Each square in a 3×33 \times 3 grid is randomly filled with one of the 4 gray-and-white tiles shown below on the left. What is the probability that the tiling will contain a large gray diamond in one of the smaller 2×22 \times 2 grids? An example of such a tiling is on the right.
A. 11024\frac{1}{1024}
B. 1256\frac{1}{256}
C. 164\frac{1}{64}
D. 116\frac{1}{16}
E. 14\frac{1}{4}

Mutually exclusive independent events中文
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C. 164\frac{1}{64}

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