cunax.blogg.se

I should only space out the odds of the other hands, not prompt any reorganisation.Īpart from "five-of-a-kind", hand should not reorganise their rankings, either through rules of oddĪ paradox arises with the probability of pairs and high card hands, if you're playing a game like hold'em, where you use seven cards to make your best five card hand. The card is "fully wild", and is defined as "a card that is fully wild can be designated by its holder as any card they choose with no restrictions."Īgain, this adds an extra, highest hand, five-of-a-kind. This would increase the chances of having an ace (obviously), and completely any five-card hand. (with an ace kicker), but any four same-suit cards with a bug make aįlush, and a hand such as 7-Joker-5-4-3 makes a straight. Under this rule, a hand such as K-K-Joker-5-2 is just a pair of kings

The wild card is played as a " bug", where the card is (usually a joker) treated as an ace, unless it completes a five-card set. If you know what the wild card is then you can figure it out, if not then in this case it is more likely lower, and i doubt it would effect hand rankings very much, except highest hand becomes five of a kind. If it is lower than a K then you are left with 45, 3, 4 /52. If it is a K then the odds are odds of 44, 4, and 4 /52. If the wild card is higher than a K, then you are left with odds of 44, 3, and 5 /52 respectively. Your "natural" chances are 44/51 for a win, 3/51 for a draw, and 4/51 for a lose. If the wild card is played as itself (eg 9 of Diamonds, etc), it would effect the probabilities very little. Normal deck 5 to a flush, c(13,5)*4, plus four to a flush c(13,4)*4, minus all straight flushes. One card is the joker then three of a kind, 13 * c(4,3), then the 5th card can't match the three of a kind so there are 53 - 5 = 48 cards left. 240/2,869,685 = % 0.000923įor this one you use all the regular deck four of a kinds, 624, plus all the joker four of a kinds. You would have all of the normal sized deck straight flushes, 40, plus all of those with one card replaced by the joker, 40 * c(5,1) = 200. So that means there are exactly 13 five of a kind hands. This has to be exactly 4 cards of the same rank plus the joker.

I'm using this site as a reference for normal deck hand numbers. With 53 cards, you have c(53,5) or 2,869,685 possible poker hands. I'm no mathematician, but I think the joker switches the rankings of full houses and flushes.