\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)\left(1-\frac{3}{9}\right)...\left(1-\frac{2005}{9}\right)\)
\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)...\left(1-\frac{9}{9}\right)...\left(1-\frac{2005}{9}\right)\)
\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)...\left(1-1\right)...\left(1-\frac{2005}{9}\right)\)
\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)...0...\left(1-\frac{2005}{9}\right)\)
I = 0
=> I = 0