The coin flip conundrum - Po-Shen Loh

Check out our Patreon page: https://www.patreon.com/teded View full lesson: https://ed.ted.com/lessons/the-coin-flip-conundrum-po-shen-loh When you flip a coin to make a decision, there's...

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When the Wright brothers had to decidewho would be the first to fly their new airplaneoff a sand dune, they flipped a coin.That was fair:we all know there’s an equal chance of getting heads and tails.But what if they had a more complicated contest?What if they flipped coins repeatedly,so that Orville would win as soon as two heads showed up in a row on his coin,and Wilbur would win as soon as heads was immediately followed by tails on his?Would each brother still have had an equal chance to be the first in flight?At first, it may seem they’d still have the same chance of winning.There are four combinations for two consecutive flips.And if you do flip a coin just twice,there’s an equal chance of each one -- 25%.So your intuition might tell you that in an...
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