# Study Guide Test 4

Here is a study check list for test 4:

• Definition of Experiment, Sample Space, Event, and Outcome
• Definitions of the intersection, union and complement of events
• Given an events $latex E$ and $latex F$, you should be able to explain in words what the event $latex E\cup F$, $latex E\cap F$ and $latex E’$ (See Section 6.1 homework)
• Know when two events are mutually exclusive.
• Know the definition of a probability distribution. (See Section 6.2 for lots of examples.)
• Know how to compute probability of an event, given that all outcomes are equally likely (See section 6.3)
• Know the inclusion-exclusion rule for probability: $latex Pr(E\cup F) = Pr(E) + Pr(F) – Pr( E\cap F)$ (See Example 11 from Section 6.2.)
• Use inclusion-exclusion to fill in a Venn Diagram (For some good problems see number 33 and 35 from Section 6.2 and numbers 1-8 from Section 6.4.)
• Know the complement rule: $latex Pr(E) = 1-Pr(E’)$
• Use the complement rule to compute probability
• Good clue to look for: `at least 1’…. See for example, the birthday example (example 6 in section 6.3)
• Know how to compute conditional probability (See Section 6.4)
• Know the definition of independence: Two events are independent if $latex Pr(E\cap F) = Pr(E)\cdot Pr(F)$ (See Section 6.4, problems 33-45)