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If six numbers are chosen at random, with replacement, from the set of integers from $1$ to $900,$ inclusive, what is the probability that the product of these six integers leaves a remainder of $4$ when divided by $30?$ Express your answer as a percent to the nearest thousandth.

 May 13, 2020
 #1
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This problem is part of a ongoing competition.  For the integrity of the competition, please do not answer this question.

 May 13, 2020
 #2
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Wonderman, thank's for bringing this up.

 

If you are able to, I'd like to hear what competition, and are the other posts from broski part of it?

 

Thanks.

 

If you are sure then report this post.

hugomimihu  May 13, 2020
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It is (or was) part of MathCounts

Guest May 14, 2020

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