It's given that the total probability of event b =P(B) If A1 , A2 ... An are mutually exclusive and exhaustive events , then probability of B = P(B) = P(A1) x P(B | A1) + P(A2) x P(B | A2) + P(A3) x P(B | A3) + .......... P(An) x P(B | An) IS it correct if i represent them in this Venn's diagram ?
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Events are collectively exhaustive when the union of mutually exclusive events is equal to the entire sample space. Something like this would be appropriate: http://slideplayer.com/slide/1626151...robability.jpg
Originally Posted by xl5899 It's given that the total probability of event b =P(B) If A1 , A2 ... An are mutually exclusive and exhaustive events , then probability of B = P(B) = P(A1) x P(B | A1) + P(A2) x P(B | A2) + P(A3) x P(B | A3) + .......... P(An) x P(B | An) IS it correct if i represent them in this Venn's diagram ? It is more like this.
Originally Posted by Plato It is more like this. An ellipsis in a Venn Diagram -- I see something new every day I like!