Q.

If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 ball is 55λ(23)11  then  λ = 
 

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answer is 3.

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Detailed Solution

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 Since 3 boxes are identical, probability of selecting a box is 1/3  (in which we are to  put three balls)  P=1/3,q=11/3=2/3 
 Probability that the selected box should contain exactly 3 balls  = The probability of  exactly 3 success in 12 trails  =12c3133239=5532311   

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