4♥ 5♥ 7♥ 8♣ + 3♣ cut = 9 points

What the 3 of clubs contributes

Holding 4 of hearts, 5 of hearts, 7 of hearts, 8 of clubs with the 3 of clubs as the cut scores 9 points in the hand.

Scoring combinations involving the 3 of clubs contribute 7 points. The remaining 2 points come from combinations entirely within the four held cards.

• fifteen: 3 of clubs, 4 of hearts, 8 of clubs — 2 points.
• fifteen: 3 of clubs, 5 of hearts, 7 of hearts — 2 points.
• run of three: 3 of clubs, 4 of hearts, 5 of hearts — 3 points.

Other available cuts of this rank: 3 of diamonds (9 points); 3 of hearts (9 points); 3 of spades (9 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 9, 8 score the same (including the 3 of clubs), and 0 score more.

Across all 48 possible cut cards, the score ranges from 2 to 9 points, averaging 5.13 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.