4♠ 5♠ 9♠ 10♠ + A♥ cut = 10 points

What the ace of hearts contributes

Holding 4 of spades, 5 of spades, 9 of spades, ten of spades with the ace of hearts as the cut scores 10 points in the hand.

Scoring combinations involving the ace of hearts contribute 4 points. The remaining 6 points come from combinations entirely within the four held cards.

• fifteen: ace of hearts, 4 of spades, ten of spades — 2 points.
• fifteen: ace of hearts, 5 of spades, 9 of spades — 2 points.

Other available cuts of this rank: ace of clubs (10 points); ace of diamonds (10 points); ace of spades (11 points). The cut suit changes the score here because of a flush or nobs.

How this cut compares

For these four held cards, 28 possible cuts score less than 10, 11 score the same (including the ace of hearts), and 9 score more.

Across all 48 possible cut cards, the score ranges from 6 to 14 points, averaging 9.27 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.