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Currently Playing: Can a Chess Piece Explain Markov Chains? | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi In this episode probability mathematics and chess collide. What is the average number of steps it would take before a randomly moving knight returned to its starting square? Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode - When Pi is Not 3.14 https://www.youtube.com/watch?v=ineO1tIyPfM Mathematician Kelsey Houston-Edwards explains Markov Chains and how they can be used to determine the probability of random chess moves, as well as the likelihood your favorite music will pop up on the radio. Sources include: Probability: Theory and Examples https://www.amazon.com/Probability-Cambridge-Statistical-Probabilistic-Mathematics/dp/0521765390 Markov Chains https://www.amazon.com/Markov-Cambridge-Statistical-Probabilistic-Mathematics/dp/0521633966 Markov Chains and Mixing Times http://pages.uoregon.edu/dlevin/MARKOV/markovmixing.pdf Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com) Comments answered by Kelsey: Taylor Kinser https://www.youtube.com/watch?v=ineO1tIyPfM&lc=z13gwfezuyvgxbs2s221wnuhbym0c5nw404 Huy Dinh https://www.youtube.com/watch?v=ineO1tIyPfM&lc=z120z5grjojpxrhdo22pfvajgmbux1ved Funky Tom https://www.youtube.com/watch?v=ineO1tIyPfM&lc=z12wzxriwuvrj1ab404ccfm4fzjpgppi15c Steve’s Mathy Stuff https://www.youtube.com/watch?v=ineO1tIyPfM&lc=z12pcjlgey25shhxd04ch5epeojxwf2gey00k.1483698612220851