7♣ 7♦ 7♥ 8♣ + A♥ cut = 18 points

What the ace of hearts contributes

Holding 7 of clubs, 7 of diamonds, 7 of hearts, 8 of clubs with the ace of hearts as the cut scores 18 points in the hand.

Scoring combinations involving the ace of hearts contribute 6 points. The remaining 12 points come from combinations entirely within the four held cards.

• fifteen: ace of hearts, 7 of clubs, 7 of diamonds — 2 points.
• fifteen: ace of hearts, 7 of clubs, 7 of hearts — 2 points.
• fifteen: ace of hearts, 7 of diamonds, 7 of hearts — 2 points.

Other available cuts of this rank: ace of clubs (18 points); ace of diamonds (18 points); ace of spades (18 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 18, 4 score the same (including the ace of hearts), and 12 score more.

Across all 48 possible cut cards, the score ranges from 12 to 21 points, averaging 14.67 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.