A\displaystyle {A} and B\displaystyle {B}  are events such that P(A)=0.39\displaystyle {P}{\left({A}\right)}={0.39}  and P(B)=0.46\displaystyle {P}{\left({B}\right)}={0.46} . Find the following:
  1. P(A∩B)\displaystyle {P}{\left({A}\cap{B}\right)} 
  2.  P(A∪B)\displaystyle {P}{\left({A}\cup{B}\right)} 
  3.  P(A∣B)\displaystyle {P}{\left({A}{\mid}{B}\right)} 

Assuming that events A and B are:

  1. Mutually exclusive
  2. Independent

Write the answer in the following table: (Round the answers to 2 decimal places)

 

1. P(A∩B)\displaystyle {P}{\left({A}\cap{B}\right)} 

2. P(A∪B)\displaystyle {P}{\left({A}\cup{B}\right)} 

3. P(A∣B)\displaystyle {P}{\left({A}{\mid}{B}\right)} 
a. Mutually exclusive
b. Independent
 

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