Probability Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy $100 Question Probabilities A number cube is rolled and a penny tossed. What is the probability of rolling a 2 and tossing a tail? • $100 Answer Probabilities 1/6 1/2 = 1/12 • $200 Question Probabilities What is the probability of rolling an even number and spinning a 4 on a spinner that has four equal sections? $200 Answer from Probabilities 1/2 • 1/4 = 1/8 $300 Question from Probabilities What is the probability of rolling a 3 or 6 on a number cube, tossing a heads on a coin, and spinning a 2 on a spinner divided into 6 equal sections? $300 Answer from Probabilities 1/3 • 1/2 • 1/6 = 1/36 $400 Question from Probabilities What is the probability of picking 2 green jellybeans from a bag of 5 green, 7 yellow, 4 black, and 4 red? (without replacement) $400 Answer from Probabilities 1/4 • 4/19 = 4/76 = 1/19 $500 Question from Probabilities There are 4 green paperclips and 6 yellow paperclips in a bag. What is the probability that you grab a green one and then a yellow one? (this is without replacement) $500 Answer from Probabilities 2/5 • 2/3 = 4/15 $100 Question from Permutations How many ways can 6 students be arranged in a line at the door? $100 Answer from Permutations 6! = 6 • 5 • 4 • 3 • 2 • 1 = 720 $200 Question from Permutations Calculate 7! $200 Answer from Permutations 7•6•5•4•3•2•1 = 5,040 $300 Question from Permutations 6 track runners are in the finals. How many ways can st nd rd 1 , 2 , and 3 place be awarded? $300 Answer from Permutations P(6,3) = 6 • 5 • 4 = 120 $400 Question from Permutations How many ways can 15 students on student council be elected President, Vice-President, and Treasurer? $400 Answer from Permutations P(15,3) = 15• 14• 13 = 2,730 $500 Question from Permutations How many different 4-digit lock combinations can you make with the digits 0-5, with no repeating digits? $500 Answer from Permutations P(6,4) = 6 • 5 • 4 • 3 = 360 $100 Question from Outcomes Mrs. Ratcliffe wants a sandwich and a drink for lunch. If a restaurant has 4 choices of sandwiches and 3 choices of drinks, how many different ways can she order her lunch? $100 Answer from Outcomes 4 • 3 = 12 $200 Question from Outcomes How many total possible outcomes are there for tossing a coin, rolling a six sided number cube, and spinner 4 section spinner? $200 Answer from Outcomes 2 • 6 • 4 = 48 $300 Question Outcomes You can make 1 selection from each of the 3 categories listed below, what is the total number of different ice cream sundaes that you can create? Ice cream flavor: Chocolate, Vanilla, Strawberry, or Bubblegum Topping: Hot Fudge, Caramel, or Strawberries Candy: Sprinkles, M&M’s, or Oreos $300 Answer from Outcomes 4 • 3 • 3 = 36 $400 Question Outcomes You are buying lunch at school today. You can have pizza or a hamburger for the main course, and potato chips, Cheetos, or Fritos, and milk, apple juice, or fruit juice. How many different meal combos can you select? $400 Answer from Outcomes 18 (2 • 3 • 3) $500 Question Outcomes Mrs. Ratcliffe has a lot of clothes. She has a blue shirt, a purple shirt, a black shirt, a red shirt, and a green shirt. She has black pants, blue pants, brown pants, gray pants, a plaid skirt, and a striped skirt. What is the total number of possible combinations of outfits she can make with these choices? $500 Answer from Outcomes 5 • 6 = 30 $100 Question from Spinners What is the probability of the following spinner landing on Longitude? $100 Answer from Spinners 1/3 $200 Question from Spinners What is the probability of the following spinner landing on blue or red? $200 Answer from Spinners 5 = .625 8 $300 Question from Spinners What is the probability 1 spin of the following spinner landing on yellow and red? $300 Answer from Spinners 0 $400 Question from Spinners What is the probability of landing on a multiple of 3 if you spin the following spinner? $400 Answer from Spinners 2 1 .25 8 4 $500 Question from Spinners What is the probability of landing on 2 if you spin the following spinner? $500 Answer from Spinners 3 .375 8 $100 Question from Potpourri What is the probability of getting a heads OR a tails when flipping a coin? $100 Answer from Potpourri 1 $200 Question from Potpourri You roll two numbers cubes. What is the probability of rolling a 6 on the first cube and an even on the second cube? $200 Answer from Potpourri 1/6 • 1/2 = 1/12 $300 Question from Potpourri David flipped a fair coin 100 times and the coin landed on TAILS 55 times. What is the experimental probability that this coin will land on HEADS the next flip? $300 Answer from Potpourri 45 9 .45 100 20 $400 Question from Potpourri Find the value of 9! $400 Answer from Potpourri 9•8•7•6•5•4•3•2•1 = 362,880 $500 Question from Potpourri In a marathon consisting of 50 people, how many st nd different ways can 1 , 2 , rd and 3 place be awarded? $500 Answer from Potpourri P(50,3) = 50 • 49 • 48 = 117,600 Final Jeopardy What is the probability that the 1st spin of the spinner below would land on RED and the 2nd spin would land on YELLOW? Final Jeopardy Answer 1/4 • 1/8 = 1/32 (The spinner is divided into 8ths.)