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The event Ac ("not A") is called the of event A.
P(A) + P(Ac) sums to: .-
If two events are independent, they do not: .
Whether a person is registered as a Democrat or whether that person is registered as a Republican are disjoint. Whether a randomly chosen person is registered as a Democrat and whether a second randomly chosen person is registered as a Republican are independent.
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If two events A and B are independent, the probability that they both happen is equal to the of P(A) and P(B).
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Please answer question 4 to reveal this question.
If the events A and B are not independent, then the probability that they both happen equals P(B) times: .
P(C|D) is notation for the probability that the event C happens when you know that event D has occurred.
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If two events are disjoint (i.e., mutually exclusive), they do not: .
Whether a person is registered as a Democrat or whether that person is registered as a Republican are disjoint. Whether a randomly chosen person is registered as a Democrat and whether a second randomly chosen person is registered as a Republican are independent.
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The union of events A or B is often described using the words "A or B" (A ∪ B). This means that events A or B happened.
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Please answer question 6 to reveal this question.
Assume events A and B are disjoint (i.e., mutually exclusive). To find the probability that at least one happens, P(A) and P(B).
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Please answer question 6 to reveal this question.
Now suppose events A and B do have overlap. To find P(A ∪ B), you take P(A) + P(B) and then the probability of the overlap.