5♦ 5♥ 6♦ 6♠ + A♥ cut = 4 points

What the ace of hearts contributes

Holding 5 of diamonds, 5 of hearts, 6 of diamonds, 6 of spades with the ace of hearts as the cut scores 4 points in the hand.

The ace of hearts contributes no scoring combinations. The remaining 4 points come from combinations entirely within the four held cards.

Other available cuts of this rank: ace of clubs (4 points); ace of diamonds (4 points); ace of spades (4 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 0 possible cuts score less than 4, 12 score the same (including the ace of hearts), and 36 score more.

Across all 48 possible cut cards, the score ranges from 4 to 24 points, averaging 8.92 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.