Зміст курсу

Теорія ймовірностей

1. Ознайомемося з основними правилами

Випадкова змінна Схема Бернуллі 1/2 Схема Бернуллі 2/2 Біноміальна ймовірність 1/2 Біноміальна ймовірність 2/2

2. Ймовірності декількох подій

Додавання ймовірностей Обчислення зв'язаних ймовірностей Виклик Перемножуємо ймовірності Залежні ймовірності Закон повної ймовірності Теорема Байєса Виклик

3. Проводимо захоплюючі експерименти

Перший експеримент Другий експеримент Третій експеримент Поєднуйте свої знання

4. Дискретні розподіли

Дискретний рівномірний розподіл Обчислити захоплюючу ймовірність Розподіл Бернуллі Біноміальний розподіл Виклик Пуассонівський розподіл Виклик

5. Нормальний розподіл

Нормальний розподіл Виклик 1 Виклик 2

Виклик

Завдання

Let's imagine one situation that may be real for you. You have a tasty basket with:

5 cookies with a cherry jam,
5 chocolate cookies,
10 chocolate candies,
5 chocolate bars,
15 biscuits,
10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

The first one: cookies (ones with cherry jam and chocolate ones).
The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

chocolate

Follow the algorithm:

Calculate the probability of pulling out a cookie.
Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
Calculate the probability of pulling out a chocolate cookie.
Calculate the resulting probability.

Завдання

Let's imagine one situation that may be real for you. You have a tasty basket with:

5 cookies with a cherry jam,
5 chocolate cookies,
10 chocolate candies,
5 chocolate bars,
15 biscuits,
10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

The first one: cookies (ones with cherry jam and chocolate ones).
The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

chocolate

Follow the algorithm:

Calculate the probability of pulling out a cookie.
Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
Calculate the probability of pulling out a chocolate cookie.
Calculate the resulting probability.

Все було зрозуміло?

Секція 2. Розділ 3

Виклик

Завдання

Let's imagine one situation that may be real for you. You have a tasty basket with:

5 cookies with a cherry jam,
5 chocolate cookies,
10 chocolate candies,
5 chocolate bars,
15 biscuits,
10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

The first one: cookies (ones with cherry jam and chocolate ones).
The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

chocolate

Follow the algorithm:

Calculate the probability of pulling out a cookie.
Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
Calculate the probability of pulling out a chocolate cookie.
Calculate the resulting probability.

Завдання

Let's imagine one situation that may be real for you. You have a tasty basket with:

5 cookies with a cherry jam,
5 chocolate cookies,
10 chocolate candies,
5 chocolate bars,
15 biscuits,
10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

The first one: cookies (ones with cherry jam and chocolate ones).
The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

chocolate

Follow the algorithm:

Calculate the probability of pulling out a cookie.
Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
Calculate the probability of pulling out a chocolate cookie.
Calculate the resulting probability.

Все було зрозуміло?

Секція 2. Розділ 3

Виклик

Завдання

Let's imagine one situation that may be real for you. You have a tasty basket with:

5 cookies with a cherry jam,
5 chocolate cookies,
10 chocolate candies,
5 chocolate bars,
15 biscuits,
10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

The first one: cookies (ones with cherry jam and chocolate ones).
The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

chocolate

Follow the algorithm:

Calculate the probability of pulling out a cookie.
Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
Calculate the probability of pulling out a chocolate cookie.
Calculate the resulting probability.

Завдання

Let's imagine one situation that may be real for you. You have a tasty basket with:

5 cookies with a cherry jam,
5 chocolate cookies,
10 chocolate candies,
5 chocolate bars,
15 biscuits,
10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

The first one: cookies (ones with cherry jam and chocolate ones).
The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

chocolate

Follow the algorithm:

Calculate the probability of pulling out a cookie.
Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
Calculate the probability of pulling out a chocolate cookie.
Calculate the resulting probability.

Все було зрозуміло?

Завдання

Let's imagine one situation that may be real for you. You have a tasty basket with:

5 cookies with a cherry jam,
5 chocolate cookies,
10 chocolate candies,
5 chocolate bars,
15 biscuits,
10 bottles of lemonade.

Calculate the probability that you will randomly pull out an item that includes chocolate, or a cookie.

We can divide our food into influential groups:

The first one: cookies (ones with cherry jam and chocolate ones).
The second one: is chocolate items (chocolate bars, candies, and chocolate cookies).

chocolate

Follow the algorithm:

Calculate the probability of pulling out a cookie.
Calculate the probability of pulling out item that includes chocolate (chocolate sweet).
Calculate the probability of pulling out a chocolate cookie.
Calculate the resulting probability.

Секція 2. Розділ 3

Перейдіть на комп'ютер для реальної практикиПродовжуйте з того місця, де ви зупинились, використовуючи один з наведених нижче варіантів