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- Chapter 4

Jen L.

Event

A collection of one or more outcomes of an experiment.

Simple event

an event tht includes one & only one final outcome of an experiment.

EX. roll a die & get a 4.

EX. roll a die & get a 4.

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Compound

Event

Event

consist of more than one final outcome of an experiment.

EX. Roll 2 Dice & receive a sum of 9.

EX. Roll 2 Dice & receive a sum of 9.

Sample Space

A collection of all final outcomes of an experiment.

Relative Frequency

Empirical probability formula- an experiment repeated a large #of times.

The classical Approach

Theoretical Probability Formula- all outcomes in a sample space are equally likely.

P(E)= # of ways E occurs/Total # of outcomes.

P(E)= N(E)/N(S)

Subjective Probability

Guessing

Compliments

A complimentary event denoted as A-BAR.= 1-P(A)

ODDS

If all outcomes of a same space are equally likely than the favorable or unfavorables can be determined.

Union of Events

A and B consist of all outcomes common to A, common to B, or both.

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Addition Rule

P(AUB)= P(A)+P(B)-P(AnB)

**P(AnB) is the probability BOTH occurred.

**P(AnB) is the probability BOTH occurred.

Disjoint

Sets are mutually exclusize- P(AnB)=O

*ex. prob. of x being male and female*

*ex. prob. of x being male and female*

If events are disjoint. . .

Special addition rule.

P(AUB)= P(A)+P(B)-0

*NO subtraction necessary*

P(AUB)= P(A)+P(B)-0

*NO subtraction necessary*

Intersection of Events

Multiplication Rule- when events A&B consist of all elements common to A&B. (n)

- "and, with, both, all, each, every"

P(AnB)= P(A) x P(B)

- "and, with, both, all, each, every"

P(AnB)= P(A) x P(B)

Conditional Events

P(AIB) is the probability of Event b occurring given the fact that Event A has occurred.

P(AnB)= P(A)x P(BIA)

P(AnB)= P(A)x P(BIA)

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