A standard 52 card deck is used. It is randomly divided into two parts of 26 cards each. A card is selected from the first set, and it is found to be the Queen of Hearts. The Queen of Hearts is then placed into the second set and a card is randomly picked from that set. What is the probability that the selected card is a Queen?
Hint: define events F0, F1, F2, F3 such that Fi corresponds to the event that there are i queens initially placed in the second set.