Now Homero is clutching five identical pieces of string in his fist, in the same way as above. On each side of his fist there are five ends. On each side Sofia ties together free pieces of string, leaving a single end free either side. (So she makes four knots in total.)
2) What is the probability that one piece of string is not connected to any other?
3) What is the probability that all the pieces are joined in one long piece?