The table below shows the preferences for elective courses o

The table below shows the preferences for elective courses of students who are undecided about their majors.

Philosophy

Digital Art

Film Studies

Male

9

16

22

Female

6

18

14

What is the probability of randomly selecting a student who is female or prefers Digital Art?

A.46.2%

B.63.5%

C.21.2%

D.84.7%

Solution

A- select student who is female
B- select student who prefers digital art

so,
P(A or B) = P(A) +P(B) -P(A and B)
                 = (6+18+14)/(6+18+14+9+16+22)     +       (16+18)/(6+18+14+9+16+22)     -        18/(6+18+14)
                = 38/85   + 34/85   -18/85
               =0.63529

hence ,answer is B