probability jeopardy final jeopardy probabilities permutations outcomes spinners potpourri q $100 q...

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Probability Jeopardy Final Jeopardy Probabili ties Permutation s 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

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Page 1: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

Probability Jeopardy

Final Jeopardy

ProbabilitiesPermutations

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

Page 2: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question Probabilities

A number cube is rolled and a penny tossed.

What is the probability of rolling a 2 and tossing a

tail?

Page 3: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

•$100 Answer Probabilities

1/6 1/2 = 1/12 •

Page 4: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$200 Question Probabilities

What is the probability of rolling an even number and spinning a 4 on a spinner

that has four equal sections?

Page 5: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from Probabilities

1/2 • 1/4 = 1/8

Page 6: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$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?

Page 7: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from Probabilities

1/3 • 1/2 • 1/6 = 1/36

Page 8: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$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)

Page 9: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from Probabilities

1/4 • 4/19 = 4/76 = 1/19

Page 10: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$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)

Page 11: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$500 Answer from Probabilities

2/5 • 2/3 = 4/15

Page 12: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from Permutations

How many ways can 6 students be arranged in

a line at the door?

Page 13: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$100 Answer from Permutations

6! = 6 • 5 • 4 • 3 • 2 • 1= 720

Page 14: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$200 Question from Permutations

Calculate 7!

Page 15: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from Permutations

7 • 6 • 5 • 4 • 3 • 2 • 1

= 5,040

Page 16: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$300 Question from Permutations

6 track runners are in the finals. How many ways can

1st, 2nd, and 3rd place be awarded?

Page 17: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from Permutations

P(6,3) = 6 • 5 • 4 = 120

Page 18: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$400 Question from Permutations

How many ways can 15 students on student council be

elected President, Vice-President, and

Treasurer?

Page 19: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from Permutations

P(15,3) = 15• 14• 13 = 2,730

Page 20: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$500 Question from Permutations

How many different 4-digit lock combinations can you make with the digits 0-5, with no repeating digits?

Page 21: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$500 Answer from Permutations

P(6,4) = 6 • 5 • 4 • 3 = 360

Page 22: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$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?

Page 23: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$100 Answer from Outcomes

4 • 3 = 12

Page 24: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$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?

Page 25: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from Outcomes

2 • 6 • 4 = 48

Page 26: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$300 Question OutcomesYou 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 StrawberriesCandy: Sprinkles, M&M’s, or Oreos

Page 27: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from Outcomes

4 • 3 • 3 = 36

Page 28: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$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?

Page 29: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from Outcomes

18(2 • 3 • 3)

Page 30: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$500 Question OutcomesMrs. 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?

Page 31: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$500 Answer from Outcomes

5 • 6 = 30

Page 32: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from SpinnersWhat is the probability of the following spinner landing on Longitude?

Page 33: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$100 Answer from Spinners

1/3

Page 34: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$200 Question from Spinners

What is the probability of the following spinner landing on blue or red?

Page 35: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from Spinners

5 = .625

8

Page 36: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$300 Question from SpinnersWhat is the probability 1 spin of the following spinner landing on yellow and red?

Page 37: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from Spinners

0

Page 39: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from Spinners

2 1.25

8 4

Page 41: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$500 Answer from Spinners

3.375

8

Page 42: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from Potpourri

What is the probability ofgetting a heads OR a tails

when flipping a coin?

Page 43: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$100 Answer from Potpourri

1

Page 44: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$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?

Page 45: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from Potpourri

1/6 • 1/2 = 1/12

Page 46: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$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?

Page 47: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from Potpourri

45 9.45

100 20

Page 48: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$400 Question from Potpourri

Find the value of 9!

Page 49: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from Potpourri

9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 = 362,880

Page 50: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$500 Question from Potpourri

In a marathon consisting of 50 people, how many

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

Page 51: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

$500 Answer from Potpourri

P(50,3) = 50 • 49 • 48

= 117,600

Page 52: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

Final JeopardyWhat is the probability that the 1st spin of the spinner below would land on RED and the 2nd spin would land on YELLOW?

Page 53: Probability Jeopardy Final Jeopardy Probabilities Permutations Outcomes Spinners Potpourri Q $100 Q $200 Q $300 Q $400 Q $500

Final Jeopardy Answer

1/4 • 1/8 = 1/32(The spinner is divided into 8ths.)