Full Question :
A local college student will be randomly selected to attend a leadership conference in Washington, D.C. There are 2060 local college students, of which 40% are male. 520 of the college students are graduate students, and half of the graduate students are female. Which of the following best represents the probability that the selected college student will be a male student or a graduate student?
A)48 percent B) 52 percent C) 42 percent D)56 percent
Answer and Explanation:
Total local college students = 2060
40% of local college students male = 0.40×2060 = 824
College students who are graduates =
520
College students who are male graduates=520-260(half of college graduates are female)=260
Probability= number of favorable outcomes/total number of outcomes
Probability of selecting a male student or a graduate student
= probability of selecting a male student + probability of selecting a graduate student
= 820/2060+260/2060
=1080/2060
= 54/103 = 0.5242
Probability is approximately = 52%
Answer B
