Random Operations

\[\Huge{\color{black}{\boxed{1}}} \ \Huge{\color{red}{\square}} \ \Huge{\color{black}{\boxed{5}}} \ \Huge{\color{red}{\square}} \ \Huge{\color{black}{\boxed{2}}} \ \Huge{\color{red}{\square}} \ \Huge{\color{black}{\boxed{3}}} \ \Huge{\color{red}{\square}} \ \Huge{\color{black}{\boxed{4}}} \ \]

The four red boxes will be filled in with the operators \(+,\) \(-,\) \(\times,\) and \(\div\), randomly and without repetition.

However, you can rearrange the numbers \(1,2,3,4,5\) in the black boxes in any order that you want. Which of these orderings gives the maximum expected value for the expression?

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