Question

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: 22 reported relief from drug A 22 reported relief from drug B 31 reported relief from drug C 6 reported relief from both drugs A and B 13 reported relief from both drugs A and C 14 reported relief from both drugs B and C 44 reported relief from at least one of the drugs Note that some of the 22 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? 2 (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 numbers for all eight regions of the following diagram: Sample of Students (d) How many subjects got relief from drug A only?

          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:
22 reported relief from drug A
22 reported relief from drug B
31 reported relief from drug C
6 reported relief from both drugs A and B
13 reported relief from both drugs A and C
14 reported relief from both drugs B and C
44 reported relief from at least one of the drugs
Note that some of the 22 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?
2
(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 numbers for all eight regions of the following diagram:
Sample of Students
(d) How many subjects got relief from drug A only?

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:
22 reported relief from drug A
22 reported relief from drug B
31 reported relief from drug C
6 reported relief from both drugs A and B
13 reported relief from both drugs A and C
14 reported relief from both drugs B and C
44 reported relief from at least one of the drugs
Note that some of the 22 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?
2
(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 numbers for all eight regions of the following diagram:
Sample of Students
(d) How many subjects got relief from drug A only?

Added by Emilia W.

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