Question

A dart is thrown and it hits the dartboard. The dart is equally likely to land on any point on the dart board. Find the probability that the dart lands in the red region. (The measurements are in inches).

• A. 10%
• B. 5%
• C. 15%
• D. 20%

Answer 1

The correct option is B 5%

We first find the ratio of the area of the red region to the area of the dartboard.

P(Dart lands in red region) =
$$\frac{Areaofredregion}{Areaofdartboard}$$ $$=\frac{\pi \left(2\right)²}{\left(16\right)²}=4\pi /256$$ = 0.05

The probability that the dart lands in the red region is about 0.05, or 5%.