<font face="Garamond" size="+2">


Depends on whether you can see the value of the first four or not.


If you don't know the value of the first four cards, then there are 4 kings in 52 cards, or *[tex \Large P_{K}\ =\ \frac{1}{13}].


On the other hand, if you can see the first four cards, then the denominator of the fraction changes from 52 to 48, that is 52 minus the 4 cards you can see leaving you 48 cards you don't know about.  The numerator is a little more complicated.


The numerator of the probability depends on the number of kings that appear in the first 4 cards.  Quite obviously, if the first 4 cards are themselves kings, then the probability that the fifth card will be a king is zero -- because there aren't any left.


So, let *[tex \Large n] represent the number of kings that appear in the first four cards, then the probability that the fifth card is a king is calculated by the following:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P_K\ = \frac{4\ -\ n}{48}],


and you can say:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 0\ \leq\ P_K\ \leq\ \frac{1}{12}]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
</font>