Question

the diagram shows the sports played by 80 students.
if a student is picked at random, what is the probability that they play
a football?

Explanation:

Step1: Find the number of students who play football

Add up all the numbers in the football - related regions of the Venn diagram: \(14 + 31+17 + 4=66\)

Step2: Calculate the probability

The probability \(P\) that a randomly - picked student plays football 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 play football) is \(66\), and the total number of outcomes (total number of students) is \(80\). So \(P = \frac{66}{80}\)

Answer:

\(\frac{66}{80}\)