The Pick 4 games in many state lotteries announce a four-digit winning number ea

Question

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 5974. What is the probability that your number matches the digits in the winning number in any order?
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 5974. What is the probability that your number matches the digits in the winning number in any order?
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 5974. What is the probability that your number matches the digits in the winning number in any order?

Explanation / Answer

You have to pick the exact number from 0000 to 9999,
so probability = 1 /10,000

there you are telling that permutations of the 4-digit number that comes up will also win
there are 4! = 4*3*2*1 = 24 such permutations for any 4 digit number, so

probability = 24/10,000
= 3 /1250 or 0.24%

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