AIM: How can we compare independent and dependent probability?
HW: ACE #6,9; p.81,83
Giselle has 2 pairs of sneakers, 3 pairs of jeans, and 4 tops. How many different outfits can she make with her options?
After reviewing how sample spaces are used to find the total outcomes in a situation, students looked at a faster way to find the probability of a compound event. Students learned that if you want to find the total probability of two events, you must find the probability of the first event, and multiply it by the probability of the second event. The focus of today's lesson, however, was to examine the differences between independent and dependent events.
Independent events are not influenced by other things that happen, meaning their probabilities are not impacted by previous situations. On the other hands, dependent events are influenced by other events. Their probabilities depend on what happened before. We looked at an example of selecting colored marbles from a bag. Students found the probability of selecting a blue, replacing the marble (putting it back into the bag) and then selecting a red. Afterwards, we worked through a problem where the blue marble was not put back. Words and phrases like "kept out," "not replaced," indicate a dependent event and probability situation.
Please use the resources below to help with your understanding of today's lesson.
Probability Quiz - http://www.thatquiz.org/tq-d/math/probability/