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Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________ 1 Set Theory and Sample Space Assignment

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Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

1

Set Theory and Sample Space Assignment

Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

2

Theoretical and Experimental Probability Assignment

Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

3

Geometric Probability Assignment

Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

4

Geometric Probability Review Assignment

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Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

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Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

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Independent and Dependent Events Assignment

Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

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Mutually Exclusive Events Assignment

Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

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Conditional Probability and Two-Way Tables Assignment 1. In order to study the connection between the amount of sleep a student gets and his or her school performance, data was collected about 120 students. The two-way table shows the number of students who passed and failed an exam and the number of students who got more or less than 6 hours of sleep the night before.

a. To the nearest percent, what is the probability that a student who failed the exam got less than 6 hours of sleep? b. To the nearest percent, what is the probability that a student who got less than 6 hours of sleep failed the exam? c. To the nearest percent, what is the probability that a student got less than 6 hours of sleep and failed the exam?

2. A botanist studied the effect of a new fertilizer by choosing 100 orchids and giving 70% of these plants the fertilizer. Of the plants that got the fertilizer, 40% produced flowers within a month. Of the plants that did not get the fertilizer, 10% produced flowers within a month. Find each probability to the nearest percent. (Hint: Construct a two-way table.) a. Find the probability that a plant that produced flowers got the fertilizer. b. Find the probability that a plant that got the fertilizer produced flowers. 3. At a school fair, a box contains 24 yellow balls and 76 red balls. One-fourth of the balls of each color are labeled “Win a prize.” Find each probability as a percent. a. Find the probability that a ball labeled “Win a prize” is yellow. b. Find the probability that a ball labeled “Win a prize” is red. c. Find the probability that a ball is labeled “Win a prize” and is red. d. Find the probability that a yellow ball is labeled “Win a prize.”

In Exercises 4–6 consider a standard deck of playing cards and the following events: A: the card is an ace; B: the card is black; C: the card is a club. Find each probability as a fraction. 4. P(A | B)

5. P(B | A)

6. P(A | C)

Passed Exam

Failed Exam TOTAL

Less than 6 hours of sleep 12 10 22

More than 6 hours of sleep 90 8 98

TOTAL 102 18 120

Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

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More Probability Review Assignment

1. What is the probability of randomly selecting an individual that is a boy that eats Chinese Food? 2. What is the probability of randomly selecting an individual that is a boy? 3. What is the probability of randomly selecting an individual that eats Chinese Food? 4. What is the probability of randomly selecting an individual who is a boy that does not eat Chinese Food? 5. What is the probability that a randomly selected person is a girl that eats Chinese Food? 6.If you randomly selected a person from the girls only, what is the probabilty she did not eat Chinese Food?

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Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

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Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

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Review of Probability Assignment

Sample Space: 1) Can you describe the sample space for a deck of cards? 2 3 4 5 6 7 8 9 10 J Q K A § ª 5ª © J© ¨ Probability: What is the probability of the following event P(Event)? Write your answer as a simplified fraction and as a percent. (§,ª are black, ©, ¨ are red) 2) P(red) __________ __________ 3) P(¨) __________ __________ 4) P(7) __________ __________ 5) P(Face Card) __________ __________ 6) P(card < 7) ________ __________ 7) P(K) __________ ___________ Write your own problems: 8) P( ) __________ __________ 9) P( ) __________ __________

Geometry Unit 12 Assignments Name ________________________ Period ______ Date _____________

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The following letters are written on index cards and placed in a bag.

REED HIGH SCHOOL A letter is picked at random and replaced. 10) How many outcomes are possible? ________________ 11) What is the probability that the letter is a vowel? __________ __________ 12) that the letter is an E? __________ __________ 13) that the letter is a H? __________ __________ There is a jar of marbles with 7 blue, 5 yellow, a red, and 2 blacks. If one marble is picked and replaced, find the probability of picking: 14) a yellow __________ __________ 15) a blue __________ __________ Find the probability a point is chosen at random will be in the shaded region. 61. 17. 18. 19. 20. 21.

16 cm

10 cm3 m

3m5 in 2 in

13 in

6 in

5 in

3 ft

4.5 ft

9 ft

12 ft3 in

12 in

6 in

2 in