This venn diagram shows the pizza topping preferences for nine students let event a = the student likes pepperoni let event b = the student likes olives what is p( a or b) a. 1/6 b. 2/9 c. 5/9 d. 7/9

  B.  5/9

Step-by-step explanation:

There are 5 names listed in the circles representing pepperoni and olives, so of the 9 students, 5 like pepperoni or olives.

  P(A or B) = 5/9

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where  

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

Since 6 students like pepperoni out of 9:

Since 4 students like olive out of 9:

Since 3 students like both toppings out of 9

Then we have

Step-by-step explanation:

Given: Total number of the students are nine. Since there are 6 in total students who likes pepperoni and olives. Therefore,

P(A or B)=

=

=

D

Step-by-step explanation:

There are 6 students who like pepperoni or olives

joe katie noah maria zack or julia

there were 9 students serveyed

P (aor b) = 6/9 = 2/3

Option C - (Maria , Jack and Bo)

Step-by-step explanation:

Given : The Venn diagram shows the pizza topping preferences for 9 students.

To find : What are the elements are in A and B?

Solution :

Let event A =  student like pepperoni

Let event B = students like olives  

We have to find the elements in A and B

A and B means the intersection of event A and event B.  

From the Venn Diagram, the number of students who likes Pepperoni and Olives are the students in the intersection of the two circles inside the rectangle.

The students in the intersection of A and B are Maria , Jack and Bo.

Therefore, Option C is correct.

Option: C is the correct answer.

                 C.  { Maria, Zack }

Event A= student likes pepperoni

Event B= Student likes Olives

The element in the set A and B are the elements which are common to both the set.

i.e. they are the element which lie in the intersection of the two sets.

Set A={ Joe,Kalie,Noah,Maria,Zack}

Set B={Maria,Zack,Julia}

Hence, the element which are common to both the set.

i.e. The element in A and B are: {Maria,Zack}

Step-by-step explanation:

A and B denote the elements that are in both circles (meaning they like both toppings).

As we can see from the diagram, both Maria and Zak like both toppings.

See also attached image.