Suppose we are given two events, A and B, with Pr(A) = 0.6 and Pr(B) = 0.22. a)  Suppose A and B are independent, find Pr(A U B). b)  Suppose instead A and B are mutually exclusive, find Pr(A U B).  c)  Again, suppose A and B are mutually exclusive, find P(A|B).

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Suppose we are given two events, A and B, with Pr(A) = 0.6 and Pr(B) = 0.22.

  1. a)  Suppose A and B are independent, find Pr(A U B).
  2. b)  Suppose instead A and B are mutually exclusive, find Pr(A U B). 
  3. c)  Again, suppose A and B are mutually exclusive, find P(A|B).
  4. d)  Can the above events, A and B, be both independent and mutually exclusive from each other?

Explain why or why not. 

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