3♥ 3♠ 5♦ J♦ + 4♥ cut = 12 points

What the 4 of hearts contributes

Holding 3 of hearts, 3 of spades, 5 of diamonds, jack of diamonds with the 4 of hearts as the cut scores 12 points in the hand.

Scoring combinations involving the 4 of hearts contribute 8 points. The remaining 4 points come from combinations entirely within the four held cards.

• fifteen: 3 of hearts, 3 of spades, 4 of hearts, 5 of diamonds — 2 points.
• run of three: 3 of hearts, 4 of hearts, 5 of diamonds — 3 points.
• run of three: 3 of spades, 4 of hearts, 5 of diamonds — 3 points.

Other available cuts of this rank: 4 of clubs (12 points); 4 of diamonds (13 points); 4 of spades (12 points). The cut suit changes the score here because of a flush or nobs.

How this cut compares

For these four held cards, 44 possible cuts score less than 12, 3 score the same (including the 4 of hearts), and 1 score more.

Across all 48 possible cut cards, the score ranges from 4 to 13 points, averaging 6.90 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.