2025 AMC 8 Problems/Problem 17
Contents
[hide]Problem
In the land of Markovia, there are three cities:
Solution 1
people do not work in city
that live in city
, meaning
people that live in city
work in city
.
people that live in
work in
and
people that live in
work in
, so the answer is
.
~ alwaysgonnagiveyouup
Remark
This model is known as the Markov Chain, a type of stochastic process that models systems where the next state depends only on the current state, not on the sequence of events that preceded it. This is known as the Markov property (memoryless property).
You're welcome for uploading the image. It might be a little big or blurry. If anyone could help fix it, thanks. -- leafy
Video Solution by Pi Academy
https://youtu.be/Iv_a3Rz725w?si=E0SI_h1XT8msWgkK
Video Solution (A Clever Explanation You’ll Get Instantly)
https://youtu.be/VP7g-s8akMY?si=fV-dPbMPVzWTkSV3&t=2020 ~hsnacademy
Video Solution by Thinking Feet
See Also
2025 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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