The UEFA Champions League is an annual football competition featuring the top-performing clubs from various European leagues. Each year, a total of $88$ or $89$ teams qualify to participate. The competition begins with a group stage involving $32$ teams divided into $8$ groups of $4$ teams each. Each team here is a Champion (that’s why the name is Champions League). It is impossible to predict the outcome of a match or whether a team's chances of winning are higher. The top two teams from each group advance to the knockout stage. The knockout stage starts with top $16$ teams from $8$ groups. The losing team in each match is eliminated, and the competition continues until a single team emerges as the champion. Assume that no match ends in a draw. What is the probability of Juventus being the Champions?