Two identical pack of cards A and B are shuffled throughly. One card is picked from A and shuffled with B. The top card from pack A is turned up.
If this is the Queen of Hearts, what are the chances that the top card in B will be the King of Hearts?
(In reply to Solution
Given that the Queen of Hearts was turned up on the first deck, the card that was transferred to deck B is equally likely to be any one of the 51 other cards in the deck, so the probability is
or about 0.0192378838327783943 rather than the 0.0192307692307692307 that 1/52 would be.
Posted by Charlie
on 2004-02-05 08:43:55