Ch. 3 Conditional probability and independence Flashcards Preview

Probability > Ch. 3 Conditional probability and independence > Flashcards

Flashcards in Ch. 3 Conditional probability and independence Deck (5)
Loading flashcards...
1

P(A | B) =

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

2

P(A n B | C) =

P(A n B | C) = P(B | C)P(A | B n C)

3

Bayes' theorem, for events A, B and C
P(A | B) =
P(A | B n C) =

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

P(A | B n C) = P(A | C)(P(B | An C) / P(B | C)

4

Definition of independence of 2 events A and B

P(A n B) = P(A)P(B)

5

2 events A and B are conditionally independent if given a third event C:

P(A n B | C) = P(A | C)P(B | C)