Probability Theory 2|Spring 2026

Homepage of the lecture•lecture
My office hours•office hours

Time and place of the tutorial • Tuesday 12:15-13:45•H405A

Short recap of the theory

• Convolutions
• Generating functions
• Branching process and SRW
• Concentration inequalities
• Types of convergences
• Borel-Cantelli lemmas and SLLN
• Kolmogorov's 0-1 Law and LIL
• Characteristic functions
• Weak convergence
• Method of characteristic functions and the CLT

Exercise sheets

• 1st exercise sheet•in-class exercises
• 2nd exercise sheet•in-class exercises
• 3rd exercise sheet•in-class exercises
• 4th exercise sheet•in-class exercises
• 5th exercise sheet•in-class exercises
• 6th exercise sheet•in-class exercises
• 7th exercise sheet•in-class exercises
• 8th exercise sheet•in-class exercises
• 9th exercise sheet•in-class exercises
• 10th exercise sheet•in-class exercises
• 11th exercise sheet•in-class exercises
• 12th exercise sheet•in-class exercises
• 13th exercise sheet•in-class exercises
• 14th exercise sheet•in-class exercises

Hints for the homework•HW hints
Homework is always due by the next practice session. Please bring a hard copy of your handwritten work.

Midterms

• 1st midterm•March 31 at 12:15•H405A•solutions
• 1st midterm retake•April 17 at 14:15•H601•solutions
• 2nd midterm•May 26 at 12:15•H405A•solutions
• 2nd midterm retake•June 1 at 10:00•K275•solutions
• Midterm re-retakes•June 4 at 10:00•K221

Consultations

• March 26•16:15•H601
• May 21•16:15•H601
• June 8•16:00•H306
• June 15•16:00•H306
• June 22•16:00•H306
• June 29•16:00•H306

Sample midterms and solutions

• 1st midterm•solutions
• 2nd midterm•solutions

Sample exam•sample exam