A♣ 2♣ 6♣ 7♣ + 3♣ cut = 10 points

What the 3 of clubs contributes

Holding ace of clubs, 2 of clubs, 6 of clubs, 7 of clubs with the 3 of clubs as the cut scores 10 points in the hand.

Scoring combinations involving the 3 of clubs contribute 8 points. The remaining 2 points come from combinations entirely within the four held cards.

• run of three: ace of clubs, 2 of clubs, 3 of clubs — 3 points.
• Flush 5-card: ace of clubs, 2 of clubs, 6 of clubs, 7 of clubs, 3 of clubs — 5 points.

Other available cuts of this rank: 3 of diamonds (9 points); 3 of hearts (9 points); 3 of spades (9 points). The cut suit changes the score here because of a flush or nobs.

How this cut compares

For these four held cards, 27 possible cuts score less than 10, 7 score the same (including the 3 of clubs), and 14 score more.

Across all 48 possible cut cards, the score ranges from 6 to 14 points, averaging 8.85 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.