Despite the repeated effort by the government to reform how Wall Street pays its executives, some of the nation’s biggest banks are continuing to pay out bonuses nearly as large as those in the best years before the crisis (The Washington Post, January 15, 2010). It is known that 10 out of 15 members of the board of directors of a company were in favor of the bonus. Suppose two members were randomly selected by the media.
a. What is the probability that both of them were in favor of the bonus?
b. What is the probability that neither of them was in favor of the bonus?