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Consider a $5 \times 3$ gird as shown

Object A and B start moving simultaneously with the same speed in the plane along the grid via a sequence of steps each of unit length. A starts at $(0, 0)$ and moves right or up. B starts at $(3, 5)$ and move left or down. The probability that

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A and B do not meet is $\frac{169}{225} .$

A and B meet at $(a, b)$ where $a < b$ is $\frac{28}{225} .$

A and B meets is $\frac{57}{225} .$

A and B meet at $(a, b)$ where $a = b$ is $\frac{24}{225} .$

answer is B, C, D.

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