(1-1/2)x(1-1/3)x(1-1/4)x(1-1/5)x(1-1/6)
=1/2x2/3x3/4x4/5x5/6
=1/6
\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)\times\left(1-\frac{1}{6}\right)\)
\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\)
\(=\frac{1\times2\times3\times4\times5}{2\times3\times4\times5\times6}=\frac{1}{6}\)
=\(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\)
=1\(\times\frac{1}{6}\)
=\(\frac{1}{6}\)
Trl:
\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right).\left(1-\frac{1}{6}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.\frac{5}{6}\)
\(=1.\frac{1}{6}\)
\(=\frac{1}{6}\)