Curriculum

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Independent, Conditional, and Mutually Exclusive EventsFreezy's Ice Cream Stand doesn't think it has enough information to decide if it should add Pumpernickel Brickel or Dandy Cotton Candy to its menu. Therefore, it conducts another poll of its customers. It finds that the probability that a customer will like both flavors is 0.33 and the probability that a customer will like the Cotton Candy flavor is 0.8. What is the probability a customer will like the Pumpernickel flavor?Lesson, videos, exercises, and text from CK-12. Additional resources available at this site.

Subjects:

• Mathematics > General
• Mathematics > Geometry

Keywords:

dependent probability independent.

English

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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.MP3: Common Core State Standards for Mathematics

Construct viable arguments and critique the reasoning of others.

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.Practice.MP7: Common Core State Standards for Mathematics

Look for and make use of structure.

CCSS.Math.Practice.MP8: Common Core State Standards for Mathematics

Look for and express regularity in repeated reasoning.

CCSS.Math.Content.HSS-CP.A.2: Common Core State Standards for Mathematics

Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

CCSS.Math.Content.HSS-CP.A.3: Common Core State Standards for Mathematics

Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.
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