MA19.FM.9

Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.9
Use various counting techniques to determine probabilities of events.

Unpacked Content

Knowledge

Students know:

Probability.
Permutations and Combinations.
Tree diagrams.

Skills

Students are able to:

Use a tree diagram or other systematic listing method to determine the number of possible outcomes in an application-based problem.
Use combinations and permutations to count the number of possible outcomes in an application -based problem.
Determine the probability of an event.

Understanding

Students understand that:

Solving probability in a discrete setting requires first applying combinatorial reasoning and counting techniques to determine the size of the event of interest.
Some events consist of a sequence of (or partition into) smaller events that may be independent or dependent.

Vocabulary

Tree diagrams
Combinations
Permutations
Sample size
Independent events
Dependent events
Mutually exclusive (disjoint) events

Aligned Learning Resources

12.6 Permutations and Combinations

Design by Adaptive Theme