## Individual Research Projects Section 13.4

### Project 13.5

Do some research on Keno probabilities. Write a paper on playing Keno.

Reference:
Karl J. Smith, “Keno Expectation,” Two-Year College Mathematics Journal, Vol. 3, No. 2,Fall 1972.

### Project 13.6

Consider the following classroom activity. Suppose the … See the whole entry

## Individual Research Projects Section 13.2

### Project 13.3

The questions in this problem are from a study by MacCrimmon, Stanbury, and Wehrung, “Real Money Lotteries: A Study of Ideal Risk, Context Effects, and Simple Processes,” in Cognitive Processes in Choice and Decision Behavior, edited by Thomas … See the whole entry

## Reference Topic 13-3

This site (which may too advanced) discusses odds for real world games
http://wizardofodds.com/

This site discusses the odds of gambling:
http://www.pbs.org/wgbh/pages/frontline/shows/gamble/odds/

This site discusses conditional probability and then goes beyond the text’s discussion and discusses Bayes’ Rule.
http://www.stattrek.com/probability/bayes-theorem.aspxSee the whole entry

## 13.3 Outline

1. Complementary probabilities
1. symbols
2. property of complements
2. Odds
1. in favor
2. against
3. find odds, given the probability
4. find probability, given the odds
3. Conditional probability
1. definition
2. formula
3. procedure for using tree diagrams

## 13.3 Essential Ideas

PROPERTY OF COMPLEMENTS: