STAT 100 Lecture Notes - Lecture 8: Mutual Exclusivity, Sample Space

• School: University of Maryland
• Department: Statistics and Probability
• Course: STAT 100
• Professor: Cremins

Document Summary

We use the 3 counting rules to determine event probabilities when the outcomes of the experiment are equally likely. We can use long-run relative frequency as our estimate of the probability of an event. It is based on observation rather than theorizing. An experiment is a repeatable process where the results are uncertain. The set of all possible outcomes is the sample space. The number of outcomes can be nite or in nite. Experiment roll a fair 6 sided die. One of the outcomes roll a 4 . Simple event example: e= roll a two, e consists of outcomes e = roll a two . Compound event example: one of the events e = roll an even number, e consists of the outcomes e2= roll a 2, e4 = roll a 4, and e6 = roll a 6 (2, 4, 6)