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- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/03%3A_Probability_Topics/3.03%3A_Two_Basic_Rules_of_ProbabilityThis equation is read as the probability of A given B equals the probability of A and B divided by the probability of B. Then P(A∩B)=P(A|B)P(B) becomes P(A∩B)=P(A)(B) because the \(P(A...This equation is read as the probability of A given B equals the probability of A and B divided by the probability of B. Then P(A∩B)=P(A|B)P(B) becomes P(A∩B)=P(A)(B) because the P(A|B)=P(A) if A and B are independent. We can think of the union symbol substituting for the word "or". The reason we subtract the intersection of A and B is to keep from double counting elements that are in both A and B.
- https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/03%3A_Probability_Topics/3.04%3A_Two_Basic_Rules_of_ProbabilityWe can think of the intersection symbol as substituting for the word "and". This rule may also be written as: P(A|B)=P(A∩B)P(B) This equation is read as the probability of A given ...We can think of the intersection symbol as substituting for the word "and". This rule may also be written as: P(A|B)=P(A∩B)P(B) This equation is read as the probability of A given B equals the probability of A and B divided by the probability of B. We can think of the union symbol substituting for the word "or". The reason we subtract the intersection of A and B is to keep from double counting elements that are in both A and B.
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/03%3A_Probability_Topics/3.04%3A_Two_Basic_Rules_of_ProbabilityWe can think of the intersection symbol as substituting for the word "and". This rule may also be written as: P(A|B)=P(A∩B)P(B) This equation is read as the probability of A given ...We can think of the intersection symbol as substituting for the word "and". This rule may also be written as: P(A|B)=P(A∩B)P(B) This equation is read as the probability of A given B equals the probability of A and B divided by the probability of B. We can think of the union symbol substituting for the word "or". The reason we subtract the intersection of A and B is to keep from double counting elements that are in both A and B.