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