Question 1190648: A quick quiz consists of a multiple-choice question with 3 possible answers followed by a multiple-choice question with 5 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 two decimal place accuracy. You need not enter the "%" symbol.
Probability =
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Here's how to calculate the probability:
1. **Probability of a correct answer on the first question:** There are 3 possible answers, and only 1 is correct. So the probability of guessing correctly is 1/3.
2. **Probability of a correct answer on the second question:** There are 5 possible answers, and only 1 is correct. So the probability of guessing correctly is 1/5.
3. **Probability of both answers being correct:** Since the guesses are independent events, we multiply the probabilities:
(1/3) * (1/5) = 1/15
4. **Convert to a percentage:**
(1/15) * 100% ≈ 6.67%
Therefore, the probability that both responses are correct is approximately 6.67.
|
|
|
