6♦ 8♣ 8♦ 8♥ + 7♥ cut = 21 points

What the 7 of hearts contributes

Holding 6 of diamonds, 8 of clubs, 8 of diamonds, 8 of hearts with the 7 of hearts as the cut scores 21 points in the hand.

Scoring combinations involving the 7 of hearts contribute 15 points. The remaining 6 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 diamonds — 2 points.
• fifteen: 7 of hearts, 8 of hearts — 2 points.
• run of three: 6 of diamonds, 7 of hearts, 8 of clubs — 3 points.
• run of three: 6 of diamonds, 7 of hearts, 8 of diamonds — 3 points.
• run of three: 6 of diamonds, 7 of hearts, 8 of hearts — 3 points.

Other available cuts of this rank: 7 of clubs (21 points); 7 of diamonds (21 points); 7 of spades (21 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 44 possible cuts score less than 21, 4 score the same (including the 7 of hearts), and 0 score more.

Across all 48 possible cut cards, the score ranges from 6 to 21 points, averaging 8.17 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.