Fun with Probabilities: Dice, Cards, and Coin Flips

Probability Jeopardy Final Jeopardy

$100 Question Probabilities A die 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 Or 0.083 •

$200 Question Probabilities What is the probability of rolling an even number on a regular die and spinning a 4 on a spinner that has four equal sections?

$200 Answer from Probabilities 1/2 • 1/4 = 1/8 or 0.125

$300 Question from Probabilities What is the probability of rolling a 3 or 6 on a die, 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 or 0.028

$400 Question from Probabilities On a single die, what is the probability of rolling a 6 three times in a row?

$400 Answer from Probabilities 1/6• 1/6 • 1/6 = 1/216 or 0.0046

$500 Question from Probabilities Two cards are randomly selected from a standard deck of 52 cards. Find the probability of getting a five and then a six.

$500 Answer from Probabilities 4/52 • 4/51 = 4/663 or 0.006

$100 Question from Permutations and Combinations How many ways can 6 students be arranged in a line at the door?

$100 Answer from Permutations and Combinations 6 • 5 • 4 • 3 • 2 • 1 Or 6P6 = 720 ways

$200 Question from Permutations and Combinations In how many ways can a 5 card hand be chosen from a standard deck of 52 cards?

$200 Answer from Permutations and Combinations 52C5 = 2,598,960 ways

$300 Question from Permutations and Combinations 6 track runners are in the finals. How many ways can 1st, 2nd, and 3rd place be awarded?

$300 Answer from Permutations and Combinations 6P3 = 6 • 5 • 4 = 120

$400 Question from Permutations and Combinations How many different 4-digit lock combinations can you make with the digits 0-5, with no repeating digits?

$400 Answer from Permutations and Combinations 6P4 = 6 • 5 • 4 • 3 = 360 combos

$500 Question from Permutations and Combinations Find the number of 5 card hands in a deck that contain 2 sixes and 3 face cards.

$500 Answer from Permutations and Combinations 4C2 • 12C3 = 6 • 220 = 1,320 hands

$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 die, 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 There is a test with 6 multiple choice questions and 4 true false questions. Each multiple choice question has 4 possible answers. How many different choices for answering the 10 questions are possible?

$400 Answer from Outcomes 65,536 ways (4 • 4 • 4 • 4 • 4 • 4 ) • (2• 2 • 2 • 2)

$500 Question Outcomes How many different 10 digit phone numbers are possible if the first number has to be a 6? Digits can be repeated.

$500 Answer from Outcomes 1,000,000,000 numbers 1 • 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10 • 10

$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 A or Blue? A D A C B A

$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 dice. 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 probability that this coin will land on HEADS the next flip?

$300 Answer from Potpourri

$400 Question from Potpourri A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement.What is the probability that the first marble drawn is red and the second marble drawn is blue?

$400 Answer from Potpourri 3/7 • 4/6 = 12/42 = 2/7

$500 Question from Potpourri The probability of event A happening is 0.10. The probability of event B happening is 0.62. The probability of A or B happening is 0.68. What is the probability of A and B happening?

Fun with Probabilities: Dice, Cards, and Coin Flips