May 20, 2015

Students use the complement rule to calculate the probability of the complement of an event and the multiplication rule for independent events to calculate the probability of the intersection of two independent events.

Students recognize that two event A and B are independent if and only if P(A and B) = P(A)P(B) and interpret independence of two events A and B as meaning that the conditional probability of A given B is equal to P(A).

Students use the formula for conditional probability to calculate conditional probabilities and interpret probabilities in context.

Teacher and Student versions of full lesson from engageNY

- Mathematics > General
- Mathematics > Geometry

- Grade 9
- Grade 10

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Model with mathematics.

Use appropriate tools strategically.

Attend to precision.

(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.