The king's minter boxes coins 100 to a box. In each box he puts 1 false coin. The king suspects the minter and from each of the 100 boxes drws a random coin and has it tested. What is the probablity that no "false" coins will be found?

There are 99 good coins and 1 bad coin in each box. There are 100 boxes.

\underbrace{(.99)(.99)\cdot\cdot\cdot\cdot(.99)}_{ \text{100 times}}=(.99)^{100}