Question

this venn diagram shows the pizza topping preferences for 9 students.
let event ( a ) = student likes pepperoni.
let event ( b ) = student likes olives.
what elements are in ( a ) and ( b )?
a. {bo, petal, owen}
b. {maria, zack}

Explanation:

Step1: Understand the meaning of \(A\) and \(B\)

Event \(A\) is the set of students who like pepperoni. Event \(B\) is the set of students who like olives. The elements in \(A\) and \(B\) are the students who are in both sets (the intersection of \(A\) and \(B\)).

Step2: Identify the intersection from the Venn - diagram

Looking at the Venn - diagram, the overlapping part (intersection) of the "LIKES PEPPERONI" circle and the "LIKES OLIVES" circle contains the names Maria and Zack.

Answer:

B. \{Maria, Zack\}