Question

If the total area of a dartboard is 30,000 mm2 and the area of the bull's-eye is 700 mm2, what is the probability of getting a bull's-eye?

Answer 1

The probability is 2.3%

Answer 2

Answer:  The required probability is 2.33%.

Step-by-step explanation:  Given that the total area of a dartboard is 30,000 mm² and the area of the bull's-eye is 700 mm².

We are to find the probability of getting the bull's eye.

We know that

to find the probability, we divide the quantity of favorable conditions by the total quantity available.

Therefore, the required probability of getting bull's eye is given by

$P=\dfrac{\textup{area of bull's eye}}{\textup{total area of a dartboard}}\\\\\\\Rightarrow P=\dfrac{700}{30000}\\\\\Rightarrow P=\dfrac{7}{300}\\\\\Rightarrow P=\dfrac{700}{300}\%\\\\\Rightarrow P=2.33\%.$

Thus, the required probability is 2.33%.