4♥ 5♠ J♠ K♦ + A♥ cut = 8 points

What the ace of hearts contributes

Holding 4 of hearts, 5 of spades, jack of spades, king of diamonds with the ace of hearts as the cut scores 8 points in the hand.

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

• fifteen: ace of hearts, 4 of hearts, jack of spades — 2 points.
• fifteen: ace of hearts, 4 of hearts, king of diamonds — 2 points.

Other available cuts of this rank: ace of clubs (8 points); ace of diamonds (8 points); ace of spades (9 points). The cut suit changes the score here because of a flush or nobs.

How this cut compares

For these four held cards, 26 possible cuts score less than 8, 9 score the same (including the ace of hearts), and 13 score more.

Across all 48 possible cut cards, the score ranges from 4 to 10 points, averaging 6.81 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.