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MATH 1342 CHAPTER 5 OH

# MATH 1342 CHAPTER 5 OH - CHAPTER5 PROBABILITY...

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CHAPTER 5 PROBABILITY Cards & Dice Handout

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PROBABILITY DEFINITIONS: Probability – The likelihood that a given event  will occur.  Expressed as a proportion. Sample Space – All possible outcomes of an  experiment or observation – Examples. Event – Subset of the Sample Space (could  be simple or complex). Notation – P(A) = Probability of A occurring.
TWO WAYS TO  DETERMINE: Empirical – Trial;  Run a number of  times and count  successes; Then  Classical –  Calculated based on  known outcomes Examples of each. #_ _ ( ) #_ _ OF SUCCESSES P A OF TRIALS = #_ _ _ _ _ ( ) #_ _ _ _ OF WAYS A CAN OCCUR P A OF ALL POSSIBLE OUTCOMES =

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LAW OF LARGE NUMBERS As the number of trials increases using  the Empirical Method, the closer the trial  P(A) approaches the actual P(A).
PROBABILITY RULES The probability of an impossible event is  0.0. The probability of an absolutely certain  event is 1.0. For any event A, 0.0  P(A)   1.0. The sum of probabilities of all events in  the Sample Space is 1.0.

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DEFINE DISJOINT: Disjoint (Mutually Exclusive) Events –  Events that can not occur simultaneous. Venn Diagram Examples of Disjoint Events Flipping a coin. Drawing a card. Picking a marble from a jar. ( 29 0 P A B = I
ADDITION (OR) RULE: If Events A & B are Mutually Exclusive (or  disjoint), the Probability of Event A or  Event  B occurring is P(A) + P(B).

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