Probability Problem with Balls

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A box has inside 3 black balls, 2 red balls and 3 green balls. If you pick a black ball you win 2 euros, if you pick a red ball you lose 1 euro, and if you pick a green ball nothing happens. You pick 100 times a ball. What is the probability to win at least 50 euro.
B
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  • I'd approximate the final distribution by a normal random variable.
    – Lord Shark the Unknown
    Sep 9 at 13:25














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A box has inside 3 black balls, 2 red balls and 3 green balls. If you pick a black ball you win 2 euros, if you pick a red ball you lose 1 euro, and if you pick a green ball nothing happens. You pick 100 times a ball. What is the probability to win at least 50 euro.
B
Can you help me to solve this one?










share|cite|improve this question





















  • I'd approximate the final distribution by a normal random variable.
    – Lord Shark the Unknown
    Sep 9 at 13:25












up vote
0
down vote

favorite
1









up vote
0
down vote

favorite
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A box has inside 3 black balls, 2 red balls and 3 green balls. If you pick a black ball you win 2 euros, if you pick a red ball you lose 1 euro, and if you pick a green ball nothing happens. You pick 100 times a ball. What is the probability to win at least 50 euro.
B
Can you help me to solve this one?










share|cite|improve this question













A box has inside 3 black balls, 2 red balls and 3 green balls. If you pick a black ball you win 2 euros, if you pick a red ball you lose 1 euro, and if you pick a green ball nothing happens. You pick 100 times a ball. What is the probability to win at least 50 euro.
B
Can you help me to solve this one?







probability problem-solving






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asked Sep 9 at 13:20









HiImQwerty

32




32











  • I'd approximate the final distribution by a normal random variable.
    – Lord Shark the Unknown
    Sep 9 at 13:25
















  • I'd approximate the final distribution by a normal random variable.
    – Lord Shark the Unknown
    Sep 9 at 13:25















I'd approximate the final distribution by a normal random variable.
– Lord Shark the Unknown
Sep 9 at 13:25




I'd approximate the final distribution by a normal random variable.
– Lord Shark the Unknown
Sep 9 at 13:25










1 Answer
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1
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accepted










Hints:



  1. Can you compute your expected gain or loss for each time you pick a ball?


  2. This is then a binomial experiment with 100 trials (which accounts for the comment suggesting approximation by a normal random variable).






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    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    1
    down vote



    accepted










    Hints:



    1. Can you compute your expected gain or loss for each time you pick a ball?


    2. This is then a binomial experiment with 100 trials (which accounts for the comment suggesting approximation by a normal random variable).






    share|cite|improve this answer
























      up vote
      1
      down vote



      accepted










      Hints:



      1. Can you compute your expected gain or loss for each time you pick a ball?


      2. This is then a binomial experiment with 100 trials (which accounts for the comment suggesting approximation by a normal random variable).






      share|cite|improve this answer






















        up vote
        1
        down vote



        accepted







        up vote
        1
        down vote



        accepted






        Hints:



        1. Can you compute your expected gain or loss for each time you pick a ball?


        2. This is then a binomial experiment with 100 trials (which accounts for the comment suggesting approximation by a normal random variable).






        share|cite|improve this answer












        Hints:



        1. Can you compute your expected gain or loss for each time you pick a ball?


        2. This is then a binomial experiment with 100 trials (which accounts for the comment suggesting approximation by a normal random variable).







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Sep 9 at 13:32









        rogerl

        16.7k22745




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