1. Jeopardy
Sample Space & Probability
Independence
Two-Way Frequency Tables
Counting Principles
A little bit of everything
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2. Sample Space & Probability for 100
List the elements of the sample space in set notation:
What is
{Red, White, Grey)?
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3. Sample Space & Probability for 200
Which of the following is not a valid value for probability? a) 0.4 b) 99% c) 7/3 d) 0
What is C?
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4. Sample Space & Probability for 300
Determine if the event is:
Impossible,
Unlikely,
Equally Likely,
Likely, or
Certain to Happen.
Selecting a spade from a deck of cards.
What is Unlikely?
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5. Sample Space & Probability for 400
Given a bag of marbles, what is the: P(Black)=____ P(White)=____ P(Swirl)=____
What is 2/5, 2/5, and 1/5?
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6. Sample Space & Probability for 500
Given the Universal set, set U= {1,2,3,4,5,6,7,8,9,10} Set M = multiples of 3 Set N = numbers less than 7 What is the P(M|N)? ______
What is 2/3?
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7. Independence for 100 What is Independent ?
Determine if the two events are independent or dependent of each other? Event #1: Picking a Blue Marble Event #2: Rolling a 3
What is Independent ?
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8. Independence for 200 What is 0.2? If A and B are independent and
P(A)=0.4
P(B)=0.5
What is P(A∩B)?
What is 0.2?
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9. What is P(A)*P(B)=P(A∩B)
Independence for 300
Write down IN FULL the two possible tests for independence:
What is P(A)*P(B)=P(A∩B)
and
P(A|B)=P(A)?
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10. Independence for 400 What is Independent?
Determine if the following events are independent or dependent.
What is Independent?
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11. Independence for 500 What is = = and NO (dependent)?
P(A∩B) = 0.25 P(A) = 0.4 P(B) = 0.5 P(B|A) = ______ Are they independent?
What is = =
and NO (dependent)?
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12. Two Way Frequency Tables for 100
62 people were interviewed about whether they had an iPhone and iPad. 30 had an iPhone but not an iPad, 12 had neither, and 14 had both.
What is ?
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13. Two Way Frequency Tables for 200
The boys and girls of a class were surveyed about whether they like to swim or ski. The two way table shows the results of the survey.
How many students in the class? _____
How many boys in the class? _____
How many students like to ski? _____
How many girls don’t like to swim? _____
What is 28, 16, 15, and 5?
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14. Two Way Frequency Tables for 300
The following relative frequency table was created from the data gathered from a survey about favorite colors.
What is the P(Blue)? _____
What is the P(Male ∩ Green)? _____
What is the P(Female ∩Redc)? _____
What is 0.24, 0.14, and 0.28 ?
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15. Two Way Frequency Tables for 400
The class had been surveyed about who had been to Canada, Europe, or both. The two way frequency table shows the results of the survey. What is the P(Canada U Europe)?
What is 27/34?
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16. Two Way Frequency Tables for 500
Boys and Girls in a class were surveyed about whether they Pizza, Burgers, or both. The results are in the table. What is the P(Girl|Burger)? What is the P(Burger|Girl)?
What is 10/12
& 10/18?
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17. Counting Principles for 100
Use the FCP to determine the sample space size: To get to her class from outside the school there are 5 different doors to enter and then 2 different staircases to use.
What is 10?
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18. Counting Principles for 200
A police lineup of 5 suspects is being created. How many different ways can you arrange these 5 people?
What is 5P5=5!=120?
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19. Counting Principles for 300
10 Standbys are hoping to get on a plane. If there is room for only 4 to make it on the flight. How many different groups of 4 could be formed?
What is 10C4= ?
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20. Counting Principles for 400
What is the formula for Permutations? What is the formula for Combinations?
What is & ?
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21. Counting Principles for 500
There are 10 men and 8 women in a class. The teacher wants to make a group of 2 men and 3 women to do a presentation on probability. How many possible arrangements could there be?
What is 10C2*8C3 = 45*56 = 2,520 ?
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22. A Little Bit of Everything for 100
P (AUB) = 0.7 P(B ∩Ac) = 0.2 P(A) = _________
What is 0.5?
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23. A Little Bit of Everything for 200
The sample space is the natural numbers less than 11. Set A = even numbers Set B = Factors of 16 What is Set A ∩ Set B? _____
What is {2,4,8}?
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24. A Little Bit of Everything for 300
Draw a Venn Diagrams of 2 intersecting sets. Shade (A U B)c
What is ?
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25. A Little Bit of Everything for 400
Consider a standard deck of cards.
Number Cards = 2-10
1. P(8 | Number Card)= ______
2. What is the probability of picking a 5 and then a Queen without replacement? ________
What is 1/9 & (1/13)*(4/51) = 4/663?
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26. A Little Bit of Everything for 500
If there are 8 students to present their projects in class. Student A insists on going first and Student B insists on going second. If the teacher allows student A & B to go 1st & 2nd, how many different ways are there to organize the order of the other students?
What is 6!=720 ?
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