1) An extracurricular activities committee is formed randomly from 2 members of the the pep club. The pep club currently has 5 members: Greg, Bill, Joe and Kim who are all Ryder fans, and Jerry who hate the Ryders. What is the probability that the committee will have 2 Ryder fans? 2) A card is drawn randomly from a regular deck of cards: a) What is the probability that it is either a club or a spade? b) What is the probability that it is either a heart or a face card? 3 ) A fair coin is flipped 3 times. a) What is the probability that the coin flips heads 3 times in a row or tails 3 times in a row? b ) What is the probability of flipping heads at least twice? 4) Out of all the business students, 40% specialize in accounting, 15% fail their business math course, and 5% are accounting students who also failed their math class. a ) What is the probability that a student in accounting fails their math class? b ) What is the probability that a student who fails their math class is studying accounting? C) What percentage of students are either taking accounting or passed their math course?5) In a two player game of Texas hold em each player is dealt two cards face down. a) What is the probability that one of your opponents card is an ace? b) What is the probability that both of your opponents cards are aces, given that you have two aces? C) What is the probability that one of your opponents cards is an ace, after looking at your cards and seeing two aces? 6) In 7 card stud, 3 cards are dealt face down to each player: a) What is the probability that all 3 of your opponent's face down cards are Aces? You can see 6 cards and none are Aces. b) If your first two face up cards are spades, what is the probability that all 3 of your face down cards are going to be spades? Ignore the other players cards