Variation of coupon collector's problem? [closed]












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If I have n coupons to collect and I buy only 2n boxes, how many distinct types of coupons can I expect to have?






probability expected-value coupon-collector







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closed as off-topic by max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos Nov 29 '18 at 12:04


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos

If this question can be reworded to fit the rules in the help center, please edit the question.


















    -2














    If I have n coupons to collect and I buy only 2n boxes, how many distinct types of coupons can I expect to have?






    probability expected-value coupon-collector







    share|cite|improve this question













    closed as off-topic by max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos Nov 29 '18 at 12:04


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos

    If this question can be reworded to fit the rules in the help center, please edit the question.
















      -2












      -2








      -2


      1





      If I have n coupons to collect and I buy only 2n boxes, how many distinct types of coupons can I expect to have?






      probability expected-value coupon-collector







      share|cite|improve this question













      If I have n coupons to collect and I buy only 2n boxes, how many distinct types of coupons can I expect to have?






      probability expected-value coupon-collector




      probability expected-value coupon-collector






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Nov 29 '18 at 2:20









      Justin DeeJustin Dee

      615




      615




      closed as off-topic by max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos Nov 29 '18 at 12:04


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos

      If this question can be reworded to fit the rules in the help center, please edit the question.




      closed as off-topic by max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos Nov 29 '18 at 12:04


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos

      If this question can be reworded to fit the rules in the help center, please edit the question.






















          1 Answer
          1






          active

          oldest

          votes


















          2














          Hint:



          For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$






          share|cite|improve this answer






























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            2














            Hint:



            For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$






            share|cite|improve this answer




























              2














              Hint:



              For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$






              share|cite|improve this answer


























                2












                2








                2






                Hint:



                For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$






                share|cite|improve this answer














                Hint:



                For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$







                share|cite|improve this answer














                share|cite|improve this answer



                share|cite|improve this answer








                edited Nov 29 '18 at 16:02

























                answered Nov 29 '18 at 3:01









                saulspatzsaulspatz

                14k21329




                14k21329















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