[Answer] If events A and B are independent what must be true?

Answer: B. P(A|B) = P(A)

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If events A and B are independent what must be true? A and B are independent events. Then we have to find which equation below must be true. A. P(A) = P(B ) No this is not true example. A: Occurence of 1 in rolling a die P(A)=1/6. B: occurence of an even number on rolling a die P(B)=1/2. B. P(A | B) = P(A) This is true. since P(A|B)+P(A)/P(A∩B) and P(A∩B)=P(A)P(B) C. P(A ∩ B) = P(A) If two events are independent the probabilities of their outcomes are not dependent on each other. Therefore the conditional probability of two independent events A and B is: The equation above may be considered as a definition of independent events. If the equation is violated the two events are not independent. Probability Rules for Independent Events. Independent events follow some of the most … A and B are independent A occured does not change the ... Independent Events - Overview Conditional Probability ... Independent Events - Overview Conditional Probability ... A and B are independent events. Which equation below must ... Events A and B are independent if: knowing whether A occured does not change the probability of B . Mathematically can say in two equivalent ways: P( B |A)=P( B ) P( A and B )=P( B ∩ A)=P( B ) × P(A). Important to distinguish independence from mutually exclusive which would say B ∩ A is empty (cannot happen). Example. Deal 2 cards from deck ... If events A and B are complementary events then A and B must be collectivel...

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