Your question is Probability of Larger Piece in a Line. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
Line with n people. You have a stick, which you break in 2 pieces uniformly. Give one piece to the first person, take the other to the next person and repeat. What is the probability that a given person has a larger stick than the person right behind him/her?