Chapter 13, Problem 11SGR

To determine

Represent the sample space for each experiment by making an organized list , a table , and a tree diagram.

Explanation of Solution

Given:

A movie theatre sells small (S) , medium (M), and large(L) size popcorn with the choice of no butter (NB), butter(B), and extra butter (EB).

Calculation:

The events of choosing size and flavour of popcorns are all independent.

The Sample space :

Organized list −

{ (S,NB) , (S,B) , (S,EB) ,

(M,NB), (M,B) , (M,EB) ,

(L,NB), (L,B) , (L,EB) }

Table -

Outcome	Small	Medium	Large
No Butter	(S,NB)	(M,NB)	(L,NB)
Butter	(S,B)	(M,B)	(L,B)
Extra Butter	(S,EB)	(M,EB)	(L,EB)

Tree Diagram −