i need help.statistics

Question

Given that P(A or B) = 2/3, P(A) = 0.67, and P(A and B) = 1/3, find P(B).

Answer 1

Seems to me that the problem is asking you to use this "formula":

 

P(A or B) = P(A) + P(B) - P(A and B).  

 

Substituting what is given results in:

 

  2/3 = 0.67 + P(B) - 1/3

 

P(B) looks to me like 1 - 0.67 = 0.33.

Answer 2

P(A)=0.67 means probability of A > 2/3, so that contradicts THE OTHER Given,  P(A or B) = 2/3

 

THIS PROBLEM IS DEFECTIVE.