KirriCorp

A question from an exam I gave -

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.

Q. The probability of the drawn ball from U2 being white is
a) 13/30
b) 23/30
c) 19/30
d) 11/30

Q. Given that the drawn ball from U2 is white, the probability that head appeared on the coin is
a) 17/23
b) 11/23
c) 15/23
d) 12/23

Hatse got the ansewer correct the fastest. Congos to Haste. You get a deck art , for use as a header -

That is just awesome \o\. I especially like the colours you gave Ailzonius.

Many many thanks.

Haste you are really very fast your name itself suggest;s that!