Question

A quick quiz consists of a multiple-choice question with 6 possible answers followed by a multiple-choice question with 3 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. You need not enter the "%" symbol.
prob = %

Answer 1

Given that the quiz has;

A multiple-choice question with 6 possible answers

A multiple-choice question with 3 possible answers

In the first question;

⇒The 6 choices,each has the probability of 1/6 to be picked

In the second question;

⇒The three choices, each has a probability of 1/6 to be picked

1/3

Finding the probability that both responses are correct will be;

1/6* 1/3=1/18

As a percentage will be

1/18 * 100= 5.6%