Question

Brenda throws a dart at this square-shaped target: A square is shown with sides labeled 11. A shaded circle is shown in the center of the square. The diameter of the circle is 2. Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work. (5 points) Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work. (5 points)

Answer 1

Area of the square  = 11*11 = 121 
Area of the circle  = pi r^2 = pi*1^2 =  3.142
Part A
P( hitting the circle = 3.142 / 121  =  0.026 which is closer to 0.
Part B.
P(  hitting the white portion)  = 1 - 0.026 = 0.974 which is closer to 1.