6♦ 7♦ 8♣ 8♠ + A♥ cut = 16 points

What the ace of hearts contributes

Holding 6 of diamonds, 7 of diamonds, 8 of clubs, 8 of spades with the ace of hearts as the cut scores 16 points in the hand.

Scoring combinations involving the ace of hearts contribute 4 points. The remaining 12 points come from combinations entirely within the four held cards.

• fifteen: ace of hearts, 6 of diamonds, 8 of clubs — 2 points.
• fifteen: ace of hearts, 6 of diamonds, 8 of spades — 2 points.

Other available cuts of this rank: ace of clubs (16 points); ace of diamonds (16 points); ace of spades (16 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 32 possible cuts score less than 16, 8 score the same (including the ace of hearts), and 8 score more.

Across all 48 possible cut cards, the score ranges from 12 to 24 points, averaging 14.63 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.