3♦ 4♦ 5♦ 8♦ + 4♥ cut = 16 points

What the 4 of hearts contributes

Holding 3 of diamonds, 4 of diamonds, 5 of diamonds, 8 of diamonds with the 4 of hearts as the cut scores 16 points in the hand.

Scoring combinations involving the 4 of hearts contribute 7 points. The remaining 9 points come from combinations entirely within the four held cards.

• fifteen: 3 of diamonds, 4 of hearts, 8 of diamonds — 2 points.
• run of three: 3 of diamonds, 4 of hearts, 5 of diamonds — 3 points.
• Pair: 4 of diamonds, 4 of hearts — 2 points.

Other available cuts of this rank: 4 of clubs (16 points); 4 of spades (16 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 42 possible cuts score less than 16, 3 score the same (including the 4 of hearts), and 3 score more.

Across all 48 possible cut cards, the score ranges from 9 to 18 points, averaging 12.25 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.