- #1
sahil_time
- 108
- 0
How do we interpret P(A|B|C) ?
is P(A|B|C) = P(A|B)?
First of all, do such probabilities P(A|B|C) even make sense?
If they do,
Then, P(A|B|C) means, that given C has occurred and given that B occurs which depends on C, what is the probability that A occurs which depends on B?
Will this not be the same as saying, that since C has occurred, so P(A|B|C) = P(A|B) simply?
Example: A = I am alive.
B = Building fell.
C = Earthquake struck.
Q1) so is not P(A|B|C) = P(A|B) simply?
Q2) and so P(A,B,C) = P(A|B|C)P(B|C)P(C) = P(A|B)P(B|C)P(C) ?
is P(A|B|C) = P(A|B)?
First of all, do such probabilities P(A|B|C) even make sense?
If they do,
Then, P(A|B|C) means, that given C has occurred and given that B occurs which depends on C, what is the probability that A occurs which depends on B?
Will this not be the same as saying, that since C has occurred, so P(A|B|C) = P(A|B) simply?
Example: A = I am alive.
B = Building fell.
C = Earthquake struck.
Q1) so is not P(A|B|C) = P(A|B) simply?
Q2) and so P(A,B,C) = P(A|B|C)P(B|C)P(C) = P(A|B)P(B|C)P(C) ?