15. A jar contains 36 disks: 9 each of four colors - red, green, blue, and yellow. Each set of disks of the same color is numbered from 1 to 9. Suppose you draw one disk at a random from the jar. Define events B: get a blue disk, and E: get a disk with number 8. a) Make a two-way table that describes the sample space in terms of events B and E. b) Find P(B) and P(E). c) Write the event "blue eight" in symbolic form. Then find the probability of this event. d) Explain why P(BUE) # P(B) + P(E). Then use the general addition rule to compute P(BUE).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section0.11: Simple Probability And Odds
Problem 13E
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15. A jar contains 36 disks: 9 each of four colors - red, green, blue, and yellow. Each set of disks of the same color is
numbered from 1 to 9. Suppose you draw one disk at a random from the jar. Define events B: get a blue disk, and
E: get a disk with number 8.
a) Make a two-way table that describes the sample space in terms of events B and E.
b) Find P(B) and P(E).
c) Write the event "blue eight" in symbolic form. Then find the probability of this event.
d) Explain why P (BU E) # P(B) + P(E). Then use the general addition rule to compute P(BU E).
19. A national survey interviewed several thousand teens in grades 7 through 12. One question was "What do you
think are the chances you will be married in the next 10 years?" Here is a segmented bar chart of the responses by
gender. Use the graph to discuss if there is an association between gender and responses to this question.
Percent
100
80-
60
40
20-
0
Female Male
Almost certain
A good chance
A 50-50 chance
Some chance, probably not
■Almost no chance
Transcribed Image Text:15. A jar contains 36 disks: 9 each of four colors - red, green, blue, and yellow. Each set of disks of the same color is numbered from 1 to 9. Suppose you draw one disk at a random from the jar. Define events B: get a blue disk, and E: get a disk with number 8. a) Make a two-way table that describes the sample space in terms of events B and E. b) Find P(B) and P(E). c) Write the event "blue eight" in symbolic form. Then find the probability of this event. d) Explain why P (BU E) # P(B) + P(E). Then use the general addition rule to compute P(BU E). 19. A national survey interviewed several thousand teens in grades 7 through 12. One question was "What do you think are the chances you will be married in the next 10 years?" Here is a segmented bar chart of the responses by gender. Use the graph to discuss if there is an association between gender and responses to this question. Percent 100 80- 60 40 20- 0 Female Male Almost certain A good chance A 50-50 chance Some chance, probably not ■Almost no chance
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