Sample Space and Theoretical Probability – Notes - ISM

Sample Space and Theoretical Probability – Notes and Practice
Sample space is the set of all possible outcomes of an experiment.
There are several ways of describing a sample space:

List
o The sample space for rolling one die is: {1, 2, 3, 4, 5, 6}

Grid
o The sample space for rolling two dice is:

Tree Diagram
o The sample space for flipping two coins is:
o Tree diagrams can be used when more than two operations are involved:
Theoretical Probability is the chance of an event occurring in any trial of an experiment.
Theoretical probability is represented by a percentage from 0% to 100%, or a fraction or
decimal from 0 to 1, i.e.

Complementary events are useful when working with theoretical probability:
Practice Problems
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