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Goals Notes I Mutually Exclusive Events (Venn diagrams are useful!) I The Addition Rule I A Summary of Rules for Probabilities. Mutually Exclusive Events Notes Use Venn diagrams to visualize events. Probability Experiment: Select a Tablet Owner Event A: ”Owns an iPad” Event B: ”Owns a Kindle” Owns a Tablet A B Events A and B overlap and are not mutually exclusive. Mutually Exclusive Events Notes Mutually Exclusive Events do not overlap. These events have no common possilbe outcomes. Probability Experiment: ”Roll a six-sided die” Event A: ”Roll a two.” Event B: ”Roll greater than three.” Rolls a six-sided die 4,5,6 2 1,3 The Addition Rule Notes The probability of the event ”A and B” had the multiplication rule: The Multiplication Rule P(A and B) = P(A) · P(B|A) The probability of the event ”A or B” uses the addition rule: The Addition Rule P(A or B) = P(A) + P(B) − P(A and B) I Why do we need to subtract P(A and B)? I Can we use a special addition rule like we had with the special Multiplication Rule? Summary of probability rules I I I I I I Notes 0 ≤ P(A) ≤ 1. P(A) + P(A0 ) = 1. P(A and B) = P(A) · P(B|A). P(A and B) = P(A) · P(B) if A and B are independent. P(A or B) = P(A) + P(B) − P(A and B). P(A or B) = P(A) + P(B) if A and B are mutually exclusive. Assignment I §3.3: #14, #17, #20, #24, #27, #28, I Read 3.4 Suggested Exercises: #1, #2, #7, #8, #9, #11 Notes