select the correct answer. the venn - diagram shows the number of students in an eighth - grade class taking…

select the correct answer. the venn - diagram shows the number of students in an eighth - grade class taking art and drama as their electives. 14 of the students take both electives. 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, 10. a. fraction1 b. fraction2 c. fraction3 d. fraction4
Answer
Explanation:
Step1: Find total students
$34 + 14+44+10=102$
Step2: Find students taking either subject
$34 + 14+44 = 92$
Step3: Calculate probability
$P=\frac{92}{102}=\frac{46}{51}$
Answer:
(Assuming one of the options is $\frac{46}{51}$) If options are in fraction form, the correct answer is the option with $\frac{46}{51}$.