MCQ
Thirty two persons $X_1, X_2, \ldots, X_{32}$ are randomly seated around a circular table at equal intervals. Two persons $X_i$ and $X_j$ are said to be within earshot of each other if there are at most three persons between them on the minor arc joining $X_i$ and $X_j$. The
probabiliky that $X_1$ and $X_3$ are within earshot of each other is, Here, $\left.{ }^n C_r=\frac{n !}{(n-r) ! r !}\right)$
- A$\frac{\left(\begin{array}{c}32 \\ 2\end{array}\right) 30 !}{8(32 !)}$
- B$\frac{(2)^{30 !}}{4(32 !)}$
- ✓$\frac{8}{31}$
- D$\frac{4}{31}$