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# hw03 - hw03 ChE 132C due Jan.26 2011 1 A slot machine has...

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hw03 ChE 132C due Jan.26 , 2011 1) A slot machine has three dials each with 20 symbols (cherries, oranges, lemons, plums, bells, and bars). Since each of the three dials may come to rest in any one of 20 positions there are 20x20x20 = 8000 permutations possible. The dials are set with the following numbers of each symbol: Dial I Dial II Dial III Cherries 7 7 0 Oranges 3 6 7 Lemons 3 0 4 Plums 5 1 5 Bells 1 3 3 Bars 1 3 1 20 20 20 The following table gives the amounts that the house pays in dollars for each winning outcome. Losing outcomes, for which the house pays nothing, are not listed. Complete the table and enter the amount you expect to win after each trial in the gray box (bottom left). If it costs \$1 to play, should you play this game? probability winning permutations winnings probability * winnings bar bar bar 62 bell bell bell 18 bell bell bar 18 plum plum plum 14 plum plum bar 14 orange orange orange 10 orange orange bar 10 cherry cherry lemon 5 cherry cherry bell 5 cherry cherry X 3 (all other permutations lose) 0

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hw03 - hw03 ChE 132C due Jan.26 2011 1 A slot machine has...

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