选择题

2023 AMC 8 Problem 23: Tile Grid Probability

Each square in a 3 × 3 grid is randomly filled with one of the 4 gray and white tiles shown below on the right. What is the probability that the tiling will contain a large gray diamond in one of the smaller 2 × 2 grids? Below is an example of such a tiling.

2023 AMC 8 第23题:平铺网格概率

3 × 3 网格中的每个方格都随机填充如下右图所示的 4 个灰色和白色瓷砖之一。平铺在较小的 2 × 2 网格之一中包含大灰色菱形的概率是多少?下面是此类平铺的示例。

A.
1/1024
B.
1/256
C.
1/64
D.
1/16
E.
1/4