Question

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).

Answer 1

dependance has to do with equating a 'given' with a universal probabilty

if P(A|B) = P(A|U) then the events are independant

Answer 2

so its not a or b

Answer 3

your missing parts of the options so i cant verify that

Answer 4

The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A).
P(A) = .73

The probability that the urine sample contains the protein albumin is 0.58 (event B).
P(B) = .58


The probability that a sample contains protein, given that albumin is detected, is 1.
P(AnB) = 1

P(A|B) = P(AnB)/P(B) = 1/.58 does not equal .73 P(A)

therefore the events are not independant