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 does not prefer the zoo?

Explanation:

Step1: Calculate number of students who don't prefer zoo

The number of students who prefer the zoo is \(40 + 20=60\). The total number of students is \(130\). So the number of students who don't prefer the zoo is \(130 - 60=70\).

Step2: Calculate the probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (students who don't prefer the zoo) is \(70\) and the total number of outcomes (total students) is \(130\). So the probability \(P = \frac{70}{130}=\frac{7}{13}\).

Answer:

\(\frac{7}{13}\)