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 to the nearest whole number.
To determine the probability of correctly guessing exactly one correct answer, we need to count the number of favorable outcomes (getting exactly one correct answer) and divide it by the total number of possible outcomes.
From the given information that each question has five choices for each answer, we can conclude that the total number of possible outcomes for each question is 5.
Now, let's refer to the random number table provided to count the number of favorable outcomes (getting exactly one correct answer). We will use the 0's and 1's in the table to represent incorrect and correct answers, respectively.
Looking at each of the five answers in the random number table, we can see that there are 9 instances of 1's and 11 instances of 0's. This means that out of 20 trials (5 questions x 4 rows in the table), we have 9 instances where a random guess is correct.
Therefore, the number of favorable outcomes is 9.
The total number of possible outcomes is 20 (since we have 20 trials - 4 rows in the table x 5 questions).
The probability of correctly guessing at random exactly one correct answer is 9/20 = 0.45.
Rounding this to the nearest whole number, we get a probability of 0.45, which when rounded is 0.
Therefore, the probability of correctly guessing at random exactly one correct answer is 0, rounded to the nearest whole number.