A♣ 3♥ 10♦ J♥ + 4♥ cut = 5 points

What the 4 of hearts contributes

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

Scoring combinations involving the 4 of hearts contribute 5 points. The remaining 0 points come from combinations entirely within the four held cards.

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

Other available cuts of this rank: 4 of clubs (4 points); 4 of diamonds (4 points); 4 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, 39 possible cuts score less than 5, 2 score the same (including the 4 of hearts), and 7 score more.

Across all 48 possible cut cards, the score ranges from 0 to 8 points, averaging 2.73 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.