Seven sportsmen (named A,B,C,D,E,F and G) buy 7 hats choosing randomly out of 4 available colors (say G,R,W and Y).
What is the probability that all the colors were chosen?

There are 4^7 combinations (16384).  Of these, there are 8400 combinations which contain all four colors.  This yields a probability of 51.2695 %.

Posted by hoodat on 2010-05-03 02:03:31