Answer:
[tex]Probability = 0.25[/tex]
Step-by-step explanation:
Given
The attached shape
Required
Probability of locating within the shaded region
First, calculated the area of the shaded region
[tex]A_1 = 0.5 * base * height[/tex]
Where
[tex]base = 8cm\\ height = 6cm[/tex] --- given
So:
[tex]A_1 = 0.5 * 8cm* 6cm[/tex]
[tex]A_1 = 24cm^2[/tex]
Next, calculated the area of the complete rectangle
[tex]A_2 = Length* Width[/tex]
Where
[tex]Width = 12cm\\ Length = 8cm[/tex] --- given
So:
[tex]A_2 = 12cm * 8cm[/tex]
[tex]A_2 = 96cm^2[/tex]
The required probability is:
[tex]Probability = \frac{A_1}{A_2}[/tex]
[tex]Probability = \frac{24cm^2}{96cm^2}[/tex]
[tex]Probability = 0.25[/tex]
