Probability BSc

Homeworks [here]

Problem sets

Problem set 1. Combinatorics.

Problem set 2. Classical Probability.

Problem set 3. Geometric Probability.

Problem set 4. Bernoulli Scheme. Independence.

Problem set 5. Conditional Probability.

Problem set 6. Discrete Random Variables.

Problem set 7. Absolutely Continuous Distributions.

Problem set 8. Random Elements.

Problem set 9. Convolution Formula.

Problem set 10. Expected Value of discrete distributions.

Problem set 11. Expected value of continuous distributions.


Syllabus [Download]


Evaluation

After each seminar, I will upload a list indicating how many problems each student is expected to solve for the next class. Typically, this is 2–3 problems per student. Homework is checked only at the board during the seminars; there are no separate homework defenses or additional sessions outside seminar hours.

During each seminar, you may earn one participation point, depending on whether you present and explain your solution to the group. The total number of these points determines your class participation grade.

Throughout the semester, there will be two written tests in a closed-book format. Each test is worth up to 3 points.

You can also earn points for attendance:

  • 1 point if you miss no more than one class,
  • 0.5 points if you miss no more than two classes,
  • 0 points otherwise.

At the end of the course, there will be a final exam, worth up to 4 points. Notice that you need at least 1.5 points at the exam, otherwise you fail despite the points that you already have for other activities.

The final grade for the course is calculated as follows:

Test 1+Test 2(max 6)+Class participation(max 2)+Attendance(max 1)+Exam(max 4)2.\text{Test 1} + \text{Test 2} \; (\text{max } 6) + \text{Class participation} \; (\text{max } 2) + \text{Attendance} \; (\text{max } 1) + \text{Exam} \; (\text{max } 4) – 2.

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