Contenido del Curso

Probability Theory

1. Learn Basic Rules

Random Variable Bernoulli Trial 1/2 Bernoulli Trial 2/2 Binomial Probability 1/2 Binomial probability 2/2

2. Probabilities of Several Events

Add Probabilities Calculate Connected Probabilities Challenge Multiply probabilities Dependent probabilities Law of Total Probability Bayes Theorem Challenge

3. Conducting Fascinating Experiments

The First Experiment The Second Experiment The Third Experiment Combine Your Knowledge

4. Discrete Distributions

Discrete Uniform Distribution Calculate Fascinating Probability Bernoulli Distribution Binomial Distribution Challenge Poisson Distribution Challenge

5. Normal Distribution

Normal Distribution Challenge 1 Сhallenge 2

Challenge

Tarea

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.

Tarea

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.

¿Todo estuvo claro?

Sección 2. Capítulo 3

Challenge

Tarea

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.

Tarea

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.

¿Todo estuvo claro?

Sección 2. Capítulo 3

Challenge

Tarea

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.

Tarea

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.

¿Todo estuvo claro?

Tarea

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.

Sección 2. Capítulo 3

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