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2018 AMC 8 Question 11

AMC8 · 2018 AMC 8

Question 11

Abby, Bridget, and four of their classmates will be seated in two rows of three for a group picture, as shown. $$
\begin{array}{ccc} \text{\text{X}}&\text{X}&\text{X} \\ \text{X}&\text{X}&\text{X} \end{array}
$$ 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?
  1. $ \dfrac{1}{3} $
  2. $ \dfrac{2}{5} $
  3. $ \dfrac{7}{15} $
  4. $ \dfrac{1}{2} $
  5. $ \dfrac{2}{3} $