6♣ 7♦ 8♣ 8♠ + 7♥ cut = 24 points

What the 7 of hearts contributes

Holding 6 of clubs, 7 of diamonds, 8 of clubs, 8 of spades with the 7 of hearts as the cut scores 24 points in the hand.

Scoring combinations involving the 7 of hearts contribute 12 points. The remaining 12 points come from combinations entirely within the four held cards.

• fifteen: 7 of hearts, 8 of clubs — 2 points.
• fifteen: 7 of hearts, 8 of spades — 2 points.
• run of three: 6 of clubs, 7 of hearts, 8 of clubs — 3 points.
• run of three: 6 of clubs, 7 of hearts, 8 of spades — 3 points.
• Pair: 7 of diamonds, 7 of hearts — 2 points.

Other available cuts of this rank: 7 of clubs (24 points); 7 of spades (24 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 45 possible cuts score less than 24, 3 score the same (including the 7 of hearts), and 0 score more.

Across all 48 possible cut cards, the score ranges from 12 to 24 points, averaging 14.63 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.