A group of students were asked if they carry a credit card T
A group of students were asked if they carry a credit card. The responses are listed in the table.
If a student is selected at random, find the probability that he or she owns a credit card given that the student is a sophomore. Round your answer to three decimal places.
A) 0.325 B) 0.675 C) 0.375 D) 0.270
| Class | Credit Card Carrier | Not Credit Card Carrier | Total |
| Freshman | 45 | 15 | 60 |
| Sophomore | 27 | 13 | 40 |
| Total | 72 | 28 | 100 |
Solution
If the student is a sophomore, then you have to find the probability among a total of 40 students. Since 27 of them are carriers of a credit card, then the probability is 27/40 = 0.675.
