5} In one play of a game, Amy rolls a fair die. Ifthe die shows 1, Amy wins. If the die does not show 1, then Bill ips a fair coin. If the coin turns up Heads, Bill wins. all Find the probability that Amy wins and the probability that Bill wins in one play of the game. bl The game is played repeatedly until either Amy or Bill has won. Find the probability that Amy wins the game. 6} A six-sided die is weighted so that the probabilities of rolling a 1, 2,3 or 4 are equal. The probabilities of rolling a 5 or 5 also are equal to each other. With this die, Kia is three times more likely to roll a 5 than a 2. 1What is the probability that she will roll a 4? Express your answer as a common fraction. 1} In a raffle, there are three sets of tickets (red, blue and green}, each numbered 1 through 999, for a total of 299? tickets. The prizes are distributed based on the table below. If a ticket is chosen at random, what is the probability of winning a small prize? Express your answer as a common fraction. Prlze Size Req ulred Ticket Large Prize Bed and multiple of 3" Medium Prize Blue Small Prize Multiple T 1 B} The probability that a blue-eyed person is left-handed is 7". The probability that a left- 1 handed person is blue-eyed is 5. The probability that a person has neither of these 4 attributes is 3. what is the probability that a person has both attributes? B} A supem'rarket buys its eggs from three different chicken ranches. They buy 1.33 of their eggs from Eggs'B Us, 1f2of their eggs from The Yolk Ranch, and 1,16 of their eggs from Cheap Eggs. The supermarket determines that 19s of the eggs from Eggs'ii Us are cracked, 2% of the eggs from the Yolk Ranch are cracked, and 4% of the eggs from Cheap Eggs are cracked. a] Draw the tree. b} Find the probability that an egg chosen at random is from Cheap Eggs, given that the egg is cracked? 1IJ}Assuming that any arrangement of letters forms a word, how many four-letter words can be formed from: a} KATE b} JILL