Chapter 13.1, Problem 7PPS

To determine

To represent sample space for event where two different history classes are taking trip of Smithsonian or the Museum of natural history.

Answer to Problem 7PPS

(i) Organized List

{S,S},{S,N},{N,S},{N,N}

(ii) Table

Outcomes	S	N
S	S,S	S,N
N	N,S	N,N

(iii) Tree Diagram

  

Explanation of Solution

Given information: An event where two different history classes are taking trip of Smithsonian or the Museum of natural history.

Explanation-

Let S represent the event that the history class takes trip to Smithsonian.

Let N represent the event that the history class takes trip to museum of Natural history.

On choosing between the trips, the sample space will be represented as-

1. Sample Space using an organized list-
{S,S},{S,N},{N,S},{N,N}
2. Sample Space using a table will be represented as-

Outcomes	S	N
S	S,S	S,N
N	N,S	N,N

3. Sample Space using a tree diagram will be represented as-