Thus, there are 4possible royal flushes:ĭividing by the number of possible hands gives theprobability:ī) Astraight-flush (excluding royal flush) is all cards the same suit and showingconsecutive numbers (but not the highest 5 consecutive numbers). After that, the other four cards are completely determined. There are four possible suits for the ace.
If we order the 5-card hand from highest card to lowest,the first card will be an ace. Sol'n: a) Aroyal flush is ace, king, queen, jack, and ten of the same suit.
(The number of possible 5-card hands is 52C 5 = 2,598,960.) Ex : Calculatethe odds (or probabilities) of the following 5-card poker hands:Īlso, verify that the probabilities sum to unity.
