![]() I would like to thank Miplet for confirming the table above. The next table is for four-card stud with no jokers. The second table is for a fully wild card. The first table is for a partially wild card that can only be used to complete a straight, flush, straight flush, or royal flush, otherwise it must be used as an ace (same usage as in pai gow poker). If you have a standard deck of 52 cards, what is the probability that out of a hand of 5 cards you get 4 aces First I found the total of ways for choosing 5 cards from 52 (52 C 5) 2,598,960 Then the of hands which has 4 aces is 48 (because the 5th card can be any of 48 other cards). The order in which those three single cards are drawn does not matter, so we have to divide by 3. ![]() Since no second pair is allowed, for the fourth card there are 44 possibilities, and for the fifth card 40. Here are the number of ways to draw each hand and the probability of drawing for each hand in five card and seven card stud. The next two tables show the probabilities in 5-card stud with one wild card. The third card must be of a different type, so 52-4 48 possibilities. The following table shows the number of combinations if each card was dealt from a separate deck, which would be mathematically equivalent to an infinite number of decks. ![]()
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