On his trip to Einsteinia, Jimmy decided to venture into the forests and learn about the topography of the region. In his excitement, however, he missed seeing the warning sign placed outside the jungle to warn visitors of the treacherous cannibals that inhabited the forest. While poor Jimmy was happily checking out the scenery of the place, he was gagged by a horde of evil-looking cannibals and put into a cage. They fed him a few fruits and informed him that he would be eaten later that night. Jimmy cried out that this wasn't fair and that he should be given a chance to be free. Looking at his innocence, the leader of the cannibals felt sorry for him and gave him a chance to earn his freedom. He was presented with a one metre long stick and asked to break it into three parts randomly. If using the three parts, he is able to form a triangle, he will be let off scot-free. Else, he would be eaten that night. What is the probability that Jimmy will survive this ordeal? Provide a detailed explanation along with your answer.