1

This evening, after contributing to the crib, I held three 5s and the Jack of the 5 that was turned by my opponent.

So, what did my hand score, with the four fives and the Jack of the knobs, after the pegging?

3

This particular hand is the famous "29 hand" which is the highest scoring cribbage hand. In fact, you can even get cribbage scoring boards with this design.

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The scoring breakdown for this hand is as follows:

  • 8 fifteens for 16
    • 4 fifteens made of a 5 and the J
    • 4 fifteens made of 3 fives (omit each of the 5's once)
  • 6 pairs for 28 (4 choose 2 ways to pair the 5's)
  • Knobs

The hand scores 8*2 + 6*2 + 1 = 29

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