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2023 SSMO Relay Round 4 Problems/Problem 3

Revision as of 22:29, 15 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>T=</math> TNYWR. <math>N+1</math> numbers are chosen from the set <math>\{1,2,3,\dots,N+1\}</math> with replacement. If the probability that the median o...")
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Problem

Let $T=$ TNYWR. $N+1$ numbers are chosen from the set $\{1,2,3,\dots,N+1\}$ with replacement. If the probability that the median of these $N+1$ numbers is greater than $\frac{N+2}{2}$ is $M,$ such that the decimal representation of $\frac{1}{M}$ has $a$ $0$'s before the first nonzero digit of it, find $n$ rounded to nearest multiple of $5.$

Solution

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