Brenda throws a dart at this square-shaped target:
A square is shown with sides labeled 11. A shaded circle is shown in the center of the square. The diameter of the circle is 2.
Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer. (5 points)
Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer. (5 points)
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Compare the area of the black circle to the area of the square without the black circle. Visually it would appear that there is less black area than white, so the probability of hitting black is less than 50%. This means that this probability is closer to 0 than to 1.
The same line-of-thinking leads us to the observation that the probability of hitting white is greater than 50% and thus closer to 1 than to 0.