Bayesian network

[totalNoob]

Im given: P(A), P(B), P(C | A, B), P(C | ~A, B), P(C | A, ~B), P(C | ~A, ~B)
Im supposed to find : P(C |A )


Thank you for your help

 

[Deleted member 4993]

Im given: P(A), P(B), P(C | A, B), P(C | ~A, B), P(C | A, ~B), P(C | ~A, ~B)
Im supposed to find : P(C |A )


Thank you for your help

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520​

Please share your work/thoughts about this problem.

 

[totalNoob]

all i know so far is that i have to use Bayes' theorem,


But i have no idea what to do with that

 

[Deleted member 4993]

all i know so far is that i have to use Bayes' theorem,


But i have no idea what to do with that

Then let's start with meaning of the symbols.

Do you know what does P(A|B) mean? If you do please state it.

Similarly:

please state what does P(B|A) mean?

please state what does P(C|~A, B) mean?

and rest of the expressions in your question.

 

[totalNoob]

P(A|B) is probability of event A happening given that event B happened,
P(C|~A, B) is probability of event C happening given that event A didn't happened AND event B happened
the rest is simmilar.
and i have no clue what to do with that