Unit

Description:

Students use the complement rule to calculate the probability of the complement of an event and the multiplication rule for independent events to calculate the probability of the intersection of two independent events.Students recognize that two event A and B are independent if and only if P(A and B) = P(A)P(B) and interpret independence of two events A and B as meaning that the conditional probability of A given B is equal to P(A).Students use the formula for conditional probability to calculate conditional probabilities and interpret probabilities in context.Teacher and Student versions of full lesson from engageNY

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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