A box of nails contains 90 straight nails and 10 nails too bent to be used. You randomly select 10 nails from the box. What is the probability that you removed 8 straight nails and 2 bent nails? To find the probability, first derive a general expression using the following notation:
N=Ns+Nb
n=ns+nb
where N is the total number of nails in the box, and Ns and Nb are the number of straight and bent nails, respectively, n is the total number of nails removed from the box, and and ns and nb are the number of straight and bent nails removed from the box, respectively.