Question

one hundred upper division students attending a career fair at a university were categorized according to class and according to primary career motivation. the following table shows the results. if one of these students is to be selected at random, find the probability that the student selected is motivated primarily by creativity or a sense of giving to society, given that the student is a junior.

the probability that the student selected is motivated primarily by creativity or a sense of giving to society, given that the student is a junior is
(simplify your answer. type an integer or a fraction.)

primary career motivation	junior	senior	total
allowed to be creative	20	15	35
sense of giving to society	14	16	30
total	52	48	100

Explanation:

Step1: Identify Junior Students

Total junior students: 52 (from the "Total" row under "Junior").

Step2: Identify Creative or Society Motivated Juniors

Creative motivated juniors: 20; Society motivated juniors: 14.
Sum: \( 20 + 14 = 34 \).

Step3: Calculate Probability

Probability = \( \frac{\text{Creative or Society Juniors}}{\text{Total Juniors}} = \frac{34}{52} \). Simplify: \( \frac{34 \div 2}{52 \div 2} = \frac{17}{26} \).

Answer:

\(\frac{17}{26}\)