The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated as being either a good, fair, or poor manager by his/ her boss. The manager's background was given. What is the probability the manager has no college background given he is only a fair manager?

Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow?   Give your answer in its simplest form.

In one town, 81% of all voters are Democrat. If two voters are randomly selected for a survey, what is the probability that they are both Democrat

Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school, Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students will vote. The size of each group and the chance that the group would vote for Ryuji are given below. Probability the Group will Vote for Ryuji Size of the Group Group (in percent of athletes) Track and Field 47% 76% Volleyball 33% 44% Baseball 20% 43% The percentage of votes Ryuji is expected to get is Number %. Is Ryuji expected to win? Yes O No