Question

The Venn diagram shows the number of students in an eighth-grade class taking art and drama as their electives. What is the probability of a student chosen at random taking either of these subjects as an elective?

below is the diagram and the choices for answers next to it

Answer 1

Option B for plato

Explanation:

Answer 2

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.