AMC 10B 2017 Problem 14

An integer N is selected at random in the range 1 \leq N \leq 2020. What is the probability that the remainder when N^{16} is divided by 5 is 1 ?

Answer Choices
A. \dfrac{1}{5}
B. \dfrac{2}{5}
C. \dfrac{3}{5}
D. \dfrac{4}{5}
E. 1