Roman Vershynin

S4:E7 Properties of variance

S4:E6 What is variance?

S4:E5 Expected number of cycles in a random permutation

S4:E4 Group testing

S4:E3 Linearity of expectation. St. Petersburg paradox

S4:E2 What is expectation?

S4:E1 What is a random variable?

S3:E10 Secretary problem

S3:E7 Problems on independence: airplane failure, network connectivity

S3:E9 Random walk and gambler's ruin

S3:E8 Problem of points

S3:E6 Finding your birthmate with 50-50 chance

S3:E5 What is independence?

S3:E4 Monty Hall problem

S3:E3 Bayes Formula

S3:E2 The law of total probability

S3:E1 Conditional probability

S2:E5 Inclusion-exclusion principle

S2:E4 The probability to detect fake news

S2:E3 What is probability?

S2:E2 Operations on events: union, intersection, and complement

S2:E1 What is an event?

S1:E7 Binomial theorem and Pascal's triangle

S1:S6 What is the probability to win a lottery?

S1:E5 How many solutions does an equation have?

S1:E4 Binomial coefficients

S1:E3 Factorials, befriended

S1:E2 Permutations and factorials

S1:E1 Do you have a birthmate?