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Learn/Probability in depth
LearnProbability in depth

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B Basic

  • Counting without double counting10m
  • The discrete distributions that keep coming backPro11m
  • Continuous and geometric probabilityPro10m

A Advanced

  • Order statistics and symmetryPro11m
  • Random walks and the gambler's ruinPro12m
  • Markov chains and first step analysisPro12m
  • FlashcardsPro0/17
  • Basic quizPro80% passes
  • Advanced quizPro80% passes
  • Terms

Probability in depth

0
of 6 lessons
0
of 17 cards
FlashcardsStart the first lesson

Counting, the standard distributions, geometric probability, order statistics, random walks, and Markov chains. The second and third question in a probability round come from here.

BBasic3 lessons

  1. 1Counting without double countingMost wrong probability answers are wrong counts. Four tools cover almost every interview: ordered or not, repeated letters, stars and bars, and inclusion and exclusion.10 min
  2. 2The discrete distributions that keep coming backProBinomial, geometric, Poisson, and hypergeometric cover most counting questions. Know each one's mean and variance cold so you can quote a fair value and a width in one breath.11 min
  3. 3Continuous and geometric probabilityProWith uniform random numbers, probability is area. Draw the square, shade the region, and most questions are done in a picture.10 min
  4. QBasic quizPro10 questions, 80% passes

AAdvanced3 lessons

  1. 4Order statistics and symmetryProThe maximum, the minimum, and the k-th smallest of random draws have clean answers, and symmetry solves card questions that look like heavy counting.11 min
  2. 5Random walks and the gambler's ruinProA walk that steps up or down at random is the model behind every bankroll question. Two formulas and one trick cover the interview versions.12 min
  3. 6Markov chains and first step analysisProCoin patterns, board games, and absorbing states all reduce to the same move: name the states, write one equation per state, solve.12 min
  4. QAdvanced quizPro10 questions, 80% passes