Approximate Conditional Probabilities to Determine If Events Are Independent

(A) Determine probabilities, including the use of a two-way table

(Y11-12) Interpret information presented in two-way tables (ACMEM038)

(Y11-12) Identify relative frequency as probability (ACMEM152)

HSS.CP.4 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. For 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 tenth grade. Do the same for other subjects and compare the results.