A♦ A♠ 5♦ 9♥ + A♥ cut = 12 points

What the ace of hearts contributes

Holding ace of diamonds, ace of spades, 5 of diamonds, 9 of hearts with the ace of hearts as the cut scores 12 points in the hand.

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

• fifteen: ace of hearts, 5 of diamonds, 9 of hearts — 2 points.
• Pair: ace of diamonds, ace of hearts — 2 points.
• Pair: ace of spades, ace of hearts — 2 points.

Other available cuts of this rank: ace of clubs (12 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 12, 8 score the same (including the ace of hearts), and 0 score more.

Across all 48 possible cut cards, the score ranges from 6 to 12 points, averaging 8.17 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.