Chapter 13.3, Problem 38HP

To determine

To draw:

Three different geometric figures to represent $20\%$ probability.

Explanation of Solution

Graph:

  

1

  

2

  

3

Interpretation:

A probability of $20\%$ can be represented by randomly choosing a point on a line segment, randomly choosing a point in a shaded area of a square that is $20\%$ of the total area of a larger square, or randomly choosing a point on $20\%$ shaded area of a circle.

For a line that contains the points A, B, and C, the probability that a randomly chosen point on lies between points A and B is equal to $20\%$ when the line is as shown in figure 1.

For a square that has a total area of $100in{.}^2$ with an un-shaded area of $20in{.}^2$ , the probability that a randomly chosen point lies within the un-shaded area is $20\%$ as shown in figure 2.

For a circle that has a total area of $100in{.}^2$ with an un-shaded sector of $20in{.}^2$ , the probability that a randomly chosen point lies within the un-shaded area is $20\%$ as shown in figure 3.