Difference between revisions of "2023 SSMO Relay Round 4 Problems/Problem 3"
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==Problem== | ==Problem== | ||
| − | Let <math>T=</math> | + | Let <math>T=TNYWR</math>. <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 of these <math>N+1</math> numbers is greater than <math>\frac{N+2}{2}</math> is <math>M,</math> such that the decimal representation of <math>\frac{1}{M}</math> has <math>a</math> <math>0</math>'s before the first nonzero digit of it, find <math>n</math> rounded to nearest multiple of <math>5.</math> |
==Solution== | ==Solution== | ||
Latest revision as of 19:19, 2 May 2025
Problem
Let 
. 
numbers are chosen from the set 
with replacement. If the probability that the median of these numbers is greater than 
is 
such that the decimal representation of 
has 
's before the first nonzero digit of it, find 
rounded to nearest multiple of 
