The Sorry State Lottery requires you to select five different numbers from 0 through 53. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.) What is the probability of being a Big Winner? What is the probability of being a Small-Fry Winner? What is the probability that you are either a Big Winner or a Small-Fry Winner?

40 Jennie's teacher told her to select two problems from a list of two C-level problems, five B-level problems, and one A-level problem. If she selected at random, what is the probability that she se- lected two B-level problems?

Suppose you play a game of rolling a 12-face die. You win if you roll a “3” or “6” or “9”. Otherwise, you lose. a. What is the probability of winning a game? Your answer is 1/4 . Write your answer in decimal number. b.   What is the probability of losing a game? Your answer is   Write your answer in decimal number. c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of betting on “3”, “6”, “9”. Hint: 10 x (probability of winning) + (–10) x (probability of losing). Your answer is   Write your answer in decimal number. d. What is your expected value of betting on “3”, “6”, “9” for 50 times. Your answer is

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.