A bag contains nine balls numbered from 1 to 9. Ayşe will choose a number from 1 to 9 and then draw a ball randomly from the bag. Ayşe wins the game if the sum of the number on the ball and the number she chose is at most 9 and their product is at least 9.
Which number should Ayşe choose so that her probability of winning the game is highest?\\
A) 2\\
B) 3\\
C) 4\\
D) 5\\
E) 6