Question

Suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 1 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number.

Answer 1

this must double your chances so if i round the nearest whole number would be 8 any questions?

Answer 2

Answer: The probability of throwing a dart and hitting the white part of the board is 1.

Explanation:

Since we have given that

Radius of shaded center circle = 1

So, Area of shaded center circle is given by

`\pi r^2\\\\=\pi * 1^2\\\\=\pi`

Radius of entire dartboard = 4

Area of entire dartboard is given by

`\pi* 4^2\\\\=16\pi`

Area of white part is given by

`16\pi-\pi\\\\=15\pi`

So, Probability of throwing a dart and hitting the white part of the board is given by

`(15\pi)/(16\pi)\\\\\\=(15)/(16)=0.9375\approx 1`

Hence, the probability of throwing a dart and hitting the white part of the board is 1.