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 she answered both of the problems correctly?
Write your answer as a fraction in simplest form.
The probability of correctly guessing the answer to one problem is 1/5, since there is only one correct answer out of the five answer choices. Since the student guessed on two problems, we need to find the probability of both of these events happening at the same time. We can do this by multiplying the probabilities together:
1/5 * 1/5 = 1/25
Therefore, the probability that the student answered both of the problems correctly is 1/25.