+1836 The dartboard below has a radius of 6 inches. Each of the concentric circles has a radius two inches less than the next larger circle. If nine darts land randomly on the target, how many darts would we expect to land in a non-shaded region?
Target has three rings. The middle of it all is shaded
+129852 The total area of the dartboard = 36pi
The "shaded" area between the circle with a radius of 4 and a radius of 2 = [4^2 - 2^2]pi = 12pi
So, the probability that any one dart thrown lands in this area = 12pi / 36pi = 1/3
So, the probability that any dart lands in a "non-shaded" area = 1 - 1/3 = 2/3
So, if 9 darts are thrown, 2/3 of them should land in this area = 6 darts.
Here's a rough pic.....area "d" is the shaded one....areas "c" and "e" are the ones of interest.....
+129852 The total area of the dartboard = 36pi
The "shaded" area between the circle with a radius of 4 and a radius of 2 = [4^2 - 2^2]pi = 12pi
So, the probability that any one dart thrown lands in this area = 12pi / 36pi = 1/3
So, the probability that any dart lands in a "non-shaded" area = 1 - 1/3 = 2/3
So, if 9 darts are thrown, 2/3 of them should land in this area = 6 darts.
Here's a rough pic.....area "d" is the shaded one....areas "c" and "e" are the ones of interest.....
