Notice: This page requires JavaScript to function properly.
Please enable JavaScript in your browser settings or update your browser.
Challenge: Solving the Task Using Geometric Probability | Basic Concepts of Probability Theory
Probability Theory Basics
course content

Course Content

Probability Theory Basics

Probability Theory Basics

1. Basic Concepts of Probability Theory
2. Probability of Complex Events
3. Commonly Used Discrete Distributions
4. Commonly Used Continuous Distributions
5. Covariance and Correlation

bookChallenge: Solving the Task Using Geometric Probability

Consider a square with a side length of 2 units centered at the origin (0, 0) in a Cartesian coordinate system.
What is the probability that a randomly chosen point within the square doesn't fall into a circle with a radius of 1 unit centered at the origin?
As we have a two-dimensional space of elementary events, we can calculate the ratio of the circle's area to the square's area. The ratio represents the probability of a point falling within the circle.

Task
test

Swipe to show code editor

Calculate probability as the ratio between the blue area and the whole area of the square.

Once you've completed this task, click the button below the code to check your solution.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

Section 1. Chapter 4
toggle bottom row

bookChallenge: Solving the Task Using Geometric Probability

Consider a square with a side length of 2 units centered at the origin (0, 0) in a Cartesian coordinate system.
What is the probability that a randomly chosen point within the square doesn't fall into a circle with a radius of 1 unit centered at the origin?
As we have a two-dimensional space of elementary events, we can calculate the ratio of the circle's area to the square's area. The ratio represents the probability of a point falling within the circle.

Task
test

Swipe to show code editor

Calculate probability as the ratio between the blue area and the whole area of the square.

Once you've completed this task, click the button below the code to check your solution.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

Section 1. Chapter 4
toggle bottom row

bookChallenge: Solving the Task Using Geometric Probability

Consider a square with a side length of 2 units centered at the origin (0, 0) in a Cartesian coordinate system.
What is the probability that a randomly chosen point within the square doesn't fall into a circle with a radius of 1 unit centered at the origin?
As we have a two-dimensional space of elementary events, we can calculate the ratio of the circle's area to the square's area. The ratio represents the probability of a point falling within the circle.

Task
test

Swipe to show code editor

Calculate probability as the ratio between the blue area and the whole area of the square.

Once you've completed this task, click the button below the code to check your solution.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

Consider a square with a side length of 2 units centered at the origin (0, 0) in a Cartesian coordinate system.
What is the probability that a randomly chosen point within the square doesn't fall into a circle with a radius of 1 unit centered at the origin?
As we have a two-dimensional space of elementary events, we can calculate the ratio of the circle's area to the square's area. The ratio represents the probability of a point falling within the circle.

Task
test

Swipe to show code editor

Calculate probability as the ratio between the blue area and the whole area of the square.

Once you've completed this task, click the button below the code to check your solution.

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Section 1. Chapter 4
Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
We're sorry to hear that something went wrong. What happened?
some-alt