Louisiana Administrative Code
Title 28 - EDUCATION
Part CLXXI - Bulletin 745-Louisiana Teaching Authorizations of School Personnel
Chapter 25 - Geometry
Section CLXXI-2503 - Statistics and Probability

A. Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events ("or," "and," "not").

B. Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

C. 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.

D. Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.

Example: Collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science, given that the student is in grade 10. Do the same for other subjects, and compare the results.

E. Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.

Example: Compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.

F. Find the conditional probability of A given B as the fraction of Bs outcomes that also belong to A, and interpret the answer in terms of the model.

G. Apply the addition rule, P(A or B)=P(A) + P(B) - P(A and B), and interpret the answer in terms of the model.