Math II · S-CP.9

Use permutations and combinations to compute probabilities of compound events and solve problems.

Use permutations and combinations to compute probabilities of compound events and solve problems.

Concept Statistics and Probability

Domain Conditional Probability and the Rules of Probability

Problem Types

Problem Templates In This Objective

14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Count permutations when order matters

4 variants

Template 2

Count distinct arrangements when some objects repeat

4 variants

Template 3

Count combinations when choosing a group and order does not matter

4 variants

Template 4

Decide whether a counting situation uses a permutation or a combination

4 variants

Template 5

Use the multiplication principle to count outcomes in a multi-step choice situation

4 variants

Template 6

Count possible outcomes with restrictions using the multiplication principle, factorials, or combinations

4 variants

Template 7

Find the probability of an ordered outcome using permutation counts

4 variants

Template 8

Find the probability of an unordered selection using combinations

4 variants

Template 9

Find the probability of at least one desired outcome using the complement

4 variants

Template 10

Find the probability of getting an exact category breakdown in an unordered selection

4 variants

Template 11

Find the probability of a compound selection event using permutations or combinations

4 variants

Template 12

Evaluate two explicit counting strategies for equivalence

4 variants

Template 13

Decide whether a counting setup overcounts or undercounts

4 variants

Template 14

Decode a combination or permutation probability expression

4 variants