Question

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices- a, b, c, d, e- and only one correct answer. What is the probability that he answered both of the problems correctly? Write your answer as a fraction in simplest form.

Answer 1

2 problems and 5 answer choices = 5 x 5 = 25 possibilities

1 correct answer out of 5 = 1/5
1/5 x 1/5 = 1/25