In an airport security line, every 20th person has his bag searched, and every 10th person is asked to put her shoes through a special X-ray machine. Of 100 passengers, what is the probability that a passenger will be asked to put his shoes through the X-ray and have his bag searched?
(A)\(\frac{1}{100}\) (B)\(\frac{1}{50}\) (C)\(\frac{1}{20}\) (D)\(\frac{1}{10}\) (E)\(\frac{1}{5}\)
C