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: If assuming 0 means the white part, then no. Part B:If assuming 0 means the black part, then yes.
Step-by-step explanation:
Part A: If assuming 0 means the white part, then no, there is a chance to hit the black circle but the circle is only about 1/9th, then the whole target, so putting it in numbers, it would be about 1/9 compared to 8/9. 8/ 9 has a higher chance.
Part B:If assuming 0 means the black part, then yes, as I said in Part A, it's basically comparing 1/9 to 8/9.1/9 being the black part and 8/9 being the white 8/9>1/9 which means the white portion has a higher probability.
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