21.4k views
5 votes
A quick quiz consists of a multiple choice question with 6 possible answers followed by multiple choice question with 3 possible answers if both questions are answered with random guesses find the probability that both responses are correct

User Fooiey
by
7.5k points

2 Answers

4 votes
We have a probability of
\frac 1 6 to get the first correct and
\frac 1 3 to get the second correct so a combined probability of


\frac 1 6 * \frac 1 3 = \frac 1 {18}

User FortuneCookie
by
8.2k points
2 votes

Answer:

Prob = 5.6%

Explanation:

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

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

1/6 x 1/3 = 1/18 = 0.0555

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

Prob = 0.0555*100%=5.6%

User Deneene
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories