Understanding Probability and Permutations through Engaging Questions and Scenarios

Probability Jeopardy 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 1st, 2nd, and 3rd 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

$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?

$500 Question from Spinners What is the probability of landing on 2 if you spin the following spinner?

$100 Question from Potpourri What is the probability of getting a heads OR a tails when flipping a coin?

$100 Answer from Potpourri

$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

$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 different ways can 1st, 2nd, and 3rd place be awarded?

Understanding Probability and Permutations through Engaging Questions and Scenarios