of a kind Three cards of same rank 52 0.24% Straight Three cards in sequence 720 3.26% Flush Three suited cards 1,096 4.96% Pair Two cards of same rank 3,744 16.94% High card None of the above 16,440 74.39%
If a player has a three-card badugi such as A ♣ 2 ♠ 3 ♦ 3 ♥ in the first round, the probability of making a four-card badugi by the final draw is 51%. With a one-card draw, the chance of making a badugi is approximately 21% per draw. [8] In badugi, the pot odds often justify or contradict making a call or folding a hand. [9]
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