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The worst I could come up with is Ks8d3c. What is the worst possible flop for Joker-2h? So there are 3*4 + 4*1 = 16 ways to make a straight ignoring suit, and 4*4*4-1 ways to choose the suits of the 3 flop cards without making a straight flush. So the joker can replace any of 3 cards in 4 of the straights, and any of 4 cards in the K-high straight since 9 and the lowest card are the same. The joker cannot be a 9, and it cannot be the lowest card of the straight or else we would have the next highest straight. There are 5 different straights that contain a 9 (9-high to K-high). I would guess that about half the flops are trips or better for the player holding a joker. So if we just figure the percent our wild card hand improves to better than AA then we will have a good idea.įor the tip of the iceberg, when holding Joker+any, the probability of a paired flop is (48*44*6/2 + 3*2*48/2)/53c3 = 31.1%. The advantage is huge.ĪA only improves to a better hand by showdown about 20% of the time (disregarding paired boards that don't help him). But we know the wild card completes all 4-straights, completes all 4-flushes, has trips on all paired boards, turns all 2-pair hands into full houses, turns all flush draws (with our other card) into flushes and all straight draws into straights, turns all 1-pair hands into trips or better, etc.

Short of that, we could do some manual counts of basic board types and get a good idea. Somebody would have to modify a hand enumerator to count all C(49,5)=1,906,884 possible boards in such a game and evaluate all 49 wild card values against each board.

Are jokers in poker