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Unformatted text preview: BPS  5th Ed. Chapter 12 1 Chapter 12 General Rules of Probability BPS  5th Ed. Chapter 12 2 Probability Rules from Chapter 10 BPS  5th Ed. Chapter 12 3 Venn Diagrams Two disjoint events: Two events that are not disjoint, and the event {A and B} consisting of the outcomes they have in common: BPS  5th Ed. Chapter 12 4 If two events A and B do not influence each other, and if knowledge about one does not change the probability of the other, the events are said to be independent of each other. If two events are independent , the probability that they both happen is found by multiplying their individual probabilities: P(A and B) = P(A) × P(B) Multiplication Rule for Independent Events BPS  5th Ed. Chapter 12 5 Multiplication Rule for Independent Events Example ◆ Suppose that about 20% of incoming male freshmen smoke. ◆ Suppose these freshmen are randomly assigned in pairs to dorm rooms (assignments are independent ). ◆ The probability of a match ( both smokers or both nonsmokers ): – both are smokers: 0.04 = (0.20)(0.20) – neither is a smoker: 0.64 = (0.80)(0.80) – only one is a smoker: ? } 68% 32% (100%  68%) What if pairs are selfselected? BPS  5th Ed....
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 Summer '11
 MuntherAlraban
 Statistics, Conditional Probability, Probability, Probability theory, Drinking culture, Binge drinking

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