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Problem 334

Combinatorics Difficulty 2.0 Find the answer CEMC Fermat · Canada · 2000

The digits 2, 2, 3, and 5 are randomly arranged to form a four digit number. What is the probability that the sum of the first and last digits is even?

(A) $\frac{1}{4}$ (B) $\frac{1}{3}$ (C) $\frac{1}{6}$ (D) $\frac{1}{2}$ (E) $\frac{2}{3}$

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