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There are 1287 possible 5 card poker hands that contain only diamonds, i.e. a diamond flush.This is 13! / (13-5)! / 5!Since there are 2598960 possible 5 card poker hands, 52! / (52-5)! / 5!, the probability of drawing a diamond flush is 1287 in 2598960, or about 0.0004952.
There are 2597673 such hands.There are 2597673 such hands.
If the hand must contain three 8's and to cards that are not 8's - the total number of possibilities is 2801.
In a normal poker deck, a total of 26 cards are red. This is half of the cards (two out of the four suits).
There are 12 face cards in a standard 52-card deck, a jack, a queen and a king of each of the four suits.