Provide an appropriate response. A group of students were asked if they carry a credit card. The responses listed in the table. \begin{tabular}{l|c|c|c} \multicolumn{1}{c|}{ Class } & \begin{tabular}{c} Credit Card \\ Carrier \end{tabular} & \begin{tabular}{c} Not a Credit Card \\ Carrier \end{tabular} & Total \\ \hline Freshman & 40 & 20 & 60 \\ Sophomore & 25 & 15 & 40 \\ Total & 65 & 35 & 100 \end{tabular} If a student is selected at random, find the probability that he or she owns credit card given that the student is a freshman. Round your answer to thre decimal places. 0.400 0.333 0.667 0.615

Step 1 ：The question is asking for the conditional probability that a student owns a credit card given that the student is a freshman. This can be calculated by dividing the number of freshmen who own a credit card by the total number of freshmen.

Step 2 ：Let's denote the number of freshmen who own a credit card as \(freshman\_credit\_card\) and the total number of freshmen as \(total\_freshman\).

Step 3 ：From the table, we know that \(freshman\_credit\_card = 40\) and \(total\_freshman = 60\).

Step 4 ：The probability can be calculated as \(probability = \frac{freshman\_credit\_card}{total\_freshman}\).

Step 5 ：Substitute the values into the formula, we get \(probability = \frac{40}{60} = 0.6666666666666666\).

Step 6 ：Round the answer to three decimal places, we get \(probability = 0.667\).

Step 7 ：Final Answer: The probability that a student owns a credit card given that the student is a freshman is \(\boxed{0.667}\).