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Challenge: Solving the Task Using Geometric Probability | Basic Concepts of Probability Theory
Probability Theory Basics
course content

Зміст курсу

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.

Завдання

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 desktopПерейдіть на комп'ютер для реальної практикиПродовжуйте з того місця, де ви зупинились, використовуючи один з наведених нижче варіантів
Все було зрозуміло?

Як ми можемо покращити це?

Дякуємо за ваш відгук!

Секція 1. Розділ 4
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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.

Завдання

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 desktopПерейдіть на комп'ютер для реальної практикиПродовжуйте з того місця, де ви зупинились, використовуючи один з наведених нижче варіантів
Все було зрозуміло?

Як ми можемо покращити це?

Дякуємо за ваш відгук!

Секція 1. Розділ 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.

Завдання

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 desktopПерейдіть на комп'ютер для реальної практикиПродовжуйте з того місця, де ви зупинились, використовуючи один з наведених нижче варіантів
Все було зрозуміло?

Як ми можемо покращити це?

Дякуємо за ваш відгук!

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.

Завдання

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 desktopПерейдіть на комп'ютер для реальної практикиПродовжуйте з того місця, де ви зупинились, використовуючи один з наведених нижче варіантів
Секція 1. Розділ 4
Switch to desktopПерейдіть на комп'ютер для реальної практикиПродовжуйте з того місця, де ви зупинились, використовуючи один з наведених нижче варіантів
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