![If set A is a subset of B we say that all elements in A can be found in B. If P(B) > 0, what is the
value of P(A|B)?
Solution
HERE GIVEN THAT THE SET A IS SUBSET OF B
HENCE ALL ELEMENT OF A WILL BE IN B
ALSO (A INTERSECTION B) = SET A
NOW P(A|B) = P(A INTERSECTION B) / P(B)
= P(A)/P(B) [ AS P( A INTERSECTION B ) = P(B)]
HENCE THE VALUE OF P(A)/P(B) <1](https://image.slidesharecdn.com/ifsetaisasubsetofbwesaythatallelementsinacanbefound-230711202550-6630d051/85/If-set-A-is-a-subset-of-B-we-say-that-all-elements-in-A-can-be-found-pdf-1-320.jpg)
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If set A is a subset of B we say that all elements in A can be found.pdf
- 1. If set A is a subset of B we say that all elements in A can be found in B. If P(B) > 0, what is the value of P(A|B)? Solution HERE GIVEN THAT THE SET A IS SUBSET OF B HENCE ALL ELEMENT OF A WILL BE IN B ALSO (A INTERSECTION B) = SET A NOW P(A|B) = P(A INTERSECTION B) / P(B) = P(A)/P(B) [ AS P( A INTERSECTION B ) = P(B)] HENCE THE VALUE OF P(A)/P(B) <1