๐ŸŽฒintro to statistics review

key term - Independent events

Definition

Independent events are two or more events where the occurrence of one event does not affect the probability of the other events occurring. Mathematically, events A and B are independent if $P(A \cap B) = P(A) \cdot P(B)$.

5 Must Know Facts For Your Next Test

  1. For two independent events A and B, $P(A|B) = P(A)$ and $P(B|A) = P(B)$.
  2. The independence of two events implies that knowing the outcome of one provides no information about the other.
  3. If events A and B are independent, then their complements (A' and B') are also independent.
  4. In a sequence of trials, like flipping a fair coin multiple times, each flip is an independent event.
  5. Independence is different from mutual exclusivity; mutually exclusive events cannot happen simultaneously, whereas independent events can.

Review Questions

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