Twelve percent of single women in the kingdom have feet which will fit into a glass slipper. Prince Charming thinks he must continue finding women who fit such a slipper, so that he has a collection to choose from. He would like 10 women who fit the slipper to compete on a "Bachelor"-type show for his hand in marriage.
a. How many women should he expect to have to check until he finds 10 women who fit the glass slipper?
b. What is the probability he has to check 75 women?