Concept explainers
To explain:
The probability of a randomly chosen point falling in the shaded region of the given two squares is the same.
Answer to Problem 39HP
The probability of a randomly chosen point falling in the shaded region of the given two squares is the same.
Explanation of Solution
Given information:
Calculation:
Let X represent a randomly chosen point falling within the shaded region of the square with the inner shaded region.
The probability of a randomly chosen point falling in the inner shaded region of the first square is equal to the area of the shaded region divided by the total area of the square.
Now,
Let X represent a randomly chosen point falling within the shaded region of the square with the outer shaded region.
The probability of a randomly chosen point falling in the inner shaded region of the first square is equal to the area of the shaded region divided by the total area of the square.
Therefore, since the probability that a randomly chosen point falls within the shaded region of each square is
Chapter 13 Solutions
Geometry, Student Edition
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