6♦ 6♥ 7♠ Q♦ + A♥ cut = 2 points

What the ace of hearts contributes

Holding 6 of diamonds, 6 of hearts, 7 of spades, queen of diamonds with the ace of hearts as the cut scores 2 points in the hand.

The ace of hearts contributes no scoring combinations. The remaining 2 points come from combinations entirely within the four held cards.

Other available cuts of this rank: ace of clubs (2 points); ace of diamonds (2 points); ace of spades (2 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 2, 20 score the same (including the ace of hearts), and 28 score more.

Across all 48 possible cut cards, the score ranges from 2 to 10 points, averaging 4.58 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.