Lesson 5 | Probability | 10th Grade Mathematics

Objective

Describe conditional probability and develop the rule $$P(B|A)=\frac{P(A \space \mathrm{and} \space B)}{P(A)}$$.

Lesson Map

Topic A: Conditional Probability and the Rules of Probability

Describe the sample space of an experiment or situation. Use probability notation to identify the “and,” “or,” and complement outcomes from a given sample space.

Standards

7.SP.C.8S.CP.A.1

Lesson

Determine the probability of events with replacement using tree diagrams, addition rules for mutually exclusive events, and multiplication rules for compound events.

Standards

7.SP.C.7S.CP.A.2S.CP.A.4S.CP.B.6S.CP.B.7

Lesson

Determine the probability of events without replacement using tree diagrams, addition rules for mutually exclusive events, and multiplication rules for compound events.

Standards

7.SP.C.7S.CP.A.2S.CP.B.6S.CP.B.7S.CP.B.8

Lesson

Determine the probability of events that are not mutually exclusive to formalize the addition rule.

Standards

S.CP.A.1S.CP.A.2S.CP.B.7

Lesson

Describe conditional probability and develop the rule $$P(B|A)=\frac{P(A \space \mathrm{and} \space B)}{P(A)}$$.

Standards

S.CP.A.3

Lesson

Determine whether events are independent.

Standards

S.CP.A.2S.CP.A.3S.CP.A.5

Lesson

Calculate and analyze relative frequencies in two-way tables to make statements about the data and determine independence.

Standards

S.CP.A.4S.CP.A.5S.ID.B.5

Lesson

Make decisions about medical testing based on conditional probabilities.

Standards

S.CP.A.3S.CP.A.4S.CP.A.5

Lesson

Describe and apply the counting principle and permutations to contextual and non-contextual situations.

Standards

S.CP.B.9

Lesson

Describe and apply the counting principle and combinations to contextual and non-contextual situations.

Standards

S.CP.B.9

Probability

Objective

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Probability

Objective

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