Mr. A lives at origin on the Cartesian plane and has his office at $\left(4,5\right)$ His friend lives at $\left(2,3\right)$ on the same plane. Mrs. A can go to his office travelling one block at a time either in the $+y\text{or}+x$ direction. If all possible paths are equally likely then the probability that Mr. A passed his friends house is (shortest path for any event must be considere (a) $\frac{1}{2}$ (b) $\frac{10}{21}$ (c) $\frac{1}{4}$ (d) $\frac{11}{21}$

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