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```S.CP.1-5
2011
Domain Statistics and Probability
Cluster Understand independence and conditional probability and use them to interpret data
Standards
1. Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions,
intersections, or complements of other events (“or,” “and,” “not”).
2. 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.
3. 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.
4. Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the
two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect
data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the
probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same
for other subjects and compare the results.
5. Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For
example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.
Essential Questions


Enduring Understandings

How can probability be
used to predict the
outcome of an event?
How can the concepts
of probability be
applied to real life
situations?


Students will understand
how to organize data and
identify sample space using
frequency tables.
Students will understand
how to measure the
likelihood that an event will
occur.
Students will understand
how the outcome of one
event can affect the
probability of another event.
Activities, Investigation, and Student Experiences
1. Sample Lessons, Examples and Classwork
S.CP.1-5
Content Statements







Students will be able to
define a sample space and
events within the sample
space.
Students will be able to
identify subsets from
sample space when given
defined events, including
unions, intersections and
complements of events.
Students will be able to
identify two events as
independent or not.
Students will be able to
explain properties of
Independence and
Conditional Probabilities
in context and simple
English.
Students will be able to
define and calculate
conditional probabilities.
Students will be able to
use the Multiplication
Principal to decide if two
events are independent
and to calculate
conditional probabilities.
Students will be able to
construct and interpret
two-way frequency tables
of data for two categorical
variables and calculate
probabilities from the
2011
S.CP.1-5

table. They will also be
able to use probabilities
from the table to evaluate
independence of two
variables.
Students will be able to
recognize and explain the
concepts of independence
and conditional
probability in everyday
situations.
Assessments

Student Participation

Questioning

Quizzes (Teacher Given and Self Quizzes)

Benchmark/Test

Homework
Equipment Needed:





SMARTboard
Projector
Paper and pencil
Calculator (Graphing and Scientific)
Ruler
Teacher Resources:
1. Click here for Resource Folder.
2011
S.CP.1-5
2011
```