The good hands: there are four 4-card hands. There is a combinatorics' formula for calculating the number of the all possible combinations of r elements selected from the set of k total elements: So that our goal is to determine the probability that the initial six card hand contains three fives and a jack, all of different suits, but not the remaining five (which needs to be the starter card). Also we know, that there are only 4 hands that give 29 points: How did we calculate it.įirst of all we should remember, what upon dealing a player receives 6 cards, 2 of them will be discarded to the crib later. In our Cribbage Statistics page we stated, that the getting of the best cribbage hand - a 29 hand - odds is 1 to 216580.
