Probability
https://en.wikipedia.org/wiki/Birthday_problem
https://en.wikipedia.org/wiki/Bertrand's_ballot_theorem
http://www-users.math.umn.edu/~reiner/Classes/Four_Proofs_of_Ballot_Theorem.pdf
https://math.stackexchange.com/questions/2641886/the-ballot-theorem
https://math.stackexchange.com/questions/2641886/the-ballot-theorem
Probability of meeting at bar
https://math.stackexchange.com/questions/462851/lunch-meeting-probability-for-two-person-to-meet-in-given-1-hour-slot-and-none-w
https://www.quora.com/A-and-B-decide-to-meet-between-1-pm-and-2-pm-on-a-given-day-Whoever-arrives-first-will-not-wait-for-the-other-for-more-than-15-minutes-Whats-the-probability-that-they-will-meet-that-day-and-why
https://math.stackexchange.com/questions/103015/chance-of-meeting-in-a-bar
https://math.stackexchange.com/questions/2498359/probability-of-meeting
https://ru.wikipedia.org/wiki/Задача_о_разорении_игрока
https://en.wikipedia.org/wiki/Gambler's_ruin
http://math.hashcode.ru/questions/114113/теория-вероятностей-задача-о-разорении-игрока
https://ru.wikipedia.org/wiki/Теорема_Байеса
https://en.wikipedia.org/wiki/Bayes'_theorem
https://en.wikipedia.org/wiki/Derangement
http://math.hashcode.ru/questions/118319/теория-вероятностей-задача-про-шляпы-и-гостей
http://www.cyberforum.ru/statistics/thread2120439.html
https://math.stackexchange.com/questions/266129/if-n-people-randomly-pick-one-hat-out-of-n-hats-why-is-the-probability-of-a-m
https://math.stackexchange.com/questions/922473/n-people-n-hats-probability-that-at-least-1-person-has-his-own-hat?rq=1
Linear algebra
Projection operator: $B^2 = B$.
Eigenvalues and eigenvectors, which can’t be zero?
Diagonizable
matrix is diagonalizable <=> the sum of the dimensions of its eigenspaces is equal to n
<=> if its minimal polynomial is a product of distinct linear factors
И еще:
matrix has n distinct eigenvalues => diagonalizable
https://koddo.github.io/cayman-wiki/math/exam_problems#1–se–ss–sl–recurrency
https://koddo.github.io/cayman-wiki/math/exam_problems#1–se-ss–sl–calculus
https://koddo.github.io/cayman-wiki/math/exam_problems#5–se–ss–sl–calculus-5
что такое оператор проекции?
https://efiminem.github.io/supershad/02-06-2018/ – 6