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This review covers essential concepts in probability, including mutually exclusive events that cannot occur simultaneously, like being a boy or a girl. It explains the complement of a probability, which represents the likelihood of an event not happening. Additionally, it outlines how to calculate "and" and "or" probabilities: "and" requires multiplication of probabilities (while considering independence), and "or" requires addition and adjustment for overlapping outcomes. The difference between theoretical and experimental probability is also discussed, highlighting the assumptions of equal likelihood versus outcomes from actual experiments.
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2nd Nine Weeks ExamReview – Unit 6 Probability Key Points
Mutually Exclusive….. • Events that are mutually exclusive cannot happen at the same time. • For example, being a boy and a girl are mutually exclusive events.
Complement…. • The complement of a probability is what the probability is NOT. • For example: If the probability of wearing red today is 0.35, then the probability of NOT wearing red is 1 – 0.35 = 0.65
“And” verses “Or” • “And” probabilities you multiply (You must be aware if the events are independent or not independent) • “Or” probabilities you add AND subtract any intersections.
Theoretical vs. Experimental Probability • Theoretical: assumes all outcomes in the sample space are equally likely to occur. • Experimental: outcomes taken from an experiment.
