Solve this using Python Code for False Position Method.

Player A will shut out (win by a score of 21-0) player B in a game of racquetball with probability

P = [(1 + 2)/p] * [p / (1 - p + xp^2)]^(21)

where p denotes the probability A will win any specific rally (independent of the server). Determine, to within 10^?3 , the minimal value of p that will ensure that A will shut out B in at least half the matches they play.