Question

select the correct answer. the venn diagram below shows the preferred location for the school field trip of 130 students. total number of students. if a student is chosen at random, what is the probability that the student prefers the zoo or the water park?

Explanation:

Step1: Calculate number of students who prefer zoo or water park

Add the number of students in each non - overlapping part and the overlapping part of the zoo and water park regions. So, \(40 + 20+20=80\).

Step2: Calculate probability

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (students who prefer zoo or water park) is 80 and the total number of students is 130. So, \(P = \frac{80}{130}=\frac{8}{13}\).

Answer:

\(\frac{8}{13}\)