A♠ 3♣ 7♥ J♦ + A♥ cut = 4 points

What the ace of hearts contributes

Holding ace of spades, 3 of clubs, 7 of hearts, jack of diamonds with the ace of hearts as the cut scores 4 points in the hand.

Scoring combinations involving the ace of hearts contribute 4 points. The remaining 0 points come from combinations entirely within the four held cards.

• fifteen: ace of spades, ace of hearts, 3 of clubs, jack of diamonds — 2 points.
• Pair: ace of spades, ace of hearts — 2 points.

Other available cuts of this rank: ace of clubs (4 points); ace of diamonds (5 points). The cut suit changes the score here because of a flush or nobs.

How this cut compares

For these four held cards, 30 possible cuts score less than 4, 10 score the same (including the ace of hearts), and 8 score more.

Across all 48 possible cut cards, the score ranges from 0 to 6 points, averaging 2.25 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.