6♥ 8♣ J♥ K♠ + A♥ cut = 3 points

What the ace of hearts contributes

Holding 6 of hearts, 8 of clubs, jack of hearts, king of spades with the ace of hearts as the cut scores 3 points in the hand.

Scoring combinations involving the ace of hearts contribute 3 points. The remaining 0 points come from combinations entirely within the four held cards.

• fifteen: ace of hearts, 6 of hearts, 8 of clubs — 2 points.
• his nob: jack of hearts, ace of hearts — 1 point.

Other available cuts of this rank: ace of clubs (2 points); ace of diamonds (2 points); ace of spades (2 points). The cut suit changes the score here because of a flush or nobs.

How this cut compares

For these four held cards, 32 possible cuts score less than 3, 7 score the same (including the ace of hearts), and 9 score more.

Across all 48 possible cut cards, the score ranges from 0 to 6 points, averaging 2.06 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.