One bag contains 3 white and 2 black balls, another bag contains 2 white and 3 black balls. Two balls are drawn from the first bag and put it into the second bag and then a ball is drawn from the second bag. What is the probability that it is white ?
1
\(\frac{6}{7}\)
2
\(\frac{32}{70}\)
3
\(\frac{3}{10}\)
4
\(\frac{1}{70}\)