Chap 4: Probability Flashcards Preview

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Flashcards in Chap 4: Probability Deck (12):
1

complement rule

P(A) + P(not A) = 1

2

intersection

both A and B

3

union

either A or B

4

mutually exclusive

both events can't occur simultaneously
P(A and B) = 0

5

collectively exhaustive

one of events must occur
P(A or B) = 1
P(A or B) not collectively exhaustive

6

marginal rule

P(A) = P (A and B1) + P (A and B2) +.....+ P(A and Bk)

7

joint probabilities

the chance that two or more outcomes occur together
P(A and B)

8

addition law

P( A or B) = P(A) + P(B) - P(A and B)

9

addition law in case A, B are mutually exclusive events

P(A or B) = P(A) + P(B)

10

Condition law
Given the occurrence of B ---> the probability of A is

P(A/B) = P(A and B) / P(B)
P(A and B) = joint probability of A and B
P(A)= marginal probability of A
P(B) = marginal probability of B

11

A, B are independent event

P(A/B) = P(A)
P (B/A) = P(B)
P(A/B) = P(A) = P(A/not B)
P (A and B) = P(A) x P(B)

12

Multiplication law

to calculate the intersection of two events
P (A and B) = P(B) x P(A/B)
P (A and B) = P(A) x P(B/A)