Let U1 and U2 be two urns such that U1 contains 3 white 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 U1 and put into U2. However, if tail appears then 2 balls are drawn at random from U1 and put into U2. Now 1 ball is drawn at random from U2.Given that the drawn ball from U2 is white, the probability that head appeared on the coin is

Let U1 and U2 be two urns such that U1 contains 3 white and 2 red ball

1.	Let U1 and U2 be two urns such that U1 contains 3 white 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 U1 and put into U2. However, if tail appears then 2 balls are drawn at random from U1 and put into U2. Now 1 ball is drawn at random from U2.Given that the drawn ball from U2 is white, the probability that head appeared on the coin is
Answer» Let $U_{1} and U_{2}$ be two urns such that $U_{1}$ contains 3 white and 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 $U_{1}$ 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 $U_{2}$ . Given that the drawn ball from $U_{2}$ is white, the probability that head appeared on the coin is