MA19.8A.46

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

Students know:

Possible relationships and differences between the simple probability of an event and the probability of an event under a condition.

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.

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.

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.