Bayesian network, how to shorten the condition
Hey i hope i am writing into right forum. I am banging my head against the wall almost for 2 hours and i can't figure out how the hack i can solve this.
i have this bayesian network:
Now i need to know how is this P( a | b ˄ ~d ˄ e) being "shortened" into this P( a | b ˄ ~d ) and this P( a | b ˄ ~c ˄ ~d ˄ e) into this P( a | b ˄ ~c).
Any help would be greatly apriciated.
Re: Bayesian network, how to shorten the condition
Which events are mutually exclusive? How can you use this information to get cancellations when you expand the probabilities through the set theoretic identities (distributive, multiplicative, etc laws)?