Other

#### Description:

This lesson is designed to develop students' understanding of sampling with and without replacement and its effects on the probability of drawing a desired object. The lesson provides links to discussions and activities related to replacement and probability as well as suggested ways to work them into the lesson. Finally, the lesson provides links to follow-up lessons that are designed to be used in succession with the current one.

#### Subjects:

• Mathematics > General

#### Keywords:

Informal Education,Middle School,NSDL,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-016,High School,oai:nsdl.org:2200/20120614151516451T,Vocational/Professional Development Education,High School Programming,Mathematics,Middle School Programming

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

None
Update Standards?

#### CCSS.Math.Content.7.SP.C.5: Common Core State Standards for Mathematics

Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

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

Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.

#### CCSS.Math.Content.HSS-IC.B.3: Common Core State Standards for Mathematics

Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.

#### 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.B.6: Common Core State Standards for Mathematics

Find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model.

#### CCSS.Math.Content.HSS-MD.A.1: Common Core State Standards for Mathematics

(+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.

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

(+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.

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

(+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value.

#### CCSS.Math.Content.HSS-MD.B.6: Common Core State Standards for Mathematics

(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
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