Question 11
The students at a certain high school have an elective period, where each student chooses an elective from among four
options. The following table shows the number of students who selected each elective for the 1,500 students at the high
school.

art 385
music 365
physical education 380
engineering 370
total 1,500

One student from the school will be selected at random. What is the probability the selected student chose the art elective
and the music elective?
А 0
B 385/1500
C 365/750
D 750/1500
E 385/750

Respuesta :

Answer:

D. [tex]\frac{750}{1500}[/tex] would be my first answer, but make sure it's not a trick question. The answer could possibly be A. 0

Explanation:

Since we are choosing from the entire highschool, we know that our denomination should be 1500, which is the total number of students in the school.

Furthermore, if we want to select either a student with a music or art elective, then there are 385 students with art electives and 365 students with music electives.

So, we just add them up and divide by the total number:

[tex]\frac{385+365}{1500}[/tex] = [tex]\frac{750}{1500}[/tex] as the probability.

Note: I'm not sure if it was a trick question though. The questions asks for the probability that a student chose both an art and a music elective, which is impossible because "each student chooses an elective," not multiple.

In this case, the answer would be 0.