Probability Theoretical Probability Experimental Probability Sample Space and Counting Principle Independent and Dependent Events Permutations and Combinations.

ProbabilityTheoretical Probability

Experimental Probability

Sample Space and Counting Principle

Independent and Dependent Events

Permutations and Combinations

200 200 200 200 200

400 400 400 400 400

600 600 600 600 600

800 800 800 800 800

1000 1000 1000 1000 1000

Bonus Question: 5000 pts

Topic 1: 200• Question:– You have a set of cards numbered 1-12. Find the

probability of selecting a multiple of 4.• Answer• 3/12 = 1/4

Back

Topic 1: 400• Question:– You have a set of cards numbered 1-12. Find the

probability of selecting a prime number.• Answer• 5/12 (2, 3, 5, 7, 11 are prime)

Back

Topic 1: 600• Question:• You have a set of cards numbered 1-12. Find the

probability of selecting a multiple of 3 or multiple of 4.

• Answer• 6/12 = 1/2 (3, 4, 6, 8, 9, 12)

Back

Topic 1: 800• Question:• You have a set of cards numbered 1-12. Find the

probability of selecting a multiple of 3 and 4.• Answer• 1/12

Back

Topic 1: 1000• Question:• Find the odds against picking a day of the

week that begins with T.• Answer• 5/2

Back

Topic 2: 200• Question:• Kayla flipped a coin 30 times. She got 18

heads. Find P(tails).• Answer• 12/30 = 2/5

Back

Topic 2: 400• Question:• Use the line plot to answer the question.

• Find P(Monday)• Answer• 6/25

Back

Topic 2: 600• Question:• Use the line plot to answer the question.

• Find P(weekend)• Answer• 7/25

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Topic 2: 800• Question:• Use the line plot to answer the question.

• Based on this data, how many kids would you expect to have birthdays on Tuesday if you sampled 100 kids?

• Answer• 20 kids

Back

Topic 2: 1000• Question:• You roll 2 coins 100 times and get the following

results: – Two heads = 27– One heads, and one tails = 48– Two tails = 25

• For which of these outcomes is the experimental probability the same as the theoretical probability?

• Answer• Two tails

Back

Topic 3: 200• Question:• List the sample space for selecting a month of

the year at random.• Answer• Jan, Feb, Mar, Apr, May, Jun, Jul, Aug, Sept,

Oct, Nov, Dec

Back

Topic 3: 400• Question:• Show the sample space for spinning the

spinner and rolling a number cube.

• Answer• B1, B2, B3, B4, B5, B6, G1, G2, G3, G4, G5, G6,

Y1, Y2, Y3, Y4, Y5, Y6, R1, R2, R3, R4, R5, R6Back

Topic 3: 600• Question:• How many different gelatis can you order from

Rita’s if there are 8 water ice flavors, 2 custard flavors, and 3 size choices?

• Answer• 48

Back

Topic 3: 800• Question:• How many ways can 5 runners finish a race?• Answer• 5! = 5 x 4 x 3 x 2 x 1 = 120

Back

Topic 3: 1000• Question:• How many different ways can the letters of

MADISON be arranged if 4 letters are chosen at a time?

• Answer• 7 x 6 x 5 x 4 = 840

Back

Topic 4: 200• Question:• You have a bag of Skittles with 4 green, 3

orange, 1 red, and 2 yellow. You pick two with replacement.

• Find P(green, then yellow)• Answer• 4/10 x 2/10 = 8/100 = 2/25

Back

Topic 4: 400• Question:• You have a bag of Skittles with 4 green, 3

orange, 1 red, and 2 yellow. You pick two with replacement.

• Find P(not red, red)• Answer• 9/10 x 1/10

Back

Topic 4: 600• Question:• You have a bag of Skittles with 4 green, 3

orange, 1 red, and 2 yellow. You pick two without replacement.

• Find P(yellow, orange)• Answer• 2/10 x 3/9 = 6/90 =1/15

Back

Topic 4: 800• Question:• You have a bag of Skittles with 4 green, 3

orange, 1 red, and 2 yellow. You pick two without replacement.

• Find P(green, then green)• Answer• 4/10 x 3/9 = 12/90 = 2/15

Back

Topic 4: 1000• Question:• You take a 4 question True/False quiz. What is

the probability that you get all four questions correct if you guess on all of them?

• Answer• ½ x ½ x ½ x ½ = 1/16

Back

Topic 5: 200• Question:• Find 7!• Answer• 5040

Back

Topic 5: 400• Question:• Find 6P4

• Answer• 6 x 5 x 4 x 3 = 360

Back

Topic 5: 600• Question:• Find 7C3

• Answer• (7 x 6 x 5) / (3 x 2 x 1) = 210/6 = 35

Back

Topic 5: 800• Question:• You order a hot fudge sundae with 3 toppings

from a menu with 7 toppings. How many sundaes are possible?

• Answer• (7 x 6 x 5) / (3 x 2 x 1) = 35

Back

Topic 5: 1000• Question:• You have 5 chores to do when you get home.

In how many different ways can you do them?• Answer• 5 x 4 x 3 x 2 x 1 = 120

Back

Bonus Question: 5000 pts.

• Question:• How many different ways are there to arrange

the letters of TRIDICO?• Answer• (7 x 6 x 5 x 4 x 3 x 2 x 1) / (2 x 1) = 2520

Back

Daily Double

The Winner Of The Last RoundWrite Down How Much Money

You Are Willing To RiskIf You get the Question write you win that money

If you get it wrong you Loss the money!

Daily Double

The Winner Of The Last RoundWrite Down How Much Money

You Are Willing To RiskIf You get the Question write you win that money

If you get it wrong you Loss the money!