MATH 1711: WEEK 5

Topics for this week are:

• Conditional Probability
• Independence
• Tree Diagrams and Bayes' Theorem

Objectives for this week:

• Understand the differences between independent and mutually exclusive events
• Use conditional probability and independence to help find probabilities
• Compute sample spaces and probabilities using a tree diagram
• Find conditional probabilities using tree diagrams and Bayes' theorem

Text coverage:     Sections 6.5 - 6.7 of Goldstein, Schneider and Siegel.

Online resources:

• Week 5 Formula Sheet
• Week 5 Practice Problems
• Online notes
  • Notes on conditional probability and independence. We explore the different methods of finding the probability of an intersection, and learn to interpret conditional vs. independent probabilities.
  • Notes on counting problems using tree diagrams.  (This page was also referenced for Venn Diagrams in the first week).
  • Some examples dealing with conditional probabilities and Bayes' Theorem.  Here, we see how to use a tree diagram to find conditional probabilities.

---

Last Modified: . School of Mathematics, Georgia Institute of Technology.