select the correct answer. the venn diagram below shows the preferred location for the school field trip of…

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?

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?

Answer

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})