Question

Find the probability that a randomly chosen point is located within the shaded region. Write your answer as a decimal, and

Answer 1

Answer:

$Probability = 0.25$

Step-by-step explanation:

Given

The attached shape

Required

Probability of locating within the shaded region

First, calculated the area of the shaded region

$A_1 = 0.5 * base * height$

Where

$base = 8cm\\ height = 6cm$ --- given

So:

$A_1 = 0.5 * 8cm* 6cm$

$A_1 = 24cm^2$

Next, calculated the area of the complete rectangle

$A_2 = Length* Width$

Where

$Width = 12cm\\ Length = 8cm$ --- given

So:

$A_2 = 12cm * 8cm$

$A_2 = 96cm^2$

The required probability is:

$Probability = \frac{A_1}{A_2}$

$Probability = \frac{24cm^2}{96cm^2}$

$Probability = 0.25$