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. 610 of the college student

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