The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?
A. P(B|A) = y
B. P(A|B) = y
C. P(B|A) = x
D. P(A and B) = x + y
. P(A and B) = x
P(A) y
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OpenStudy (anonymous):
If A and B are dependent events,
and A occurs first,
P(A and B) = P(A) • P(B,once A has occurred)
... and is written as ...
P(A and B) = P(A) • P(B|A)
OpenStudy (anonymous):
P(B|A): Probability of B, when A has happened
OpenStudy (anonymous):
but A and B are independent though
OpenStudy (anonymous):
yes. if they are INdependent, that means it doesn't matter which on is first, or if there even will be an "A" .
OpenStudy (anonymous):
A. P(B|A) = y
B. P(A|B) = y
C. P(B|A) = x
let's examine what the options would translate into
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OpenStudy (anonymous):
so is it P(B|A) = y
OpenStudy (anonymous):
A. P(B|A) = y
Probability of B, (when A has happened),
is y
OpenStudy (anonymous):
"the probability of event B is y"
yeah, that one would work :)
OpenStudy (anonymous):
B. P(A|B) = y
A is y
WRONG
OpenStudy (anonymous):
C. P(B|A) = x
B is x
WRONG
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