A target consists of three concentric circles with radii of 1 ft, 2 ft, and 3 ft. If the probability of an arrow hitting the target at any point is equal, what is the probability that an arrow will hit the target in the outermost region of the circle?
A)1/3
B)5?
C)55.6%
D)None of the above.

Question

Quizplus · Accepted Answer

The probability that an arrow will hit a target in the outermost region of the circle is 55.6%. Solution Use the area of a circle equation A = ? r² 1. Find that area of the entire target where r = 3 feet. A = ?(3)² = 9? 2. Find the area of the outermost circle (subtract middle area from entire area) A = 9? -?(2)²= 5? 3. Probability of hitting the outermost circle is 5?/9? = 5/9, or 55.6%

A Target Consists of Three Concentric Circles with Radii of 1