Probability of Independent Events

Question

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - a, b, c, d - and only one correct answer. What is the probability that he answered both of the questions correctly?

Write answer in simplest form.

Answer 1

I assume you intend the probability of correct answer in each case is 1/4.

Then the probability o 2 right answers is (1/4)*(1/4) = 1/16.