A study was done to determine the efficacy of three different drugs-A. B. and C-in relieving headache pain. Over the period covered by the study, 50 subjects were given the chance to use all three drugs. The following results were obtained: c. Let A be the set of all subjects who got relief from drug A. B the set of all subjects who got relief from drug B., and C the set of all subjects who got relief from drug C. Fill in the number for all eight regions of the following diagram. 21 reported relief from drug A 21 reported relief from drug B 31 reported relief from drug C 9 reported relief from both drugs A and B 14 reported relief from both drugs A and C 15 reported relief from both drugs B and C 41 reported relief from at least one of the drugs Note that some of the 21 subjects who reported relief from drug A may also have reported relief from drugs B or C. A similar occurrence may be Sample of Subjects d. How many subjects got relief from A only? true for the other data. a. How many people got relief from none of the drugs? b. How many people got relief from all three drugs?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
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c. Let A be the set of all subjects who got relief
from drug A. B the set of all subjects who got
relief from drug B, and C the set of all subjects
who got relief from drug C. Fill in the number
for all eight regions of the following diagram.
A study was done to determine the efficacy of
three different drugs-A. B. and C-in relieving
headache pain. Over the period covered by the
study, 50 subjects were given the chance to use all
three drugs. The following results were obtained:
21 reported relief from drug A
21 reported relief from drug B
31 reported relief from drug C
9 reported relief from both drugs A and B
14 reported relief from both drugs A and C
15 reported relief from both drugs B and C
41 reported relief from at least one of the drugs
Note that some of the 21 subjects who reported
relief from drug A may also have reported relief
from drugs B or C. A similar occurrence may be
true for the other data.
a. How many people got relief from none of the
drugs?
b. How many people got relief from all three
drugs?
Sample of Subjects
d. How many subjects got relief from A only?
Transcribed Image Text:c. Let A be the set of all subjects who got relief from drug A. B the set of all subjects who got relief from drug B, and C the set of all subjects who got relief from drug C. Fill in the number for all eight regions of the following diagram. A study was done to determine the efficacy of three different drugs-A. B. and C-in relieving headache pain. Over the period covered by the study, 50 subjects were given the chance to use all three drugs. The following results were obtained: 21 reported relief from drug A 21 reported relief from drug B 31 reported relief from drug C 9 reported relief from both drugs A and B 14 reported relief from both drugs A and C 15 reported relief from both drugs B and C 41 reported relief from at least one of the drugs Note that some of the 21 subjects who reported relief from drug A may also have reported relief from drugs B or C. A similar occurrence may be true for the other data. a. How many people got relief from none of the drugs? b. How many people got relief from all three drugs? Sample of Subjects d. How many subjects got relief from A only?
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