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Laabri

Geometric Probability

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Last updated 2 months ago
21 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

You will find each white and shaded area separately in each diagram. Then you will be asked to find the probability of hitting certain areas with a dart. All measurements are in centimeters. You must show your work or explain your answer to receive full credit.

Use pi (π) on your calculator, NOT a rounded 3.14.

You will find each white and shaded area separately in each diagram. Then you will be asked to find the probability of hitting certain areas with a dart. All measurements are in centimeters. You must show your work or explain your answer to receive full credit.

Use pi (π) on your calculator, NOT a rounded 3.14.

Check your work using the answers in google classroom. Then complete the following exit ticket questions.

1

Use what you know about calculating area to find the geometric probabilities.

Label area calculations in units squared. For example, 24 in².

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1.

What is the area of the big white rectangle?

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2.

What is the area of the medium spotted rectangle?

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3.

What is the area of the small spotted rectangle?

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5.

Find the area of the white rectangle.

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6.

Find the area of the shaded triangle.

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7.

You throw a dart, what are the chances you hit the shaded triangle? Show your work, then state your answer as a reduced fraction.

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9.

Find the area of the shaded circle. Use the pi button on your calculator and round your answer to the nearest hundredth. Show your work.

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10.

Find the area of the white rectangle.

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11.

You throw a dart, what are the chances it hits the circle? State your answer as a percent rounded to the nearest whole number. Show your work.

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The radius of the small circle is 2 cm. The radius of the large circle is 9 cm.

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13.

What is the total area of the square? Show your work.

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14.

What is the total area of the small striped bullseye circle? Round your answer to the nearest hundredth. Show your work.

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15.

What is the total area of the full dotted circle? (ignore the striped circle in the middle) Round your answer to the nearest hundredth. Show your work.

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EXTENSION

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18.

EXTENISON: Find the area of the total green region. Show your work or explain your answer.

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19.

EXTENSION: What are the chances of hitting region 3?

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20.

EXTENSION: What are the chances of hitting region 1?

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21.

Rate your understanding on calculating geometric probabilities.

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4.

You throw a dart, what are the chances you hit a spotted area? Show your work, then state your answer as a reduced fraction.

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8.

You throw a dart, what are the chances you hit any white area of the rectangle? Show your work, then state your answer as a reduced fraction.

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12.

You throw a dart, what are the chances it DOES NOT hit the circle? State your answer as a percent rounded to the nearest whole number. Show your work.

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16.

You throw a dart, what are your chances of hitting the bullseye? State your answer rounded to the nearest whole percent. Show your work.

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17.

You throw a dart, what are your chances of hitting the dotted circle region? Write your answer as a percent rounded to a whole number. Show your work.