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Wendy throws a dart at this square-shaped target:

A square is shown with sides labeled 10. 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 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)

Wendy throws a dart at this squareshaped target A square is shown with sides labeled 10 A shaded circle is shown in the center of the square The diameter of the class=

Respuesta :

The probability is the ratio of the area of the desired location to the area

of square.

Correct responses:

Part A: The probability is closer to 0

Part B: The probability is closer to 1

Which method is used to determine the probability?

The given parameter are;

Side length of the square = 10

Diameter of the circle = 2

Part A;

[tex]The \ probability \ of \ hitting \ the \ black \ circle, \ P(B) = \mathbf{\dfrac{Area \ of \ black \ circle}{Area \ of \ square}}[/tex]

Therefore;

[tex]P(B) = \mathbf{\dfrac{\pi \times \dfrac{2^2}{4} }{10^2}} = \dfrac{\pi}{100} \approx 0.0314[/tex]

Therefore

  • The probability of hitting the black circle is closer to 0

Part B;

The probability of hitting the white portion of the target, P(W), is given as follows;

Area of white portion = 100 - π

Which gives;

[tex]P(W) = \dfrac{100 - \pi}{100} \approx \mathbf{ 0.97}[/tex]

Therefore;

  • The probability of hitting the white portion of the target is closer to 1

Learn more about probabilities here:

https://brainly.com/question/7202696

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