Probability — purpose?
Quantify likelihood of outcomes.
Contingency table — frequencies?
Counts or proportions of characteristics.
Experiments and events — vocab?
Experiments produce outcomes; events are outcome sets.
Conditional probability — definition?
Probability of A given B: P(A∩B)/P(B).
Weighted trees — function?
Represent sequential choices with probabilities.
Total probability — formula?
P(A)=P(A∩B)+P(A∩B̄).
Independence — criterion?
P(A∩B)=P(A)×P(B).
Experiment — what?
Procedure with unpredictable outcomes.
Event — what?
Subset of the sample space.
Conditional probability — interpretation?
Probability of A restricted to B's universe.
Path probability — rule?
Product of branch probabilities along the path.
Tree inversion — purpose?
Rearrange tree to find missing probabilities.
Product rule — for independent events?
P(A∩B)=P(A)×P(B).
Successive experiments — independence?
Results do not affect each other.
Answer 14 questions on Fundamentals of Probability and Independence.
1. What is the main purpose of probability in studying a random experiment?
2. What does a conditional probability calculation do to the reference universe?
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