Question

Question 2 Multiple Choice Worth 5 points)

Answer 1

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):

$A=\pi{r}^2\\A=\pi(2)^2\\A=12.56 in^2$

Area of Large circle:

$A=\pi{r}^2\\A=\pi(5)^2\\A=78.5in^2$

Probability of Point being chosen is inside shaded region:

$P=\frac{12.56}{78.5}\\P=0.16\\P=16\%$

Probability of Point being chosen is NOT inside shaded region:

P = 100% - 16%

P = 84%