Note that this exercise represents a completely imaginary situation. Suppose that a tourist agency wants to offer four free trips aboard a Caribbean cruise line. The Agency considers 10 women and 7 men, all of whom are randomly selected from the customers who frequently book trips with this agency. Since the agency wants to make an unbiased selection, they use a free Internet software to assign the four trips randomly.

What is the probability that all four free trips will be awarded to female customers?