Let $u_1$ and $u_2$ be two urns such that $u_1$ contains 3 white, 2 red balls and $u_2$ contains only 1 white ball. A fair coin is tossed. If head appears, then 1 ball is drawn at random from urn $u_1$ and put into $u_2$. However, if tail appears, then 2 balls are drawn at random from $u_1$ and put into $u_2$. Now, 1 ball is drawn at random from $u_2$. Then, probability of the drawn ball from $u_2$ being white is