2♥ 3♦ 3♥ 9♠ + A♥ cut = 14 points

What the ace of hearts contributes

Holding 2 of hearts, 3 of diamonds, 3 of hearts, 9 of spades with the ace of hearts as the cut scores 14 points in the hand.

Scoring combinations involving the ace of hearts contribute 10 points. The remaining 4 points come from combinations entirely within the four held cards.

• fifteen: ace of hearts, 2 of hearts, 3 of diamonds, 9 of spades — 2 points.
• fifteen: ace of hearts, 2 of hearts, 3 of hearts, 9 of spades — 2 points.
• run of three: ace of hearts, 2 of hearts, 3 of diamonds — 3 points.
• run of three: ace of hearts, 2 of hearts, 3 of hearts — 3 points.

Other available cuts of this rank: ace of clubs (14 points); ace of diamonds (14 points); ace of spades (14 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 14, 4 score the same (including the ace of hearts), and 0 score more.

Across all 48 possible cut cards, the score ranges from 4 to 14 points, averaging 7.88 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.