Chapter 15: Probability Rules! Flashcards Preview

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Flashcards in Chapter 15: Probability Rules! Deck (7)
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1
Q

Define ‘Conditional probability’.

A

P(B | A) = P(A AND B) / P(A)

P(B | A) is read “the probability of B GIVEN A”.

2
Q

Define ‘Independence’.

A

Events A and B are independent when P(B | A) = P(B | A^C) = P(B).

3
Q

Define ‘Independence Assumption’.

A

We often require events to be independent. (So you should think about whether this assumption is reasonable.)

4
Q

Define ‘General multiplication rule’.

A

For any two events, A and B, the probability of A AND B is P(A AND B) =P(A) x P(B | A).

5
Q

Define ‘Multiplication rule’.

A

If A and B are independent events, then the probability of A AND B is P(A AND B) = P(A) x P(B). This is easily extended to any number of independent events.

6
Q

Define ‘Tree diagram’.

A

A display of conditional events or probabilities that is helpful in thinking through conditioning.

7
Q

What should you use to solve problems involving probability? To reverse the conditioning?

A
  • tables, Venn diagrams, and tree diagrams

- tree diagrams and Bayes’ Rule