The Pick 4 games in many state lotteries announce a four-digit winning number each day. The winning number is essentially a four-digit group from a table of random digits. You win if your choice matches the winning digits. Suppose your chosen number is 5107.
What is the probability (+- 0.00001) that your number matches the winning number exactly?
What is the probability (+- 0.00001) that your number matches the digits in the winning number in any order?