Dragon Poker Hands (4-Jokers Deck)
Here "N" means "natural" (that is, without any wild cards), and "W" means "using at least one wild card".
Hand Combinations Odds (6 of 6) All 32468436 1.0000000 High/Pair (W) 4817536 0.1483759 One Pair (N) 9884160 0.3044236 Two Pair (N Only) 4942080 0.1522118 Three of a Kind 5125120 0.1578493 Three Pair(N Only) 370656 0.0114130 Full house 1153152 0.0355160 Straight (6) 4231116 0.1303147 Four of a Kind 947232 0.0291739 Flush (6) 902196 0.0277868 Full Belly (N Only) 2496 0.0000768 Full Dragon (4+2) 49608 0.0015278 Five of a Kind 34944 0.0010762 Straight Flush (N/W) 7560 0.0002328 Six of a Kind 364 0.0000112 Straight Flush (N) 36 0.0000011Notes: --At least 1 Wild ==> 13,915,044 (43%) --exactly 1 Wild ==> 10,395,840 (32%)
Notice that certain hands (2 pair, 3 pair, full belly) will be natural-only hands, because wild cards can make better hands. (For example, two pair using a wild card is no longer two pair, but three of a kind.) This effect boosts the probabilities of some high-scoring hands, such as straights, at the expense of lower-scoring hands.
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