Chapter 13.1, Problem 10PPS

To determine

To represent sample space where multiple versions of triangles are available.

Answer to Problem 10PPS

(i) Organized List

{A,I},{A,S},{O,I},{O,S}

(ii) Table

Outcomes	Isosceles	Scalene
Acute	A,I	A,S
Obtuse	O,I	O,S

(iii) Tree Diagram

  

Explanation of Solution

Given information: An event where multiple versions of triangles are available.

Explanation-

Let A represent the event of an acute triangle.

Let O represent the event of an obtuse triangle.

Let I represent the event of an isosceles triangle.

Let S represent the event of an scalene triangle.

On choosing type of triangles between exercises, the sample space will be represented as-

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

Outcomes	Isosceles	Scalene
Acute	A,I	A,S
Obtuse	O,I	O,S

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