6♣ 7♦ 7♠ 8♣ + 6♥ cut = 20 points

What the 6 of hearts contributes

Holding 6 of clubs, 7 of diamonds, 7 of spades, 8 of clubs with the 6 of hearts as the cut scores 20 points in the hand.

Scoring combinations involving the 6 of hearts contribute 8 points. The remaining 12 points come from combinations entirely within the four held cards.

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

Other available cuts of this rank: 6 of diamonds (20 points); 6 of spades (20 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 20, 3 score the same (including the 6 of hearts), and 5 score more.

Across all 48 possible cut cards, the score ranges from 12 to 24 points, averaging 14.79 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.