Type:

Curriculum

Description:

False Positive Test ResultsA certain test for mononucleosis has a 99% chance of correctly diagnosing a patient with mononucleosis and a 5% chance of misdiagnosing a patient who does not have the infection. Suppose the test is given to a group where 1% of the people have mononucleosis. If a randomly selected patient's test result is positive, what is the probability that she has mononucleosis? Explain.An exercise, commentary, and solution from Illustrative Mathematics

Subjects:

  • Mathematics > General
  • Mathematics > Geometry

Education Levels:

  • Grade 9
  • Grade 10

Keywords:

Multiplication Rule probability

Language:

English

Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution Non-Commercial Share Alike

Collections:

Teacher Resources
Update Standards?

CCSS.Math.Practice.MP1: Common Core State Standards for Mathematics

Make sense of problems and persevere in solving them.

CCSS.Math.Practice.MP2: Common Core State Standards for Mathematics

Reason abstractly and quantitatively.

CCSS.Math.Practice.MP4: Common Core State Standards for Mathematics

Model with mathematics.

CCSS.Math.Practice.MP5: Common Core State Standards for Mathematics

Use appropriate tools strategically.

CCSS.Math.Practice.MP6: Common Core State Standards for Mathematics

Attend to precision.

CCSS.Math.Content.HSS-CP.B.8: Common Core State Standards for Mathematics

(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.
Curriki Rating
'C' - Curriki rating
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