In a competitive gaming tournament, participants either play 'Aggressive' (A) or 'Defensive' (D) styles. $60\%$ play A, and $40\%$ play D. An aggressive player wins a match with $70\%$ probability, while a defensive player wins with $45\%$ probability. If a player is randomly selected and it is observed that they won their match, what is the probability that they utilize the 'Defensive' style?