section 5.3 homework\nscore: 5/13 answered: 5/13\nquestion 6\na quick quiz consists of a multiple - choice…

section 5.3 homework\nscore: 5/13 answered: 5/13\nquestion 6\na quick quiz consists of a multiple - choice question with 6 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.\nreport the answer as a percent rounded to two decimal place accuracy. you need not enter the “%” symbol.\nprobability =

section 5.3 homework\nscore: 5/13 answered: 5/13\nquestion 6\na quick quiz consists of a multiple - choice question with 6 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.\nreport the answer as a percent rounded to two decimal place accuracy. you need not enter the “%” symbol.\nprobability =

Answer

Explanation:

Step1: Calculate probability of first - question correct

The probability of getting a single multiple - choice question with 6 possible answers correct by random guess is $\frac{1}{6}$.

Step2: Calculate probability of second - question correct

The probability of getting the second multiple - choice question with 6 possible answers correct by random guess is also $\frac{1}{6}$.

Step3: Calculate probability of both correct

Since the two events are independent, we multiply the probabilities. So the probability that both responses are correct is $\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$.

Step4: Convert to percentage

To convert $\frac{1}{36}$ to a percentage, we calculate $\frac{1}{36}\times100\approx 2.78$.

Answer:

2.78