Question

question 12 of 25
this venn diagram shows sports played by 10 students.
let event ( a = ) the student plays basketball.
let event ( b = ) the student plays soccer.
what is ( p(a \text{ or } b) )?
a. ( \frac{1}{5} )
b. ( \frac{4}{5} )

Explanation:

Step1: Count total number of students

Total number of students \(n = 10\)

Step2: Count number of students in \(A\) or \(B\)

Students in \(A\) or \(B\): Fran, Ian, Juan, Ella, Mai, Karl, Mickey, Marcus. So \(n(A\cup B)=8\)

Step3: Calculate \(P(A\ or\ B)\)

Using the formula \(P(A\cup B)=\frac{n(A\cup B)}{n}\), we have \(P(A\cup B)=\frac{8}{10}=\frac{4}{5}\)

Answer:

B. \(\frac{4}{5}\)