Lecture%2010

# Lecture%2010 - Section 4.3 Addition Rule Consider the...

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Section 4.3 Addition Rule: Consider the events A and B We can combine the events with OR to create a new event. Therefore A or B is a also an event We will always consider the inclusive OR . By the event A or B , we mean In a single trial (i.e., when the procedure, or the experiment is performed once ), the outcome is either the event A or the event B or both .

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Consider the Titanic example: Men Women Boys Girls Total Survived 332 318 29 27 706 Died 1360 104 35 18 1517 Total 1692 422 64 45 2223 Randomly choose a Titanic passenger (single trial of the procedure or experiment) Consider the events: M = the passenger was a man D = the passenger died S = the passenger survived G = the passenger was a girl M or D = the passenger is a man or the passenger died or both i.e., the passenger is a man & he died S or G = the passenger survived or she is a girl or both, i.e., she is a girl & she survived.
Men Women Boys Girls Total Survived 332 318 29 27 706 Died 1360 104 35 18 1517 Total 1692 422 64 45 2223 M = the passenger was a man D = the passenger died S = the passenger survived G = the passenger was a girl Find P( M or D ): The total number of passengers who are men or who died or both =

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Lecture%2010 - Section 4.3 Addition Rule Consider the...

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