Syllabus:
- << the syllabus will go here >>
Study guides:
- << study guides will go here >>
Test solutions:
- << test solutions will go here >>
My notes:
These are the notes that I'm using to teach the class in case you want to look ahead.
The lecture notes for each day of class will be in the calendar below.
- Topic 1 - Sets and Probability Spaces
- Topic 2 - Counting
- Topic 3 - Conditional Probability
- Topic 4 - Random Variables
- Topic 5 - Binomial Random Variables
- Topic 6 - Variance
- Topic 7 - Normal Approximation to Binomial Random Variables
- Topic 8 - Continuous Random Variables
Homework:
| HW 1 | |
| HW 2 | |
| HW 3 | |
| HW 4 | |
| HW 5 | |
| HW 6 | |
| HW 7 | |
| HW 8 |
Schedule and lecture notes:
| week | Monday | Wednesday |
| 1 | 1/22 - lecture notes | |
| 2 | 1/27 - lecture notes | 1/29 - lecture notes |
| 3 | 2/3 - lecture notes | 2/5 - lecture notes |
| 4 | 2/10 - lecture notes | 2/12 - lecture notes |
| 5 | 2/17 - lecture notes | 2/19 - lecture notes |
| 6 | 2/24 - lecture notes | 2/26 - lecture notes |
| 7 | 3/3 - lecture notes | 3/5- lecture notes |
| 8 | 3/10 - lecture notes | 3/12 - lecture notes |
| 9 | 3/17 - lecture notes | 3/19 - TEST 1 |
| 10 | 3/24 - lecture notes | 3/26 - lecture notes |
| SPRING BREAK | 3/31 - HOLIDAY | 4/2 - HOLIDAY |
| 11 | 4/7 - lecture notes | 4/9 - lecture notes |
| 12 | 4/14 - lecture notes | 4/16 - lecture notes |
| 13 | 4/21 - lecture notes | 4/23- no class |
| 14 | 4/28 - lecture notes | 4/30 - TEST 2 |
| 15 | 5/5 - lecture notes | 5/7 - lecture notes |
| Finals week | 5/12 - FINAL EXAM 12:00 pm - 2:00 pm |
Miscellaneous links:
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.
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 the Numberphile video on the Monte Hall problem.
- Here is a video of the Monte Hall Problem appearing in the movie 21.
The St. Petersburg Paradox:
- 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.
Other lotteries:
- Here is a link that gives information about many of the lotteries around the world
- Here is information on the largest lottery jackpots ever recorded.
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:
Keno:
- Here is the wiki page for Keno
- Here is a page that explains Keno payouts
- Here is the hypergeometric distribution wiki page
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:
Generating Random Numbers:
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 Birthday problem.