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1. How many permutations are possible of the letters in the word
secret?
2. Julie, Dan, Janet, Kevin, and Michael all enter a contest. Two
names are pulled out of a hat one at a time. In how many ways
can the contest winners be selected?
3. A child has the magnetic letters, V, O, L, E. In how many ways
can the letters be arranged?
4. Carlos, Sierra, and Nicole go to the movies and sit in a row of
three seats. How many seating arrangements are possible?
5. In how many ways can a football coach arrange the first five
players in a lineup of eleven players?
Course 2, Lesson 9-7
ANSWERS
1. 720
2. 20
3. 24
4. 6
5. 55, 440
Course 2, Lesson 9-7
Statistics and Probability
HOW can you predict
the outcome of future events?
Course 2, Lesson 9-7
Statistics and Probability
• 7.SP.8
Find probabilities of compound events using organized lists, tables,
tree diagrams, and simulation.
• 7.SP.8a
Understand that, just as with simple events, the probability of a
compound event is the fraction of outcomes in the sample space for
which the compound event occurs.
• 7.SP.8b
Represent sample spaces for compound events using methods
such as organized lists, tables and tree diagrams. For an event
described in everyday language (e.g., “rolling double sixes”), identify
the outcomes in the sample space which compose the event.
Course 2, Lesson 9-7
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Statistics and Probability
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.
Course 2, Lesson 9-7
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Statistics and Probability
• To find the probability of
independent events
• To find the probability of
dependent events
Course 2, Lesson 9-7
Statistics and Probability
• independent events
• dependent events
Course 2, Lesson 9-7
Statistics and Probability
Words
The probability of two independent events can be
found by multiplying the probability of the first event
by the probability of the second event.
Symbols
P(A and B) = P(A) • P(B)
Course 2, Lesson 9-7
Statistics and Probability
Words
If two events A and B are dependent, then the
probability of both events occurring is the product of
the probability of A and the probability of B after A
occurs.
Symbols
P(A and B) = P(A) • P(B following A)
Course 2, Lesson 9-7
Geometry
Statistics and Probability
How did what you learned
today help you answer the
HOW can you predict
the outcome of future events?
Course 2, Lesson 9-7
Geometry
Statistics and Probability
How did what you learned
today help you answer the
HOW can you predict
the outcome of future events?
Sample answers:
• To find the probability of independent events, like
rolling a number cube and randomly selecting a marble
• To find the probability of dependent events, like
randomly selecting two marbles without replacing the
first marble
Course 2, Lesson 9-7
Ratios and
Proportional
Relationships
Functions
Statistics
and Probability
Explain how to determine
the probability of two
independent events occurring.
Course 2, Lesson 9-7