Question

If a dart was thrown randomly at the dart board shown below, what is the probability that it would land in the bull's-eye? The radius of the bull's-eye is 2 cm, the radius of the middle circle is 8 cm, and the radius of the outer circle is 14 cm.

A) 6%
B) 3%
C) 2%
D) 8%

Answer 1

The probability that the dart will land in the bull's-eye is 2%.

Step-by-step explanation:

To calculate the probability that the dart will land on the bull's-eye, we need to compare the areas of the circles. The area of the bull's-eye circle is πr^2, where r is 2 cm.

The area of the middle circle is πr^2, where r is 8 cm.

The area of the outer circle is πr^2, where r is 14 cm.

So the probability of landing in the bull's-eye is the ratio of its area to the total area of the dartboard:

Probability = (π(2)^2) / (π(14)^2) = 4/196 = 0.0204 = 2%

Therefore, the probability that the dart will land in the bull's-eye is 2%.