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SOAN 3120 (37)
Chapter 12

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Department
Sociology and Anthropology
Course
SOAN 3120
Professor
Michelle Dumas
Semester
Fall

Description
Chapter 12: General Rules of Probability  Independence and the Multiplication Rule  • Rule 3: the probability that one or the other of two events A and B occurs in the  special situation when A and B cannot occur together • Areas within S is called a Venn diagram  • A and B are disjoint because they do not overlap (separate)  • A and B are not disjoint they are overlapping, they have something in common  • Multiplication Rule for Independent Events: two events A and B are independent  if knowing that one occurs does not change the probability that the other occurs.  If A and B are independent P(A and B) = P(A)P(B)  • Independence cant change the probability  • A and B are disjoint P(A or B) = P(A) + P(B)  The General Addition Rule  • The probability that one or the other occurs is then less then the sum of their  probability. Outcomes common to both are counted twice, therefore must subtract  probability  • Rule for any two events: P(A or B) =P(A) + P(B) – P(A and B)  • Venn diagrams clarify events and probabilities because you can think of adding  and subtracting a
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