Conditional Probability a random survey was taken to gather information about grade level and car ownership status of students at a school. This table shows the results of the survey. Write your answer as a reduced fraction



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GSE Geometry Unit 7 – Probability 7.5 – Homework

Name: ___________________________________________ Date: ____________________________

Conditional Probability

A random survey was taken to gather information about grade level and car ownership status of students at a school. This table shows the results of the survey. Write your answer as a reduced fraction.


Car Ownership by Grade




Owns a Car

Does Not Own a Car

TOTAL

Junior

6

10

16

Senior

12

8

20

TOTAL

18

18

36



  1. Find the probability that a randomly selected student will be a junior, given that the student owns a car.



  1. Find the probability that a randomly selected student will own a car, given that the student is a senior.


The table below shows numbers of registered voters by age in the United States in 2004 based on the census. Find each probability in decimal form, 2 places.


Age

Registered Voters
(in thousands)


Not Registered to Vote
(in thousands)





18–24

14,334

13,474



25–44

49,371

32,763




45–64

51,659

19,355




65 and over

26,706

8,033
















  1. Find the probability that a randomly selected person is registered to vote, given that the person is between the ages of 18 and 24.



  1. Find the probability that a randomly selected person is not registered to vote, given that they are 65 and over.



  1. Find the probability that a randomly selected person is between the ages of 45 and 64 and is not registered to vote.



A faculty advisor at Ridge High School surveyed 100 students about their preference for a social event. Of the 100 students surveyed, 50 were tenth graders and 50 were eleventh graders. Of the tenth graders, 30 chose a bowling party and 20 chose a dance. Of the eleventh graders, 20 chose a bowling party and 30 chose a dance.


  1. Make a two way frequency table to represent the data.










Bowling (B)

Dance (D)




10th graders (T)









11th graders (E)



























  1. Find P(B). Write your answer as a reduced fraction.



  1. Find P(B|T). Write your answer as a reduced fraction.


  1. Based on your answers on #7 & 8, do you think that the probability of liking bowling is dependent (different answers) on whether a student is in the 10th or 11th grade?



After growing tired of squinting while driving, Dwayne went shopping for a pair of sunglasses. He tried on glasses with different frames and lenses. He tried on 15 pairs of glasses, 8 that were cat eye frames and 7 that were browline frames. 2 of the cat eye frames were polarized lenses. He also tried on 10 regular lenses.

  1. Make a two-way frequency table to represent the data.










Polarized (P)

Regular (R)




Cat Eye (C)









Browline (B)



























  1. What is the probability that a randomly selected pair of sunglasses has regular lenses, given that the pair of sunglasses has cat eye frames?


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