4♣ 4♦ 10♦ K♥ + A♥ cut = 10 points

What the ace of hearts contributes

Holding 4 of clubs, 4 of diamonds, ten of diamonds, king of hearts with the ace of hearts as the cut scores 10 points in the hand.

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

• fifteen: ace of hearts, 4 of clubs, ten of diamonds — 2 points.
• fifteen: ace of hearts, 4 of clubs, king of hearts — 2 points.
• fifteen: ace of hearts, 4 of diamonds, ten of diamonds — 2 points.
• fifteen: ace of hearts, 4 of diamonds, king of hearts — 2 points.

Other available cuts of this rank: ace of clubs (10 points); ace of diamonds (10 points); ace of spades (10 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 10, 4 score the same (including the ace of hearts), and 0 score more.

Across all 48 possible cut cards, the score ranges from 2 to 10 points, averaging 3.58 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.