MATH 4740 - Theory of Probability

Class information:

  • The syllabus is here.

Test solutions and practice tests:

Homework:

Miscellaneous links:

Proofs:

  • A proof about constructing finite and countable probability spaces.

Deck of cards:

  • Here is what is in a standard deck of 52 cards.

Standard Normal Distribution:

  • Here is a table of the values for the cumulative distribution function of the standard normal distribution.  These will be used to approximated binomial random variables.

Birthday Paradox:

  • Here is a handout that shows the birthday paradox calculations from class.

The Monte Hall Problem:

  • Here is the wiki page for the Monte Hall Problem.
  • Here is a video of the Monte Hall Problem appearing in the movie 21.

Some theorems / problems / paradoxes / miscellaneous links:

  • Here is the wiki page on Probability Theory.
  • Here is the wiki page for the De Moivre-Laplace theorem.
  • Here is the wiki page for the Law of Large Numbers.
  • Here is the wiki page for the Central Limit Theorem.
  • Here is the wiki page for Random Walks.
  • Here is the wiki page for the St. Petersberg paradox.
  • Here is the wiki page for the Birthday problem.

Roulette:

  • Here is the wiki page on Roulette.
  • Here is a picture of the American Roulette wheel and the European Roulette wheel.
  • This picture gives the different bets in American Roulette and the casino payouts.
  • Here is a video teaching you how to play Roulette.

Craps:

  • Here is the wiki page for Craps.
  • Here is a video explaining how to play Craps.

Poker:

  • Here is the wiki page for Poker.
  • Here are the 5-card Poker hands.

Chuck-a-luck:

  • Here is the wiki page for Chuck-a-luck.
  • Here is a Vietnamese version of Chuck-a-luck. 
  • Here is a British version of Chuck-a-luck.

Blackjack:

  • Here is the wiki page for Blackjack.
  • Here is a video of Austin Powers playing Blackjack.