c: Ta có: \(C=1-\dfrac{1}{5\cdot10}-\dfrac{1}{10\cdot15}-\dfrac{1}{15\cdot20}-...-\dfrac{1}{95\cdot100}\)
\(=1-\dfrac{1}{5}\left(\dfrac{5}{5\cdot10}+\dfrac{5}{10\cdot15}+...+\dfrac{5}{95\cdot100}\right)\)
\(=1-\dfrac{1}{5}\left(\dfrac{1}{5}-\dfrac{1}{100}\right)\)
\(=1-\dfrac{1}{5}\cdot\dfrac{95}{500}\)
\(=1-\dfrac{19}{500}=\dfrac{481}{500}\)