Venn diagram is defined as all of the possible relations between a finite collection of sets.
The value of P( A or B) is 2/3, the correct option is D.
What is the Venn diagram?
Venn diagram is defined as all of the possible relations between a finite collection of sets.
Given
This Venn diagram shows the pizza topping preferences for 9 students.
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.
The formula is;
[tex]\rm P(A\ or \ B)= P(A)+P(B)- P(A\ and \ B)[/tex]
Substitute all the values in the formula;
[tex]\rm P(A\ or \ B)= P(A)\\\\\rm P(A\ or \ B)= \dfrac{6}{9}\\\\P(A\ or \ B)= \dfrac{2}{3}[/tex]
Hence, the value of P( A or B) is 2/3.
To know about the Venn diagram click the link given below.
https://brainly.com/question/2099071
