Question 1148639
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            I will answer ## 1), 2) and 6) only.



            For #1 - #6 suppose there are two little lotteries in town, each of which sells exactly 100 tickets.


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1)  If each lottery has only one winning ticket, and you buy two tickets to the "same" lottery, what is the probability 
    that you will have {{{highlight(cross(a))}}} <U>THE</U> winning ticket?


        The total number of non-ordered pairs of different tickets is  {{{C[100]^2}}} = {{{(100*99)/2}}}. It is the sample set.

        The total number of the favorable non-ordered pairs is 99. Therefore,

            P = {{{99/C[100]^2}}} = {{{99/(((100*99)/2))}}} = {{{2/100}}} = {{{1/50}}}     <U>ANSWER</U>   



5)  If each lottery has two winning tickets, and you buy two tickets to the same lottery, what is the probability 
    that you will have two winning tickets?


        P = {{{(1/100)*(1/99)}}}.      <U>ANSWER</U>




6)  If each lottery has two winning tickets, and you buy two tickets to the same lottery, what is the probability 
    that you will have at least one winning ticket?


        The total number of all ordered pairs of different tickets is  100*100 = {{{100^2}}}. It is the sample set.

        The total number of the favorable ordered pairs is 99+99+1 = 199. Therefore,

            P = {{{199/100^2}}}.        <U>ANSWER</U>   
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