Five men are trying to find their hats in a closet. The closet contains their hats as well as 5 additional hats. (total 10 hats) What is the probability that at least one man retrieves his own hat?
Thank you for your help.
If there are men and hats. The probability that men select there own hat is:
Where, is the probability that no matches occur.
For your case, extend the number of hats to and let to be then to be Now take minus the sum of your values for and
Hope this helps.