2016 Cayley Problem 12

Alejandro has a box that contains 30 balls, numbered from 1 to 30. He randomly selects a ball from the box where each ball is equally likely to be chosen. Which of the following is most likely?

\textbf{(A)}\ He selects a ball whose number is a multiple of 10.\quad \textbf{(B)} He selects a ball whose number is odd. \textbf{(C)}\ He selects a ball whose number includes the digit 3.\quad \textbf{(D)}\ He selects a ball whose number is a multiple of 5.\quad \textbf{(E)}\ He selects a ball whose number includes the digit 2.

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 Cayley contests here.