CribbageOnline

Cribbage strategy, by the numbers

Most of cribbage is decided before the first card is played: which four cards you keep and which two you throw to the crib. We had our game engine work out what those choices are actually worth.

The throw is worth more than anything else

We dealt 600 random six-card hands and compared the best possible throw with a random one. Keeping the best four cards gives a hand that averages 8.0 points with the starter. Throwing two cards at random leaves one that averages 4.8. That's more than three points a deal from one decision, before the crib, the play or anything else.

The best throw depends on whose crib it is. When it's yours, every point you put in the crib is yours too, so you can afford to split a strong pair or give it a five. When it's your opponent's, a good-looking pair of cards in the crib is a gift to them.

Two hands, two answers

5♥ 5♦ J♣ 4♠ 9♥ K♠

Throw the 4♠ 9♥ either way. Keeping 5-5-J-K averages 12.4 points, because each five makes fifteen with the jack and with the king, and the pair adds two more. Nothing else comes close, and the 4 and 9 are a fairly harmless gift (about 4.2 points in the crib).

2♠ 3♥ 7♦ 8♣ Q♥ K♦

Here the answer flips. In your own crib, throw the 7♦ 8♣: they're already a fifteen, so your crib averages about 7.2, and the 2-3-Q-K you keep is worth 6.8 (2+3+10 makes fifteen twice). In your opponent's crib, throw the Q♥ K♦ instead: a king and queen give them little to work with (about 4.2 points on average).

The game's Suggest button does this calculation for any hand you're dealt.

What every throw is worth in the crib

This table shows the average crib score for every pair of ranks you could throw, with the other two crib cards and the starter random. Read your two cards across and down. The darker the square, the bigger the gift; gold marks the best throw of all.

A2345678910JQK
A5.64.54.65.55.74.34.14.14.04.04.23.93.7
24.55.86.84.95.84.34.34.24.14.14.34.03.9
34.66.86.25.56.44.24.44.34.14.24.44.03.9
45.54.95.56.17.05.04.24.34.24.14.44.13.9
55.75.86.47.09.07.16.45.85.77.07.26.96.8
64.34.34.25.07.16.35.54.95.63.84.13.73.6
74.14.34.44.26.45.56.16.84.43.74.03.73.6
84.14.24.34.35.84.96.85.64.94.33.93.73.6
94.04.14.14.25.75.64.44.95.54.94.53.63.5
104.04.14.24.17.03.83.74.34.95.45.14.13.4
J4.24.34.44.47.24.14.03.94.55.16.05.04.3
Q3.94.04.04.16.93.73.73.73.64.15.05.24.0
K3.73.93.93.96.83.63.63.63.53.44.34.05.0

Computed by sampling 40,000 cribs for each of the 91 rank pairs. Real opponents don't throw at random (they keep their own good cards), so treat these as a guide to which cards help a crib rather than exact predictions.

Best for your own crib

5-58.96
5-J7.25
5-67.09
5-107.01
4-57.00
5-Q6.90
2-36.85
5-K6.82

Safest in theirs

10-K3.43
9-K3.52
8-K3.57
7-K3.58
9-Q3.58
6-K3.65
7-Q3.67
8-Q3.68

A few things stand out:

Pegging habits that save points

The computer's Sharp setting follows these habits. If you'd like to see them in action, play a few deals and use Suggest a card.

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