Lesson Plan

Define and compute the conditional probability P(A|B) using the formula P(A|B) = P(A and B) / P(B)

Explain in their own words why conditional probability represents "restricting the sample space" to only outcomes where B has occurred

Interpret independence of events A and B as the condition P(A|B) = P(A) - knowing B occurred doesn't change the probability of A

Determine whether two events are independent by checking if P(A|B) = P(A) or equivalently if P(A and B) = P(A) * P(B)

Apply conditional probability to real-world scenarios, including medical testing, quality control, and everyday decision making

HSS.CP.A.3

HSS.CP.A.3: Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.