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.

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Kobika Kobika · Answer 1 · 2017-05-01T04:50:41+02:00

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

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windyyork windyyork · Answer 2 · 2019-06-18T09:49:49+02:00

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

Step-by-step explanation:

Since we have given that

Radius of shaded center circle = 1

So, Area of shaded center circle is given by

[tex]\pi r^2\\\\=\pi \times 1^2\\\\=\pi[/tex]

Radius of entire dartboard = 4

Area of entire dartboard is given by

[tex]\pi\times 4^2\\\\=16\pi[/tex]

Area of white part is given by

[tex]16\pi-\pi\\\\=15\pi[/tex]

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

[tex]\dfrac{15\pi}{16\pi}\\\\\\=\dfrac{15}{16}=0.9375\approx 1[/tex]

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