Probability Foundations flashcards

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What does “Sample Spaces and Counting” mean?Sample Spaces: The set of possible elementary outcomes of a chance process.
What important condition applies to sample spaces and counting?Sample Spaces: Outcome counting requires checking likelihood assumptions before computing probability.
What does “Equally Likely Probability” mean?Sample Spaces: A numerical measure of how likely an event is.
What important condition applies to equally likely probability?Sample Spaces: Favorable-over-total requires equally likely outcomes.
What does “Union and Overlap” mean?Probability Rules: An event containing outcomes in either of two events, including their overlap.
What important condition applies to union and overlap?Probability Rules: The word “or” in a union includes both events occurring.
What does “Complement Events” mean?Probability Rules: The event consisting of outcomes outside a specified event.
What important condition applies to complement events?Probability Rules: Include every alternative in the stated sample space.
What does “Independent Events” mean?Independence: Events whose occurrence does not change each other’s probability.
What important condition applies to independent events?Independence: Mutual exclusivity and independence are different relationships.
What does “Dependent Draws” mean?Independence: A chance sequence whose later probabilities depend on earlier outcomes.
What important condition applies to dependent draws?Independence: Without-replacement draws generally are dependent.