Winning the lotterya state lotterys pick 3 game asks, Ask an Expert

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Winning the lottery

A state lottery's Pick 3 game asks players to choose a three-digit number, 000 to 999. The state chooses the winning three-digit number at random, so that each number has probability 1/1000. You win if the winning number contains the digits in your number, in any order.

(a) Your number is 456. What is your probability of winning?

(b) Your number is 212. What is your probability of winning?

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