Question

probability and sample spaces - item 4884
students at a local high school were asked to identify their favorite sport. the percentages of students favorite sports are shown.
use the drop - down menus to complete the sentences below.
if you choose a student at random, choosing a student whose favorite sport is has the highest probability.
this necessarily mean that choosing a student whose favorite sport is basketball is likely to happen.

Explanation:

Step1: Compare the percentages

We have the percentages for each sport: Baseball \(29\%\), Basketball \(42\%\), Football \(25\%\), Volleyball \(4\%\). Since \(42\%>29\%>25\%>4\%\), basketball has the highest percentage.

Step2: Analyze the second statement

A probability of \(42\%\) (for basketball) means that it is more likely than the other individual sports in the given set. But in general terms, an event with a probability of \(42\%\) (less than \(50\%\)) is not considered "likely" in a strict sense (where likely is often thought of as \(>50\%\)), but compared to the other sports in the table, it is the most probable.

Answer:

First blank: Basketball; Second blank: does not