The pick 4 games in many state lotteries announce a, Physics

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The pick 4 games in many state lotteries announce a

Problem:

Playing Pick 4

The Pick 4 games in many state lotteries announce a four-digit winning number each day. Each of the 10,000 possible numbers 0000 to 9999 has the same chance of winning. You win if your choice matches the winning digits. Suppose your chosen number is 5974.

Required:

(i) What is the probability that the winning number matches your number exactly?

(ii) What is the probability that the winning number has the same digits as your number in any order?

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