($1$-$\frac{1}{2}$) ×( $1$ -$\frac{1}{3}$ ) × ($1$-$\frac{1}{4}$) × ($1$-$\frac{1}{5}$) ×...× ($1$-$\frac{1}{19}$) ×( $1$-$\frac{1}{20}$)
$=$ $\frac{1}{2}$×$\frac{2}{3}$×$\frac{3}{4}$×..×$\frac{18}{10}$×$\frac{19}{20}$
$=$$\frac{2×3×4×5×6×7×8×9×...×18×19}{2×3×4×5×6×7×8×9×...×19×20}$
$=$ $\frac{1}{20}$