Sample Puzzles from Fun with Cribbage

1. I dealt two cribbage hands. My opponent and I tossed to the crib. The cut did not improve either of our hands, nor did it improve the crib. Closer analysis revealed that NO CUT IN THE ENTIRE DECK would have improved either hand or the crib. How is this possible?

2. The hand 4-4-5-5-6 is worth 24 points. Interestingly, the sum of the numbers 4,4,5,5 and 6 is also 24. Can you think of other hands in which the sum of the cards is equal to the value of the hand (there are five more)?

3. How many ways can you get a 24 hand if you have neither a 6 nor a 7?

4. It's impossible to score 19, 25, 26, or 27. But if you combine two decks of cards, how many of these totals are possible?

5. If a deck contained five suits, and you got to save five cards instead of four, you'd have to count hands like the ones below. What is each worth?

a. A-7-7-7-7-7;  b. 3-4-4-4-4-4;  c. 3-3-3-3-3-6;  d. 5-5-5-5-5-Q


1. Two ways. Either the twelve cards that were dealt were the four 6's, the four 9's, and the four 3's. Or, the three hands in question were A-A-A-A, 7-7-7-7, and 8-8-8-8.

2. 2-3-4-4-4, 2-3-3-4-4, A-A-A-A-8, 2-2-2-2-4, and 3-3-4-5-5

3. Only one: 3-3-3-3-9

4. All are possible. There are many possible ways; the following are all 4-flushes:
19: A-2-2-2-3; 25: 4-4-4-5-6; 26: 5-5-5-K-K; 27: 4-5-5-5-6

5. a: 40 b: 40 c: 42 d: 50