4♣ 5♥ 5♠ 6♦ + 6♥ cut = 24 points

What the 6 of hearts contributes

Holding 4 of clubs, 5 of hearts, 5 of spades, 6 of diamonds with the 6 of hearts as the cut scores 24 points in the hand.

Scoring combinations involving the 6 of hearts contribute 12 points. The remaining 12 points come from combinations entirely within the four held cards.

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

Other available cuts of this rank: 6 of clubs (24 points); 6 of spades (24 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 24, 6 score the same (including the 6 of hearts), and 0 score more.

Across all 48 possible cut cards, the score ranges from 12 to 24 points, averaging 15.96 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.