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Mayank Bhardwaj Grade: 12
        

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

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

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

7 years ago
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