3♣ 4♣ 6♣ 7♣ + 2♥ cut = 11 points

What the 2 of hearts contributes

Holding 3 of clubs, 4 of clubs, 6 of clubs, 7 of clubs with the 2 of hearts as the cut scores 11 points in the hand.

Scoring combinations involving the 2 of hearts contribute 7 points. The remaining 4 points come from combinations entirely within the four held cards.

• fifteen: 2 of hearts, 6 of clubs, 7 of clubs — 2 points.
• fifteen: 2 of hearts, 3 of clubs, 4 of clubs, 6 of clubs — 2 points.
• run of three: 2 of hearts, 3 of clubs, 4 of clubs — 3 points.

Other available cuts of this rank: 2 of clubs (12 points); 2 of diamonds (11 points); 2 of spades (11 points). The cut suit changes the score here because of a flush or nobs.

How this cut compares

For these four held cards, 36 possible cuts score less than 11, 6 score the same (including the 2 of hearts), and 6 score more.

Across all 48 possible cut cards, the score ranges from 4 to 14 points, averaging 7.19 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.