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Let’s Review

Let’s Review. If two events are independent…. * P ( A ∩ B ) = P ( A ) P ( B ) * P ( B | A ) = P ( B ) *P ( A | B ) = P ( A ) *They cannot be mutually exclusive!. If two events are dependent…. * P ( A ∩ B ) = P ( A ) P ( B | A ) * P ( B | A ) ≠ P ( B )

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Let’s Review

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  1. Let’s Review

  2. If two events are independent… *P(A ∩ B) = P(A) P(B) *P(B | A) = P(B) *P(A| B) = P(A) *They cannot be mutually exclusive!

  3. If two events are dependent… *P(A ∩ B) = P(A) P(B | A) *P(B | A) ≠ P(B) *P(A| B) ≠P(A)

  4. If two events are mutually exclusive… *P(A U B) = P(A) + P(B) *P(B ∩ A) = 0 *They cannot be independent!

  5. Venn Diagrams… The green shaded area is the union. The green shaded area is the intersection.

  6. Conditional Probability… *

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