## Individual Research Projects Section13.1

### Project 13.1

Devise a fair scheme for eliminating coins in this country.

Here is an alternative question:
Michael Rossides has come up with a scheme for eliminating coins. This scheme involves probability and the fact that most cash registers today … See the whole entry

## Video Links 13-1

Videos:
This is a general introduction to probability.  (time: 9:25)

Probability – Part 1  (time: 10:29)  This is the first of 8 videos on this topic.  If you are interested in this one, click the links at the right on … See the whole entry

## Reference Topics 13-6

Here is a statement of the binomial theorem (with links):
http://mathworld.wolfram.com/BinomialTheorem.html

This link gives some examples of the binomial theorem:
http://www.purplemath.com/modules/binomial.htm

This site provides a summary of the binomial distribution.
http://www.stat.yale.edu/Courses/1997-98/101/binom.htm

This site calculates the binomial probabilities.
http://stattrek.com/online-calculator/binomial.aspxSee the whole entry

## Homework Hints 13-5

### Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 … See the whole entry

## Homework Hints 13-4

### Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 … See the whole entry

## Homework Hints 13-1

### Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 … See the whole entry

## 13.5 Outline

1. Probabilities with a partition of a sample space
1. partition of a set
2. probability of a partitioned event
2. A posteriori probabilities
1. a priori probabilities
2. a posteriori probabilities
3. Bayes’ theorem

## 13.5 Essential Ideas

Partition of a set:  A set … See the whole entry