https://www.janestreet.com/puzzles/current-puzzle/
For a fixed p, independently label the nodes of an infinite complete binary tree 0 with probability p, and 1 otherwise. For what p is there exactly a 1/2 probability that there exists an infinite path down the tree that sums to at most 1 (that is, all nodes visited, with the possible exception of one, will be labeled 0). Find this value of p accurate to 10 decimal places.
https://www.youtube.com/playlist?list=PLqFaTIg4myu_yKJpvF8WE2JfaG5kGuvoE
https://drive.google.com/file/d/1rYu-mIcsTrAeCuH-xHPofrI1i1qNVzqO/view
https://drive.google.com/file/d/1AbaBYbEa_EbPelsT40-vj64L-2IwUJHy/view?pli=1
https://drive.google.com/file/d/12AI7lRBc8DQvqMGmit3mcgL3rsZwkEID/view
https://drive.google.com/file/d/1W8EnoPXRLTQesfjvb-b3Zj-dnBf1f--n/view
https://drive.google.com/file/d/122-SqEJIcOREYtiKFWSsH5IXUYhBVVkD/view
https://drive.google.com/file/u/0/d/17oA0s8yh8xNZ5ZKiM7cR3lPFlRO-P02a/view?pli=1
https://drive.google.com/file/d/1di0wyazJkwLA4VbXoBDqxveaJOwFmdJF/view?pli=1
