3♦ 4♥ 8♠ J♥ + A♥ cut = 5 points

What the ace of hearts contributes

Holding 3 of diamonds, 4 of hearts, 8 of spades, jack of hearts with the ace of hearts as the cut scores 5 points in the hand.

Scoring combinations involving the ace of hearts contribute 3 points. The remaining 2 points come from combinations entirely within the four held cards.

• fifteen: ace of hearts, 4 of hearts, jack of hearts — 2 points.
• his nob: jack of hearts, ace of hearts — 1 point.

Other available cuts of this rank: ace of clubs (4 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, 29 possible cuts score less than 5, 2 score the same (including the ace of hearts), and 17 score more.

Across all 48 possible cut cards, the score ranges from 2 to 8 points, averaging 4.27 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.