A group of students were asked if they carry a credit card. The responses are li

Question

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 is a freshman given that the student owns a credit card. Round your answer to three decimal points. (Points : 4)

Class                Credit Card       No credit card         total
Freshman              46                      14                      60
Sophmore               32                        8                      40
Total                      78                      22                     100


0.590
0.767
0.410
0.460

Explanation / Answer

P(owns a credit card) =78/100 So the probability that he or she is a freshman given that the student owns a credit card is P(freshman | owns a credit card ) = P(freshman and owns a credit card )/P(owns a credit card ) =(46/100)/(78/100) =46/78 = 0.59

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