Geometric Probability

Last updated about 8 hours ago

21 questions

Note from the author:

Instructions

Geometric Probability

Last updated about 8 hours ago

21 questions

Note from the author:

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.  

Instructions

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.  

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

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

What is the area of the big white rectangle?

What is the area of the medium spotted rectangle?

Find the area of the white rectangle.

Find the area of the shaded triangle.

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

Find the area of the white rectangle.

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

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

What is the total area of the square?

EXTENSION

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

EXTENSION: What are the chances of hitting region 3?

Rate your understanding on calculating geometric probabilities.

1-Beginning

2-Approaching

3-Mastery

4-Advanced (Completed the extension problems)

Geometric Probability

Geometric Probability

What is the area of the big white rectangle?

What is the area of the medium spotted rectangle?

Find the area of the white rectangle.

Find the area of the shaded triangle.

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

Find the area of the white rectangle.

What is the total area of the square?

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

EXTENSION: What are the chances of hitting region 3?

Rate your understanding on calculating geometric probabilities.

What is the area of the big white rectangle?

What is the area of the medium spotted rectangle?

What is the area of the small spotted rectangle?

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

Find the area of the white rectangle.

Find the area of the shaded triangle.

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

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

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

Find the area of the white rectangle.

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

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.

What is the total area of the square?

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

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

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

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.

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

EXTENSION: What are the chances of hitting region 3?

EXTENSION: What are the chances of hitting region 1?

Rate your understanding on calculating geometric probabilities.

What is the area of the small spotted rectangle?

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

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

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

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

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.

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

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

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.

EXTENSION: What are the chances of hitting region 1?