A♥ 3♣ J♥ J♠ + 2♥ cut = 10 points

What the 2 of hearts contributes

Holding ace of hearts, 3 of clubs, jack of hearts, jack of spades with the 2 of hearts as the cut scores 10 points in the hand.

Scoring combinations involving the 2 of hearts contribute 8 points. The remaining 2 points come from combinations entirely within the four held cards.

• fifteen: 2 of hearts, 3 of clubs, jack of hearts — 2 points.
• fifteen: 2 of hearts, 3 of clubs, jack of spades — 2 points.
• run of three: ace of hearts, 2 of hearts, 3 of clubs — 3 points.
• his nob: jack of hearts, 2 of hearts — 1 point.

Other available cuts of this rank: 2 of clubs (9 points); 2 of diamonds (9 points); 2 of spades (10 points). The cut suit changes the score here because of a flush or nobs.

How this cut compares

For these four held cards, 46 possible cuts score less than 10, 2 score the same (including the 2 of hearts), and 0 score more.

Across all 48 possible cut cards, the score ranges from 2 to 10 points, averaging 4.40 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.