6♠ 7♣ 8♦ K♠ + 9♥ cut = 8 points

What the 9 of hearts contributes

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

Scoring combinations involving the 9 of hearts contribute 6 points. The remaining 2 points come from combinations entirely within the four held cards.

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

Other available cuts of this rank: 9 of clubs (8 points); 9 of diamonds (8 points); 9 of spades (8 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 31 possible cuts score less than 8, 8 score the same (including the 9 of hearts), and 9 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.