Flashcards : Fundamentals of Probability and Independence — 14 cartes

Toutes les cartes

1Question

Probability — purpose?

Réponse

Quantify likelihood of outcomes.

2Question

Contingency table — frequencies?

Réponse

Counts or proportions of characteristics.

3Question

Experiments and events — vocab?

Réponse

Experiments produce outcomes; events are outcome sets.

4Question

Conditional probability — definition?

Réponse

Probability of A given B: P(A∩B)/P(B).

5Question

Weighted trees — function?

Réponse

Represent sequential choices with probabilities.

6Question

Total probability — formula?

Réponse

P(A)=P(A∩B)+P(A∩B̄).

7Question

Independence — criterion?

Réponse

P(A∩B)=P(A)×P(B).

8Question

Experiment — what?

Réponse

Procedure with unpredictable outcomes.

9Question

Event — what?

Réponse

Subset of the sample space.

10Question

Conditional probability — interpretation?

Réponse

Probability of A restricted to B's universe.

11Question

Path probability — rule?

Réponse

Product of branch probabilities along the path.

12Question

Tree inversion — purpose?

Réponse

Rearrange tree to find missing probabilities.

13Question

Product rule — for independent events?

Réponse

P(A∩B)=P(A)×P(B).

14Question

Successive experiments — independence?

Réponse

Results do not affect each other.

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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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