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 one correct answer? Round your answer to the nearest whole number.
To determine the probability of guessing exactly one correct answer at random, we need to find the number of possible outcomes that result in exactly one correct answer.
Looking at the random number table provided, there are a total of 25 possible outcomes (5 questions with 5 choices each).
To correctly answer exactly one question, we need to have one "1" (correct answer) and four "0's" (incorrect answers).
Looking at the random number table, we can find the number of outcomes that meet this criteria:
00001
00010
00100
01000
10000
There are 5 outcomes that result in exactly one correct answer.
Therefore, the probability of guessing exactly one correct answer at random is 5/25 = 0.2.
Rounding this to the nearest whole number, the probability is approximately 20%.
are you sure
Apologies for the error. Looking at the random number table, a "1" (correct answer) appears randomly in each row, making it impossible to determine a specific number of outcomes that result in exactly one correct answer.
Since each choice has an equal probability of being correct, the probability of correctly guessing exactly one answer is equal to the probability of correctly guessing any single answer.
With five choices for each question and only one correct answer, the probability of correctly guessing a single answer at random is 1/5 = 0.2, or 20% when rounded to the nearest whole number.