Math 4th

• It is the measure of how likely an event is.

  Probability
• Experiment 


  Is an action through which specific or well defined results are obtained
• Outcome


  the result of the probability experiment
• Sample Space


  Set of all possible outcomes of a probability experiment
• Event


  Subset of the example space ( P(E) " the probability of event E")
• Any event which consists of a single outcome in the sample space

  Simple Event
• Compound Event


  events consists of more that one outcome
• Union of Events 


  It is a set that contains all of the elements that are in at least one of the two events ( A ∪ B )
• Intersection of Events


  It is a set that contains all of the elements that are in both events (A ∩ B)
• Independent Event 


  The occurence of one event does not affect the occurence of the other.
• What is the formula of independent event?

  $P(A and B) =$$P(A) *$$P(B)$
• Dependent Events


  The result of one event affects the result of the other event
• What is the formula of dependent events

  $P(A and B) =$$P(A) *$$P(B/A)$
• Mutually Exclusive Events


  If both events cannot happen at the same time. No common elements.
• What is the formula of Mutually Exclusive Events?

  P(A) + P(B)
• Not Mutually Exclusive Events


  Events that may occur at the same time. Both events have at least one common result.
• What is the formula of Not Mutually Exclusive Events?

  P(A and B) = P(A) + P(B) - P(A ∩ B)