6♠ 7♥ J♣ J♠ + A♥ cut = 2 points

What the ace of hearts contributes

Holding 6 of spades, 7 of hearts, jack of clubs, jack of spades 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 (3 points); ace of diamonds (2 points); ace of spades (3 points). The cut suit changes the score here because of a flush or nobs.

How this cut compares

For these four held cards, 0 possible cuts score less than 2, 12 score the same (including the ace of hearts), and 36 score more.

Across all 48 possible cut cards, the score ranges from 2 to 10 points, averaging 4.23 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.