Red Perimeter 1 – Extend the Pattern

Probability Level 1

Given n×n n \times n squares made out of 1×1 1 \times 1 unit squares with the perimeter of the n×n n \times n square painted red, some of the 1×1 1 \times 1 squares will be painted on 2 sides, some on only 1 side, and some won't be painted at all.

How many unit squares will be painted red on only 1 side in a 4×4 4 \times 4 square (not pictured)?


This problem is part of Arron's set The Red Perimeter.

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