First Problem!Discrete Mathematics Level pending
\(P_1 , P_2 , P_3,\ldots, P_8\) are players who play knockout tournament . They are paired randomly for each round. \(P_i \)beats \(P_j\) iff \(i<j\) for all \(i\) and \(j\).
Find the probability that \(P_4\) reaches the final.
Give your answer to 3 decimal places.