Question

a group of students were asked if they carry a credit card. the responses are listed in the table.

class	credit card carrier	not a credit card carrier	total
sophomore	11	29	40
total	38	62	100

if a student is selected at random, find the probability that they are a sophomore and carry a credit card. round your answers to three decimal places.
a. 0.950
b. 0.110
c. 0.289
d. 0.711

Explanation:

Step1: Recall probability formula

The probability of an event $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify favorable and total outcomes

The number of sophomores who carry a credit - card is 11 (favorable outcomes). The total number of students is 100 (total outcomes).

Step3: Calculate probability

$P=\frac{11}{100}=0.110$

Answer:

B. 0.110