Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 11 - Probability and Statistics - 11-3 Probability of Multiple Events - Lesson Check - Page 691: 6

Answer

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Work Step by Step

Independent events are events for which the probability of one isn't affected by the other. Mutually exclusive events are ones where one cannot happen if the other does, i.e. for two events A and B, if A happens, B cannot and if B happens, A cannot. In more detail: Independent events essentially mean that $P(A|B)$, or $P(A)$ given B is equal to $P(A)$, because B has no effect on A. Mutually exclusive: $P(A|B) = 0$, and $P(B|A) = 0$, so if A happens, B can't happen and vice versa.
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