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Flashcards covering probability rules, general addition and multiplication rules, conditional probability, independence, and drawing without replacement.
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General Addition Rule
A rule used when events are not disjoint to find the probability of either event A or event B occurring. Formula: P(A or B) = P(A) + P(B) - P(A and B).
Inclusive 'or'
In statistics and math, 'or' includes the possibility of both events occurring.
Conditional Probability
The probability of an event B occurring given that event A has already occurred, denoted as P(B|A).
General Multiplication Rule
A rule used when events are not independent to find the probability of both events A and B occurring. Formula: P(A and B) = P(A) * P(B|A) or P(A and B) = P(B) * P(A|B).
Independence
The outcome of one event does not influence the probability of the other. P(B|A) = P(B) or P(A|B) = P(A).
Drawing Without Replacement
Sampling where once an individual is drawn, it is not returned to the pool.
Disjoint Events
Events that cannot occur at the same time.