2020 Pascal Problem 19

Each of the following 15 cards has a letter on one side and a positive integer on the other side.

\begin{array}{ccccc} \boxed{\text{e}} & \boxed{17} & \boxed{57} & \boxed{60} & \boxed{\text{D}} \\[4pt] \boxed{43} & \boxed{\text{E}} & \boxed{3} & \boxed{7} & \boxed{13} \\[4pt] \boxed{31} & \boxed{88} & \boxed{\text{G}} & \boxed{\text{H}} & \boxed{21} \end{array}

What is the minimum number of cards that need to be turned over to check if the following statement is true?

“If a card has a lower case letter on one side, then it has an odd integer on the other side.”

\textbf{(A)}\ 11\quad \textbf{(B)}\ 9\quad \textbf{(C)}\ 7\quad \textbf{(D)}\ 5\quad \textbf{(E)}\ 3

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.