Probability rules

Probability rules

1. probability that two events will occur can never be greater than the probability that each one will occur individually

2. probability of an event

   • P=m/n=Successes/total Num out comes

3. notation

   • P(x)=Continuous random variable
   • P(Xi)=discrete random variable
   • event- collection of outcomes in sample space
     • one event-simple
     • more than one-compound

4. sample space

   • set of all possible outcomes

5. frequency of occurance

   • tossing coin- dependent on total number of events
   • probability-linked to frequency
   • probability-expressed in value less than one

6. rules

   • union
     • event consisting of al outcomes that are either in A or B
   • intersection
     • event all outcomes in both A and B
   • compliment
     • set of outcomes not contained in A, A'
   • mutually exclusive
     • no outcomes in common
   • independent events
     • not depend on each other
   • dependent events
     • occurrence of one event affect probability of other.
   • conditional probability
     • prob B occurs given A has