To find the probability of correctly guessing exactly five correct answers at random, we need to determine the probability of getting 5 correct answers in a row using the given random number table.
Looking at the random number table (assuming each digit has an equal probability of being chosen), there are 2 possible outcomes for each question: either a 0 (incorrect answer) or a 1 (correct answer).
Since there are 5 choices for each answer, the probability of randomly guessing a correct answer for one question is 1/5.
To calculate the probability of getting five correct answers in a row, we need to consider the probability of getting a correct answer multiplied by itself five times, since the outcomes are independent events. So the probability is (1/5)^5.
Using a calculator, we find that (1/5)^5 ≈ 0.00032.
Rounded to the nearest whole number, the probability of correctly guessing exactly five correct answers at random is 0%.
A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question:
What is the probability of correctly guessing at random exactly five correct answers? Round your answer to the nearest whole number.
3 answers
are you sure
Apologies for the mistake in my previous response.
Let's reconsider the probability calculation:
Since there are 5 choices for each answer, the probability of randomly guessing a correct answer for one question is 1/5.
To calculate the probability of getting five correct answers in a row, we need to consider the probability of getting a correct answer multiplied by itself five times, since the outcomes are independent events. So the probability is (1/5) * (1/5) * (1/5) * (1/5) * (1/5) = (1/5)^5.
Using a calculator, we find that (1/5)^5 = 1/3125 ≈ 0.00032.
Rounded to the nearest whole number, the probability of correctly guessing exactly five correct answers at random is 0%.
Let's reconsider the probability calculation:
Since there are 5 choices for each answer, the probability of randomly guessing a correct answer for one question is 1/5.
To calculate the probability of getting five correct answers in a row, we need to consider the probability of getting a correct answer multiplied by itself five times, since the outcomes are independent events. So the probability is (1/5) * (1/5) * (1/5) * (1/5) * (1/5) = (1/5)^5.
Using a calculator, we find that (1/5)^5 = 1/3125 ≈ 0.00032.
Rounded to the nearest whole number, the probability of correctly guessing exactly five correct answers at random is 0%.