2018 AMC 8 Problem 11

Abby, Bridget, and four of their classmates will be seated in two rows of three for a group picture, as shown.

\begin{aligned} \text{X}&\quad\text{X}\quad&\text{X} \\ \text{X}&\quad\text{X}\quad&\text{X} \end{aligned}

If the seating positions are assigned randomly, what is the probability that Abby and Bridget are adjacent to each other in the same row or the same column?

\textbf{(A) } \frac{1}{3} \qquad \textbf{(B) } \frac{2}{5} \qquad \textbf{(C) } \frac{7}{15} \qquad \textbf{(D) } \frac{1}{2} \qquad \textbf{(E) } \frac{2}{3}

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