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?

I have to say that i agree with charlie's answer, although not being a mathematician i had to use a different formula

the chances of picking the king from back A is 1/51, therefore the chances of seeing 2 king of Hearts in pack B is increased by 1/51 to (1/51)+1
this can then be divided by the total number of cards in pack B to give the following equation.

((1/51)+1)/53 = 0.01923788383277839

or 52/2703

or 1/51.980769230769

Posted by Phil on 2004-02-05 15:09:48