How do I Draw a Large Number Out of a Hat Digit-By-Digit



Hi There:

I have been asked to determine how to farely run a random contest where
a winner is selected at random. I have also been asked to present a
solution that works in the following way:

For each digit, draw that digit out of a hat to form the winning
number.

4 Hats

1 2 3 4

each with 10 slips of paper 0-9
every purmutation 0000 - 9999 possible
but only 9001 participants

1. Let's say there are 9001 participants
2. I would put 4 hats on the table
3. In each hat I place 10 slips of paper, 1 for each digit 0-9
4. I then draw each digit and form a number that will be between 0000
and 9999

QUESTION
Is this drawing still random if I draw a number that is greater than
the number of participants, represented by 0001 through 9001; If I draw
9176, then I put them back and start over?

.



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