The total number of students in 8th grade will be the sum of number of all students shown in the Venn Diagram, as the students in 8th class are the Universal set in this case.
So, total number of students in grade 8 = 34 + 14 + 44 + 15 = 107
Number of students who are taking either of these subjects as elective are shown in the colored regions and are equal to = 34 + 14 + 44 = 92
Probability of a student chosen at random taking either of these subjects as an elective = Student taking these courses as elective / Total number of students
So,
Probability of a student chosen at random taking either of these subjects as an elective = 92/107
Thus option B gives the correct answer.
