Answer:
Part A:
The probability of hitting the black circle is the ratio between the area of the black circle and the white square (including the black circle)
Area of circle:
Ac = pi x r^2 = pi x (2/2)^2 = pi (diameter = 2)
Area of square:
As = side^2 = 11^2 = 121 (side = 11)
=> P = pi/121 = ~0.025 (P = 0.025 < 0.5 => P is closer to 0 than 1)
Part B:
The probability of hitting the white portion could be calculated in a similar way as shown in part A. However, the event of hitting the white portion is the complement event of the event of hitting the black circle.
Because P(event) + P(complement of event) = 1
=> P = 1 - 0.025 = 0. 975 (P = 0.975 > 0.5 => P is closer to 1 than 0)
