$$( 1- \frac { 1 } { 2 } ) \times ( 1- \frac { 1 } { 3 } ) \times ( 1- \frac { 1 } { 4 } ) \times ( 1- \frac { 1 } { 5 } )$$
$\frac{1}{5}=0.2$
$$\left(\frac{2}{2}-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$$
$$\frac{2-1}{2}\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$$
$$\frac{1}{2}\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$$
$$\frac{1}{2}\left(\frac{3}{3}-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$$
$$\frac{1}{2}\times \frac{3-1}{3}\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$$
$$\frac{1}{2}\times \frac{2}{3}\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$$
$$\frac{1\times 2}{2\times 3}\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$$
$$\frac{1}{3}\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$$
$$\frac{1}{3}\left(\frac{4}{4}-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$$
$$\frac{1}{3}\times \frac{4-1}{4}\left(1-\frac{1}{5}\right)$$
$$\frac{1}{3}\times \frac{3}{4}\left(1-\frac{1}{5}\right)$$
$$\frac{1\times 3}{3\times 4}\left(1-\frac{1}{5}\right)$$
$$\frac{1}{4}\left(1-\frac{1}{5}\right)$$
$$\frac{1}{4}\left(\frac{5}{5}-\frac{1}{5}\right)$$
$$\frac{1}{4}\times \frac{5-1}{5}$$
$$\frac{1}{4}\times \frac{4}{5}$$
$$\frac{1\times 4}{4\times 5}$$
$$\frac{1}{5}$$
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$\frac{1}{5} = 0.2$
