4♠ 9♠ 10♦ K♥ + A♥ cut = 4 points

What the ace of hearts contributes

Holding 4 of spades, 9 of spades, ten of diamonds, king of hearts with the ace of hearts as the cut scores 4 points in the hand.

Scoring combinations involving the ace of hearts contribute 4 points. The remaining 0 points come from combinations entirely within the four held cards.

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

Other available cuts of this rank: ace of clubs (4 points); ace of diamonds (4 points); ace of spades (4 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 40 possible cuts score less than 4, 8 score the same (including the ace of hearts), and 0 score more.

Across all 48 possible cut cards, the score ranges from 0 to 4 points, averaging 2.00 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.