Meriç has a total of 10 balls in red and white colors. After distributing these balls into two bags such that each bag contains at least one red and one white ball, Meriç says the following:
"There are 3 red balls in the first bag. When one ball is drawn from each bag at random, the probability that both balls are red is $\frac{1}{2}$."
Accordingly, how many white balls are in the second bag?
A) 3
B) 5
C) 1
D) 2
E) 4