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A collection of one or more outcomes of an experiment.
an event tht includes one & only one final outcome of an experiment.
EX. roll a die & get a 4.
consist of more than one final outcome of an experiment.
EX. Roll 2 Dice & receive a sum of 9.
A collection of all final outcomes of an experiment.
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.
A complimentary event denoted as A-BAR.= 1-P(A)
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.
**P(AnB) is the probability BOTH occurred.
Sets are mutually exclusize- P(AnB)=O
*ex. prob. of x being male and female*
If events are disjoint. . .
Special addition rule.
*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)
P(AIB) is the probability of Event b occurring given the fact that Event A has occurred.
P(AnB)= P(A)x P(BIA)
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