Search

14 Feb 2017: Show that P(A) = 0. 1. 7. A committee of size r is chosen at random from a set of n people. ... Calculate the probability thatm given people will all be on the committee (a) directly, (b) using the inclusion-exclusion formula.Deduce that (. nmr m. )=.

23 May 2017: 1988:6:9E (maths tripos)The Master asked 2n 1 people and got 2n 1 different answers. ... And so on. The people who shook the Master’shand were 2n, 2n 1, 2n 2.

20 Jan 2017: 9. A random sample of 59 people from the planet Krypton yielded the results below.

17 Mar 2017: Applied Probability. Nathanaël Berestycki and Perla Sousi. March 6, 2017. Contents. 1 Basic aspects of continuous time Markov chains 3. 1.1 Markov property. 3. 1.2 Regular jump chain. 4. 1.3 Holding times. 6. 1.4 Poisson process. 6. 1.5 Birth

28 Dec 2017: Items 24, 25 and 27 were written at the invitation of people compiling those volumes.

11 Oct 2017: While we are about it, notice also that people usethe word ‘word’ almost interchangeably with ‘string’. ... A word of warning. Many people confuse and , and there is a parallelconfusion that occurs here.

25 Oct 2017: ii) leads people to think that since an effective proof of (x)Wombat(x)tells us where to find the wombat, whereas an ineffective proof does not, thetwo proofs must surely

7 Nov 2017: There is acertain amount of abuse of notation going on: people often write ‘H’ instead of(H,).). ... Observe also that H (12)H is empty. People sometimes use the expression ‘disjoint union’ for this phenomenon, sobeware!

13 Jun 2017: Set Theory and Logic at Part II in 2016/7. Thomas Forster. June 13, 2017. Contents. 1 Lecture 1: First of Five Lectures on Ordinals and Cardinals 51.1 Ordinals. 51.2 Wellfoundedness. 6. 2 Lecture 2 9. 3 Lecture 3 11. 4 Lecture 4 13. 5 Lecture 5: