2015 Gauss 8 Problem 14

Carolyn has a \$5 bill, a \$10 bill, a \$20 bill, and a \$50 bill in her wallet. She closes her eyes and removes one of the four bills from her wallet. What is the probability that the total value of the three bills left in her wallet is greater than \$70?

\textbf{(A)}\ 0.5\quad \textbf{(B)}\ 0.25\quad \textbf{(C)}\ 0.75\quad \textbf{(D)}\ 1\quad \textbf{(E)}\ 0

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 Gauss contests here.