A) An experiment consists of tossing a coin once and then choosing a letter from the word PARDON. Write the correct sample space S for this experiment. Use set braces correctly.
B) A group of individuals consists of seven Republicans and ten Democrats. Find the probability that a seven-member committee contains exactly five Democrats.
C) Let E represent the event "being a fisherman" and let G represent the event "not being able to swim." Are E, G mutually exclusive events? Explain.