14/23, or approximately 60.87%
Since the first ball is replaced before the second is drawn, the two events are independent. And the probability of the second ball being purple is the percentage of the balls that are purple in the urn. The total number of balls is 9+14 = 23 and 14 of those balls are purple, so
14/23 = probability of the second ball drawn being purple. It's approximately 0.608695652, or 60.87%
