- #1

utkarshakash

Gold Member

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## Homework Statement

A bag contains n identical red balls, 2n identical black balls and 3n identical while balls. If probability of drawing n balls of same color is greater than or equal to 1/6, then minimum number of red balls in the bag is equal to?

## The Attempt at a Solution

[itex]P = \dfrac{^nC_n+^{2n}C_n+^{3n}C_n}{^{6n}C_n} \geq \dfrac{1}{6} [/itex]

But it seems too difficult to solve this equation.