The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that the urine sample contains the protein albumin is 0.58 (event B). The probability that a sample contains protein, given that albumin is detected, is 1.

Which statement is true?

Events A and B are dependent because P (A|B) = P (A).

Events A and B are dependent because P (A| B) P (B).

Events A and B are dependent because P (A|B) = P (A) + P (B).

Events A and B are dependent because P (A| B) P (A).

Events A and B are dependent because P (A|B) = P (A).

Question

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Mathematics

4 April, 06:32

The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that the urine sample contains the protein albumin is 0.58 (event B). The probability that a sample contains protein, given that albumin is detected, is 1.

Which statement is true?

Events A and B are dependent because P (A|B) = P (A).

Events A and B are dependent because P (A| B) P (B).

Events A and B are dependent because P (A|B) = P (A) + P (B).

Events A and B are dependent because P (A| B) P (A).

Events A and B are dependent because P (A|B) = P (A).

+2

Answers (1)

Know the Answer?

Jordon Perkins · Answer 1

The correct answer among the choices provided is the second option. Events A and B are dependent because P (A|B) P (B). And from conditional probability, we have P (A|B) = P (AintersectionB) / P (B).

Therefore, P (AintersectionB) is equal to P (A|B) * P (B).