1. ## Venn's diagram confusion

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 ?

2. ## Re: Venn's diagram confusion

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

3. ## Re: Venn's diagram confusion

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.

4. ## Re: Venn's diagram confusion

Originally Posted by Plato
It is more like this.
An ellipsis in a Venn Diagram -- I see something new every day I like!