Question 1142813
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A gamer either wins $1000 prize with the probability  {{{1/700}}},  

            or wins  $500 prize with the probability {{{1/700}}},  

            or wins any one of five  $100 prizes with the probability {{{1/700}}},

            or wins NOTHING (= any one of the remaining 700-1-1-5=693 void prizes) with the probability {{{1/700}}}.


Thus the mathematical expectation of winning for 1 single ticket is


    {{{1000/700 + 500/700 + (5*100)/700 + (0*693)/700}}} = {{{(1000 + 500 + 500)/700}}} = {{{2000/700}}} = {{{20/7}}} dollars.


From it, subtract the price $4 of the ticket, and you will get the expected value of the ticket


     {{{20/7-4}}} = {{{(20-28)/7}}} = {{{-8/7}}} dollars = {{{-1}}}{{{1/7}}} dollars.    <U>ANSWER</U>
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