# MATH 4740 - Theory of Probability

Syllabus:

Study guides:

Test solutions:

Past lecture notes:

Homework:

 HW 1 Do these problems. Here are the solutions.(Save problems 9 and 10 until you have done HW 2) HW 2 Do these problems. Here are the solutions.   Also do problems 15, 18, 42 from here.   Also do these problems.   Here are the solutions. HW 3 Do these problems. Here are the solutions. (Here's another way to do problem 9.)   Also do these problems.   Here are the solutions. HW 4 Do these problems. Here are the solutions.   Also do this problem.   Here is the solution. HW 5 Do these problems. Here are the solutions. HW 6 Do these problems. Here are the solutions.Note: The solutions above have a typo on problem 3(c).   A corrected version is here. HW 7 Do these problems. Here are the solutions.   Do problem 23 from here.   Do problem 4 from here (problems and solutions near the end of the pdf starting on page 15). HW 8 Do these problems.    Here are the solutions.

Schedule and lecture notes:

 Week Monday Wednesday 1 8/21- no class 8/23 - lecture notes 2 8/28 - lecture notes 8/30 - lecture notes 3 9/4 - HOLIDAY 9/6 - lecture notes 4 9/11 - lecture notes 9/13 - lecture notes 5 9/18 - lecture notes 9/20 - lecture notes 6 9/25 - lecture notes 9/27- lecture notes 7 10/2 - lecture notes 10/4 - lecture notes 8 10/9- TEST 1 10/11 - lecture notes 9 10/16 - lecture notes 10/18 - lecture notes 10 10/23 - lecture notes 10/25 - lecture notes 11 10/30 - lecture notes 11/1 - lecture notes 12 11/6 - lecture notes 11/8 - lecture notes 13 11/13 - TEST 2 11/15 - No class today 11/20 - HOLDAY 11/22 - HOLIDAY 14 11/27 - lecture notes 11/29 - lecture notes 15 12/4 - lecture notes 12/6 - lecture notes Finals week 12/11 -  Final exam 2:30 - 4:30

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.   Here is another table with both positive and negative values.

Deck of cards:

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

• 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 the Numberphile video on the Monte Hall problem.
• Here is a video of the Monte Hall Problem appearing in the movie 21.

• Here is the wiki page for the St. Petersburg paradox.
• I wrote a program for this.   Here is a pdf print out of it.

CA SuperLotto Plus:

• Here is the main website for CA SuperLotto Plus.
• Here are the past winning numbers.
• Here is a video showing how the numbers are picked.

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 (around 3:00 in he talks about the different bets one can make).

Craps:

• Here is the wiki page for Craps.
• Here is a video explaining how to play Craps.
• Here is a handout of the craps table

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.

Generating Random Numbers: