What is the probability that ONE dart lands in:
1. The red area
2. The Yellow Area.
3. If 25 darts were thrown, about how many would land in the blue zone?
Thank you!
+129849 Total area = 16^2 = 256
Red area = pi (2)^2 = 4pi
Yellow area = pi (4^2 - 2^2) = 12 pi
Blue Area = 256 - pi (4)^2 = 256 - 16pi
1. P(red area) = 4pi/256 = pi/64 ≈
2. P ( yellow area ) = 12 pi / 256 = (3/64) pi
3. If 25 darts were thrown we expect that [ 256 - 16 pi ] / 256 ≈ .80 = about 80% would land in the blue area....so 25 *(.80) ≈ 20 would land in the blue area
