4♥ 4♠ 5♣ 6♦ + 4♦ cut = 21 points

What the 4 of diamonds contributes

Holding 4 of hearts, 4 of spades, 5 of clubs, 6 of diamonds with the 4 of diamonds as the cut scores 21 points in the hand.

Scoring combinations involving the 4 of diamonds contribute 9 points. The remaining 12 points come from combinations entirely within the four held cards.

• fifteen: 4 of diamonds, 5 of clubs, 6 of diamonds — 2 points.
• run of three: 4 of diamonds, 5 of clubs, 6 of diamonds — 3 points.
• Pair: 4 of hearts, 4 of diamonds — 2 points.
• Pair: 4 of spades, 4 of diamonds — 2 points.

Other available cuts of this rank: 4 of clubs (21 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 40 possible cuts score less than 21, 2 score the same (including the 4 of diamonds), and 6 score more.

Across all 48 possible cut cards, the score ranges from 12 to 24 points, averaging 15.54 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.