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November 5, 2002

Fourth Exam Review. The fourth exam is Wednesday, December 5, 2002.

You may use a calculator on the exam. It would be very helpful to have a calculator that has permutations and combinations and you will need to know how to use it. You will not have any notes or formulas available to you. Here is a summary of topics covered in the fourth chapter (sections 4.1 to 4.3). There may be other topics not listed here. You are responsible for all material covered in class and on homework. If you can do all the problems from these sections in chapter summary, you will do very well on the test.

• Section 4.1 You need to understand the multiplication rule, permutations and combinations. When you use each. You should understand some Venn diagrams and counting principles like addition and complementarity.

• Section 4.2 You need to understand what a sample space is and be able to list all the outcomes in the sample space for a simple example. You should understand what a random experiment is. You need to remember that the probability of an event is the number of ways that an event can occur divided by the total number of outcomes. You should understand how the graphical problems work (like the dartboard). You should be able to use the complementarity principle. You should know that the probability is in $[0,1]$ and the sum of all the outcomes adds up to one.

• Section 4.3 You should know what independence means and how to compute conditional probabilities. You should be able to use the total probability formula (as in problems 16 and 18). You should be able to use the fact that events are independent to compute the probability of both of them happening. You should be able to recognize when an event is independent and when it isn't.

The exam is not yet completed, but I anticipate the test looking very similar to the homework problems, perhaps, with some true/false, multiple choice or matching questions as well.

As I've stated above, being able to do the homework from these sections will prepare you quite well for the exam.