Question

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

Answer 1

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

 $\frac 1 6 \times \frac 1 3 = \frac 1 {18}$ 

Answer 2

Answer:

Prob = 5.6%

Step-by-step 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%