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:

http://shrani.si/f/2D/DP/2hxNg4u9/baesyannetwork.png

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

Hey PJani.

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)?