Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.46

Recognize and describe the concepts of conditional probability and independence in everyday situations and explain them using everyday language. [Algebra I with Probability, 40]

COS Examples

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

Unpacked Content

Knowledge

Students know:
  • Possible relationships and differences between the simple probability of an event and the probability of an event under a condition.

Skills

Students are able to:
  • Communicate the concepts of conditional probability and independence using everyday language by discussing the impact of the occurrence of one event on the likelihood of the other occurring.

Understanding

Students understand that:
  • The occurrence of one event may or may not influence the likelihood that another event occurs (e.g., successive flips of a coin
  • First toss exerts no influence on whether a head occurs on the second, drawing an ace from a deck changes the probability that the next card drawn is an ace).
  • Events are independent if the occurrence of one does not affect the probability of the other occurring.

Vocabulary

  • Conditional probability
  • Independence
  • Probability
ALSDE LOGO