The Environmental Protection Agency must visit nine factories for complaints of air pollution. In how many ways can a representative visit five of these to investigate this week? Since the representative's travel to visit the factories includes air travel, rental cars, etc., then the order of the visits will make a difference to the travel costs.

14. A random card is selected from a well-shuffled deck.

a) What is the probability that a heart is selected?

b) Given that you have selected a card from a RED suit, what is the probability that a heart is selected?

c) Does the occurrence of knowing that the card has been selected from a red suit affect the probability of a heart being selected? In other words, are those events independent?