Answer the following questions based on the following Information: A basket contains 6 white balls, 4 red balls and 2 blue balls.
In each turn a ball is picked from the basket and is kept back in the basket after noting its colour. After four turns, what is the probability that each color is picked atleast once?

Question

Answer 1

Hi,
Number of ways in which four balls can be picked such that each color is picked at least once = 6*4*2*6 + 6*4*2*4 + 6*4*2*2 = 288+192+96 = 576
Number of ways in which fours balls can be picked randomly with replacement = 12*12*12*12
Therefore, required probability = 576/144*144 = 1/36
Hope this helps
Thanks

Answer 2

Hi,
Number of ways in which four balls can be picked such that each color is picked at least once = 6*4*2*6 + 6*4*2*4 + 6*4*2*2 = 288+192+96 = 576
Number of ways in which fours balls can be picked randomly with replacement = 12*12*12*12
Therefore, required probability = 576/144*144 = 1/36
Hope this helps
Thanks

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