Independent Events (VCE SSCE Mathematical Methods): Flashcards

One event's occurrence doesn't affect other's probability

$\text{Pr}(A | B) = \text{Pr}(A)$

$\text{Pr}(A \cap B) = \text{Pr}(A) \times \text{Pr}(B)$

Multiply: $\text{Pr}(A) \times \text{Pr}(B)$

Check if $\text{Pr}(A \cap B) = \text{Pr}(A) \times \text{Pr}(B)$

Pairwise independence

Independent: no effect; Mutually exclusive: can't both occur

No, unless at least one has probability zero

Physical independent → mathematical independent, not reverse

$\text{Pr}(A) + \text{Pr}(B) - \text{Pr}(A) \times \text{Pr}(B)$