Chapter 7, Problem 4PT2

To determine

To explain: The way that could be used to find the number of correct answers that Jason obtains

Answer to Problem 4PT2

By simulating the two digits that show the correct answer.

Explanation of Solution

Given:

Number of multiple questions = 10

Probability of correct answer should be $\frac{1}{5}$

Calculation:

Here, if one digit from the table of random digit simulates single answer using 0 or 1 = correct and all other digits = incorrect. In such case, 10 digits from the random digit table would stimulate 10 answers. So, it implies that there would be 2 digits that would depict the correct answer.

The probability of correct answer could be calculated as:

  $\begin{array}{c}P\left(\text{Correct answer}\right)=\frac{\text{Number of digits that show the correct answer}}{\text{Total digits}}\\ =\frac{2}{10}\\ =\frac{1}{5}\end{array}$

It could be said that the obtained probability is same as the required probability.

Thus, the correct option is (b).