Math Is Fun Forum

NESIC

Member

Registered: 2010-09-25

Posts: 16

Venn Diagram

How we draw the Venn diagram of Event A and B representing the following
1. A and B are arbitrary
2. If A occur B must occur
3. If A occur B can,t occur
4. A & B are independant
Dear all your help required

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Venn Diagram

Hi NESIC;

Welcome to the forum!

For 4) The definition of independence is P( A and B ) = P(A) x P(B). So to draw a Venn diagram of it I would need to draw 2 circles with some overlap. But unless that overlap exactly equals P(A) x P(B) I don't have a correct Venn diagram. I don't like this question because without knowing P(A), P(B) I cannot correctly represent P(A) x P(B).  I suppose you could draw two circles inside a rectangle. Label one A and the other B and their intersection label it P(A) x P(B). That is what I would do.

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