Answer:
Probability that point chosen is in large circle but not in shaded region:
P = 84%
Step-by-step explanation:
Given that
r = 2 inches
R = 5 inches
Area of Small circle (shaded region):
[tex]A=\pi{r}^2\\A=\pi(2)^2\\A=12.56 in^2[/tex]
Area of Large circle:
[tex]A=\pi{r}^2\\A=\pi(5)^2\\A=78.5in^2[/tex]
Probability of Point being chosen is inside shaded region:
[tex]P=\frac{12.56}{78.5}\\P=0.16\\P=16\%[/tex]
Probability of Point being chosen is NOT inside shaded region:
P = 100% - 16%
P = 84%
