A♦ 7♣ 8♣ 8♠ + 6♦ cut = 16 points

What the 6 of diamonds contributes

Holding ace of diamonds, 7 of clubs, 8 of clubs, 8 of spades with the 6 of diamonds as the cut scores 16 points in the hand.

Scoring combinations involving the 6 of diamonds contribute 10 points. The remaining 6 points come from combinations entirely within the four held cards.

• fifteen: ace of diamonds, 6 of diamonds, 8 of clubs — 2 points.
• fifteen: ace of diamonds, 6 of diamonds, 8 of spades — 2 points.
• run of three: 6 of diamonds, 7 of clubs, 8 of clubs — 3 points.
• run of three: 6 of diamonds, 7 of clubs, 8 of spades — 3 points.

Other available cuts of this rank: 6 of clubs (16 points); 6 of hearts (16 points); 6 of spades (16 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 44 possible cuts score less than 16, 4 score the same (including the 6 of diamonds), and 0 score more.

Across all 48 possible cut cards, the score ranges from 6 to 16 points, averaging 8.21 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.