Question

select the correct answer. the venn diagram shows the number of students in an eighth - grade class taking art and drama as their electives. fifteen of the students take neither elective. what is the probability of a student chosen at random from the class taking either of these subjects as an elective? 8th grade. art: 34, 14. drama: 44. 15. a. $\frac{14}{107}$ b. $\frac{78}{107}$ c. $\frac{15}{107}$ d. $\frac{92}{107}$

Explanation:

Step1: Find total students in either subject

$34 + 14+44=92$

Step2: Find total students in class

$34 + 14+44 + 15=107$

Step3: Calculate probability

Probability = $\frac{92}{107}$

Answer:

D. $\frac{92}{107}$