P=(1-1/2)(1-1/3)(1-1/4)....(1-1/100)
P=1/2.2/3.3/4.......99/100
P=(1.2.3....99)/(2.3.4...100)=1/100
Vậy P=1/100
\(P=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)...\left(1-\frac{1}{99}\right)\left(1-\frac{1}{100}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.....\frac{98}{99}.\frac{99}{100}\)
\(\Leftrightarrow P=\frac{1}{100}\)
P=\(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{99}{100}\)
P=\(\frac{1}{100}\)
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