A bag contains 3 white and 2 red balls and a box contains only 1 white ball. A fair coin is tossed. If heads appears, then 1 ball is drawn at random from the bag and placed in the box and if tails appears, then 2 balls are drawn at random from the bag and placed in the box. 1 ball is now drawn at random from the box. What is the probability that it is white?

1) 13/30
2) 23/30
3) 19/30
4) 2/3