How four fives and a jack add up to 29

Cribbage scores a hand by counting combinations, not just individual cards. In this case, the player holds three fives and a jack, and the turned-up starter card is the fourth five. The starter joins the player’s cards for scoring, making four fives available alongside the jack.

The points come from overlapping combinations

Any group of cards totaling 15 earns two points. Three fives total 15, and there are four different ways to choose three from the four fives: 8 points. The jack paired with any one of the four fives also totals 15, adding another 8 points.

Pairs score two points each. Four fives make six distinct pairs, worth 12 points. Finally, the jack matches the starter five’s suit, earning one point for “nobs,” cribbage’s name for that suit match.

Add the scores—16 for fifteens, 12 for pairs, and one for nobs—and the hand reaches 29 points.

Why the exact deal is so rare

Every card has to cooperate: the player needs three fives and a jack, while the starter must be the last five and share the jack’s suit. Change the starter’s suit and the nobs point disappears; change its rank and the combinations that make the hand extraordinary vanish. The result is a score built from the same cards being counted in several overlapping ways—a cribbage feature that makes a handful of cards capable of producing a remarkable total.