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(D) Let $A$ occupy any seat at the round table. There are $14$ remaining seats available for $B$.For there to be $4$ persons between $A$ and $B$,$B$ m

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$\frac{1}{7}$

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(D) Let $A$ occupy any seat at the round table. There are $14$ remaining seats available for $B$.For there to be $4$ persons between $A$ and $B$,$B$ must occupy one of the two specific seats (one on the left side of $A$ and one on the right side of $A$) such that there are exactly $4$ people in the gap between them.Since there are $14$ total possible positions for $B$ and $2$ favorable positions,the required probability is $P = \frac{2}{14} = \frac{1}{7}$.

Fifteen persons,including $A$ and $B$,sit down at random at a round table. The probability that there are $4$ persons between $A$ and $B$ is

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