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A bag contains n identical red balls , 2n identical black balls & 3n identical white balls . If probability of drawing n balls of same colour is equal to 1/6 , then minimum no of red balls in the bag is equal to ?

A bag contains n identical red balls , 2n identical black balls & 3n identical white balls .

If probability of drawing n balls of same colour is equal to 1/6 , then minimum no of red balls in the bag is equal to ?

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1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
please find the answer to your question below
From the given data
The requires probability is given by
(3)/(n+2c2)\leq1/6
By substitution we find that n=5 is the smallest integer which makes this solution possible
Soprobability of drawing n balls of same colour is equal to 1/6 , then minimum no of red balls in the bag is equal to 5

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