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)
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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
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Topic 1: 1000• Question:• Find the odds against picking a day of the
week that begins with T.• Answer• 5/2
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Topic 2: 200• Question:• Kayla flipped a coin 30 times. She got 18
heads. Find P(tails).• Answer• 12/30 = 2/5
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Topic 2: 400• Question:• Use the line plot to answer the question.
• Find P(Monday)• Answer• 6/25
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Topic 5: 200• Question:• Find 7!• Answer• 5040
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Topic 5: 400• Question:• Find 6P4
• Answer• 6 x 5 x 4 x 3 = 360
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Topic 5: 600• Question:• Find 7C3
• Answer• (7 x 6 x 5) / (3 x 2 x 1) = 210/6 = 35
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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
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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
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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!
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