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P(A) = .3 , P (B) = .7 and P (A and B) = .1

a. What is P (A|B) ?

b. What is P ( A or B ) ?

c. What is P (B|A) ?

d. Are A and B independent?

 Apr 27, 2016
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a. What is P (A|B)   =   P( A and B) / P(B)   =   .1 / .7   = 1/7

 

b. What is P ( A or B )  =  

 

P(A)  + P(B)  -  P(A and B)  =

 

.3       +  .7    -   .1   =

 

.9   = 

 

9/10

 

 

c. What is P (B|A)  = P(A and B)  / P(A)  =   .1 / .3     = 1/3

 

 

d. The events will be independent if :

 

P(A and B)   =  P(A) * P(B)   ...so.....

 

.1  =  (.3) (.7)   ???

 

.1  = .21    ????

 

No.......so  these are dependent events

 

 

cool cool cool

 Apr 27, 2016

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