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Question: Sophia throws a dart at this square-shaped target: A square is shown with sides labeled 9. A shaded circle is shown in the center of the square. The diameter of the circle is 3. Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work. (5 points) Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work. (5 points)

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Part A: The probability of hitting the black circle inside the target is closer to 1. This is because the area of the black circle is 9π, while the area of the square is 81. Therefore, the probability of hitting the black circle is (9π/81) = (3/9), which is closer to 1. Part B: The probability of hitting the white portion of the target is closer to 0. This is because the area of the white portion of the square is 72 (81-9π), while the area of the circle is 9π. Therefore, the probability of hitting the white portion of the target is (72/81), which is closer to 0.

March 7, 2023, 5:02 p.m.

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