Examples for

Common Core Math: High School Statistics & Probability: Conditional Probability

In high school, students learn how to compute probabilities of the possible outcomes of chance events. Students use the law of conditional probability to compute the possibility of an event depending on the outcome of another related event. Students also practice different methods for outlining all possible outcomes of a scenario, including by computing combinations and permutations.

Common Core Standards

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CCSS.Math.Content.HSS-CP.A.3
CP.A.5 common core HSS

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conditional probability common core standards HS

Compute Probabilities

Use the rules of probability to analyze and interpret data.

Define and analyze a sample space (CCSS.Math.Content.HSS-CP.A.1):

coin toss sample space
possible outcomes rolling 2 dice
A or B and not C
A intersect B

Compute conditional probabilities (CCSS.Math.Content.HSS-CP.A.3):

P(A given B) if P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/4
P(A|B) for P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.15
probability of A given B if P(A and B) = 0.026, P(B) = 0.18, and P(A) = 0.32
conditional probability

Calculate probabilities using the addition rule (CCSS.Math.Content.HSS-CP.B.7):

P(A or B) if P(A) = 0.4, P(B) = 0.47, and P(A and B) = 0.17
P(A) = 3/4, P(B) = 1/5, P(A and B) = 0, what is P(A or B)?
P(A) if P(A and B) = 0.2, P(A or B) = 0.4, P(B) = 0.333
P(A and B) if P(A) = 2/3, P(B) = 2/5, P(A or B) = 4/5

Compute permutations and combinations (CCSS.Math.Content.HSS-CP.B.9):

8 choose 4
{x, y, z} combinations
5 C 2
number of 3-permutations of 6 objects
permutations of {a, b, c, d}
11 P 4
necklaces with 3 colors and 5 beads
sort 10 objects into 3 bins

RELATED EXAMPLES

  • Common Core Math: Interpreting Data
  • Common Core Math: Using Probability to Make Decisions