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  •   Forum  >> Algebra  >> Probability  

    Mayank Bhardwaj  
    Total Posted Questions : 30
       

    A box contains b red balls 2b white 3b blue balls $ b>0

    3 balls are selected without replacement if A is the event that no two of the selected balls have same colour then

    1) no value of b for which P(A)= 0.3

    2) one value of b for which P(A)= 0.3 and this value is less than 10

    3) two values of b and this value is greater than 10

    4) None

      Post Your Reply




    Total Replies: 1
    Profile Message

    askIITians expert badiuddin.ismu
    Total Posted Answers: 1758
     

    Dear Mayank

    3 balls are selected without replacement if  no two of the selected balls have same colour then 

     = bC1 * 2bC1 *3bC

     

    Probability P =[ bC1 * 2bC1 *3bC]/6bC3

                        =6b2 /(6b-1)(6b-2)

     for P = 0.3

      6b2 /(6b-1)(6b-2)  =0.3

      8b2 -9b +1 =0

      b=1 and b =1/8

     b can not be 1/8

     so only one value of b =1

    option b is correct

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    Badiuddin

    2/8/2010 10:55:25 AM