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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 3079 .

 

(a) What is the probability that the winning number matches your number exactly?(Enter your answer rounded to four decimal places.)

 

(b) What is the probability that the winning number has the same digits as your number in any order?(Enter your answer rounded to four decimal places.)

 Jan 15, 2020
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1   every number has equal chance      there are 10000 numbers     so   1/10000 chance =.0001

2   there are 24 arrangements of the numbers   3 0 7 9     24/10000        .0024

 Jan 15, 2020

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