2♣ 7♦ 8♦ 9♦ + 6♥ cut = 10 points

What the 6 of hearts contributes

Holding 2 of clubs, 7 of diamonds, 8 of diamonds, 9 of diamonds with the 6 of hearts as the cut scores 10 points in the hand.

Scoring combinations involving the 6 of hearts contribute 8 points. The remaining 2 points come from combinations entirely within the four held cards.

• fifteen: 6 of hearts, 9 of diamonds — 2 points.
• fifteen: 2 of clubs, 6 of hearts, 7 of diamonds — 2 points.
• run of four: 6 of hearts, 7 of diamonds, 8 of diamonds, 9 of diamonds — 4 points.

Other available cuts of this rank: 6 of clubs (10 points); 6 of diamonds (10 points); 6 of spades (10 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 35 possible cuts score less than 10, 7 score the same (including the 6 of hearts), and 6 score more.

Across all 48 possible cut cards, the score ranges from 5 to 12 points, averaging 7.15 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.