Conditional probability multiple conditions

Question

I have a question about conditional probability. Is it true that $P(A|B|C)$ equal to $P((A|B)|C)$ equal to $P(A|(B|C))$?

What does $P(A|(B|C))$ mean? Or rather, what does $(B|C)$ mean? Surely it isn't a probability... — David G. Stork, Nov 11 '19 at 03:14

score 1 · Accepted Answer · answered Nov 11 '19 at 03:03

1

Yes, they are all identical.

If even one of A, B, or C is true, then all of the statements should evaluate to true. You can test that out for yourself. One of the OR's will become true, which makes the whole expression true.

answered Nov 11 '19 at 03:03

Saketh Malyala

13,637

Conditional probability multiple conditions

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