A quick quiz consists of a multiple-choice question with 6 possible answers followed by a multiple-choice question with 5 possible answers.

Question

If both questions are answered with random guesses, find the probability that both responses are correct.

Report the answer rounded to three decimal place accuracy.

Answer 1

The probability that the first multiple choice problem is answered correctly is 1/6 and the probability that the second multiple choice question is answered correctly is 1/5. Since answering these two questions are independent events, the probability of answering them both correctly is 1/5 * 1/6 = 1/30.