Let U and U be two urns such that U contains 3 white balls and 2 red balls and U2 contains only 1 white ball. A fair coin is tossed. If head appears, then 1 ball is drawn at random from U and put into U2. However, if tail appears, then 2 balls are drawn at random from U and put into U2. Now, 1 ball is drawn at random from U . 141. The probability of the drawn ball from U being white, is 13 (a) 30 (b) 17 23 23 30 (b) (c) 11 23 19 142. Given that the drawn ball from U is white, then the probability that head appeared on the coin, is [IIT-JEE 2011, 3+3M] 12 23 30 15 (c). (d) 23 11 30 (d)