4♥ 6♦ J♣ Q♣ + A♥ cut = 4 points

What the ace of hearts contributes

Holding 4 of hearts, 6 of diamonds, jack of clubs, queen of clubs 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 hearts, 4 of hearts, jack of clubs — 2 points.
• fifteen: ace of hearts, 4 of hearts, queen of clubs — 2 points.

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

How this cut compares

For these four held cards, 38 possible cuts score less than 4, 5 score the same (including the ace of hearts), and 5 score more.

Across all 48 possible cut cards, the score ranges from 0 to 10 points, averaging 2.48 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.