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Exam1Solutions

# Exam1Solutions - University of Wisconsin Math 331 Test 1...

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1. (12 pts) For each of the following, give a sample space for the experiment described. Also, define the event asked for. Be very clear! (a) (4 pts.) You roll a four sided die and a six sided die once each. The event you are interested in is getting a 4 with the four sided die. S = { ( a,b ) | a ∈ { 1 , 2 , 3 , 4 } ,b ∈ { 1 , 2 , 3 , 4 , 5 , 6 }} E = { (4 ,b ) | b ∈ { 1 , 2 , 3 , 4 , 5 , 6 }} (b) (4 pts.) You roll a four sided die until a 4 comes up. The event you are interested in is getting a three with the first two rolls. S = { a 1 a 2 · · · a n | n 1 ,a n = 4 ,a i ∈ { 1 , 2 , 3 } for i negationslash = n } E = { 33 a 3 a 4 · · · a n | n 3 ,a n = 4 ,a i ∈ { 1 , 2 , 3 } for i negationslash = n } (c) (4 pts.) A cab has a single passenger that will be dropped off to one of three hotels.
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Exam1Solutions - University of Wisconsin Math 331 Test 1...

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