Question

A target is made of a yellow square inside of a green square. What is the theoretical probability that a dart will hit the green square if the side length of the yellow square is 4, and the side length of the green square is 8?
A. 0.25
B. 0.5
C. 0.75
D. 0.8

Answer 1

The dart is equally likely to land anywhere on the outer (green) square. Probability it hits the green region (outside the yellow) = (area of green region)/(area of outer square) = (8^2 − 4^2)/8^2 = (64 − 16)/64 = 48/64 = 3/4 = 0.75. Answer: C.