Problem

2024 AMC 8 Problem 25

A small airplane has 4 rows of seats with 3 seats in each row. Eight passengers have boarded the plane and are distributed randomly among the seats. A married couple is next to board. What is the probability there will be 2 adjacent seats in the same row for the couple?

Problem 25 diagram

\textbf{(A)} \dfrac{8}{15} \qquad \textbf{(B)} \dfrac{32}{55} \qquad \textbf{(C)} \dfrac{20}{33} \qquad \textbf{(D)} \dfrac{34}{55} \qquad \textbf{(E)} \dfrac{8}{11}


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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