Probability.
The logic
of chance.
Live one-to-one lessons. Experiment, collect data and discover patterns. From simple outcomes to conditional probability and advanced problems.
Each trial selects a random circle and a random point inside it. Landing in the green part is a success.
Adjust the green share in steps of 0.01. For example, 2.3 means two full circles and 30% of the third; the probability of success is 23%.
From “what are the odds?”
to an exact calculation
Study this subject on its own or alongside mathematics. We choose the difficulty and pace after meeting the student.
Grade 8–9 algebra is useful for advanced topics. If there are gaps, we first cover the necessary foundations.
See every possibility
Understand when order matters and how to count without omissions or duplicates.
- Enumeration and possibility trees
Build a visual map of possible outcomes.
- Permutations
Count ways to arrange objects.
- Arrangements and combinations
Distinguish selections with and without regard to order.
- Choosing a method
Explain why a particular solution method fits.
Organize an enumeration and deliberately choose a counting method.
Calculate the odds and test them
Start with events that can be imagined and simulated.
- Outcomes and events
Identify all possible and favorable outcomes.
- Classical probability
Choose an equally likely outcome model and calculate the probability.
- Relationships between events
Explore mutually exclusive and complementary events.
- Experimental frequency
Compare a series of experiments with theoretical probability.
Distinguish probability from observed frequency, build models and check answers.
New information changes the calculation
Notice how an extra condition changes the sample space.
- Conditional probability
Narrow the possible outcomes using new information.
- Event trees
Show a sequence of trials in a diagram.
- Total probability
Combine several scenarios into an overall result.
- Bayes’ formula
Explore the reverse question through clear examples.
Reason confidently about conditional problems and explain each calculation step.
Find meaning behind the numbers
Move from individual values to distributions and data characteristics.
- Tables and charts
Read information and compare samples.
- Random variables
Connect outcomes with numerical values.
- Expected value
Discuss the average result in a model.
- Variance and spread
Understand why an average alone may be insufficient.
Interpret data and use the characteristics of random variables to solve problems.
Test it experimentally.
Explain it mathematically.
Explore problem logic at an individual pace. Study probability independently, for school or as part of exam preparation.
01Ask a question02Build a model03Test experimentally04Explain the differencesDefine the event and discuss the expected result first.
Define possible outcomes and experimental conditions.
Run a series of trials and record the observed frequency.
Compare the model and the experiment. Draw conclusions that account for randomness.
A report after every lesson
What was covered, how your child worked, the homework and the tutor’s advice. Short by email, more detail in Telegram, in full with progress in your account and the Axioma app.
- Telegram
- Axioma app
- Browser notification
- Personal account
- VKsoon
- WhatsAppsoon
Behind every program —
a dedicated teacher
Meet our team. Each profile covers education, experience and specialisms. We match the teacher to the student’s goals.

Sabrina Ergeshova
3 years of tutoring — mathematics, grades 5–11
Education and experience
Margarita Obukhova
OGE examiner — mathematics and computer science
Education and experience
Maxim Shabunin
Teacher and course author — MGIMO Junior
Education and experience
Angelina Magerramova
5 years of tutoring — mathematics, grades 5–9
Education and experienceFirst, your format.
Then, your exact price.
Choose the grade, lesson length and individual or small-group format. Compare single lessons, monthly plans and lesson packs.
Do I need to study all of mathematics first?
No. We assess the starting level in class. For difficult topics we strengthen fractions, percentages, powers and the required algebra skills.
Will the course help with OGE and EGE?
Yes, relevant topics can be included in the exam plan. Complete mathematics exam preparation also covers the other sections.
Which grade should students start in?
We select materials based on knowledge and interest. Advanced topics usually need grade 8–9 skills; an introduction can begin earlier.
Is there practice between lessons?
Yes, homework includes independent reasoning and a required review of mistakes.
A little more
curiosity
Let’s start with
what interests you.
Tell us about the student and their goals. We will help choose a program and teacher.
Find a program