Week 2 Wed Sept 8a - WEEK 2 Wed Sept 8 Expected New...

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1 WEEK 2 Wed, Sept 8 Expected New Coverage for Today . Ideas in Chapter 2, Sections 2-4 and 2-5. Example 1. Rolling Two Balanced Dice. For purposes of enumerating outcomes, think of one die as green in color and the other as red in color. We take S to consist of all ordered pairs (i, j) where i denotes the outcome for the Green die and j denotes the outcome for the Red die. S consists of 6 x 6 = 36 ordered pairs. Red 1 2 3 4 5 6 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) Green 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) We use this Probability Model: The 36 outcomes are equally likely. If A is the event “Total of the pips on the top faces of the two dice is 8,” then formally A = {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}. It contains 5 of the 36 equally likely outcomes of S so that
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2 Intersection . If A and B are events then their intersection is an event. It consists of all outcomes that are in both A and B . For modeling we take as a basic rule (2-8) Spoken as “probability of B given A Spoken as “probability of A given B Exercise 2-27 . Did in lecture.
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