A quick quiz consists of a multiple-choice question with 3 possible answers followed by a multiple-choice question with 6 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.

Report the answer as a percent rounded to one decimal place accuracy.

prob = ___________ %

If every multiple choice question just have 1 correct response, the probability that the first question is correct is 1/3 and the probability that the second question is correct is 1/6. Because the first question have 3 possible answers and the second question have 6 possible answers.

So, the probability that both responses are correct is calculated as a multiplication between the both probabilities as:

[tex]Prob=\frac{1}{3}*\frac{1}{6} =0.0555[/tex]

Then, if the answer need to be as a percentage rounded to one decimal place accuracy, we need to multiply by 100% and rounded as:

Prob = 0.0555*100%=5.6%