You roll a die and you spin the spinner withe 3 sections. if the sum of your roll and spin is 6 or 8, you win $5. if your sum is 11 win $20. if you get any other sum, lose $5. a. list the sample set. b. find the expected value. c. game in your favor

sample set : throwing die can result 6 sample space i.e { 1,2,3,4,5,6}

spinner can result 3 results : (2,5,7}

hence total possible outcomes are 6 x 3 = 18 (Answer a)

Now for willing $5 , sum required is 6 or 8 ... possible ways are (1,5) (4,2) (1,7) (3,5) (6,2) total : 5 ways

$ 20 for sum of 11 : can be achieved by (4,7) (6,5) Total 2 ways

Expected value of winning, C = 5/18+ 2/18 =7/18 (Answer B)

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