SOLUTION: Concentric circles are drawn on a circular dartboard such that the diameter of the inner bullseye is 1 inch and the diameter of the outer bull is 3 inches. A dart thrown at the dar
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-> SOLUTION: Concentric circles are drawn on a circular dartboard such that the diameter of the inner bullseye is 1 inch and the diameter of the outer bull is 3 inches. A dart thrown at the dar
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Question 1109026: Concentric circles are drawn on a circular dartboard such that the diameter of the inner bullseye is 1 inch and the diameter of the outer bull is 3 inches. A dart thrown at the dartboard always lands inside the board and every location on the board is equally likely to be hit by the dart. If the diameter of the dartboard is 18 inches, what is the probability that a dart thrown at the board misses the inner bullesye but lands inside the outer bull? Answer by KMST(5328) (Show Source):
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As the diameter of the outer bullseye circle is times the diameter of the inner bullseye small circle,
the area of the outer bullseye is times the area of the inner bullseye.
Similarly, as the diameter of the dartboard is times the diameter of the inner bullseye,
the area of the dartboard times the area of the inner bullseye.
If every location on the board is equally likely to be hit by the dart,
on average, out of every darts hitting the dartboard, dart that hits the 1-in diameter inner bullseye, darts miss the nner bullseye, but land inside the outer bull.
So, the probability that a dart thrown at the board misses the inner bullesye but lands inside the outer bull is .
