6♣ 6♠ 7♥ 8♠ + 8♥ cut = 20 points

What the 8 of hearts contributes

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

Scoring combinations involving the 8 of hearts contribute 10 points. The remaining 10 points come from combinations entirely within the four held cards.

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

Other available cuts of this rank: 8 of clubs (20 points); 8 of diamonds (20 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 20, 6 score the same (including the 8 of hearts), and 0 score more.

Across all 48 possible cut cards, the score ranges from 10 to 20 points, averaging 13.04 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.