A research project on retention at a large university indicated that 20% of the students had a problem with stress while 25% reported problems with financial resources and 15% had a problem with both.What is the probability that a particular student has a problem with either stress or financial resources?
A)0.15
B)0.30
C)0.45
D)0.60

Question

Quizplus · Accepted Answer

To find the probability of a particular student having a problem with either stress or financial resources, we need to add the probability of students having a problem with stress to the probability of students having a problem with financial resources and then subtract the probability of students having a problem with both stress and financial resources (to avoid double counting).

Probability of students having a problem with stress = 20%
Probability of students having a problem with financial resources = 25%
Probability of students having a problem with both stress and financial resources = 15%

So, the probability of a particular student having a problem with either stress or financial resources = (20% + 25%) - 15% = 30%. Therefore, the best choice is B.

A Research Project on Retention at a Large University Indicated