On a multiple-choice test you randomly guess the answers to two questions. Each question has five choices.
What is the probability that you get both answers correct?
Each question has a 1/5 chance of getting it correct solely by guessing. The probability of both/all events is found by multiplying the probability of the individual events.
To find the probability of guessing both answers correctly, we need to determine the probability of guessing each answer correctly and then multiply those probabilities together.
Since there are five choices for each question, the probability of guessing one answer correctly is 1 out of 5, or 1/5.
Therefore, the probability of guessing both answers correctly is (1/5) * (1/5) = 1/25 or 0.04.
So, the probability of getting both answers correct is 1/25 or 0.04.