Conditional probability as below looks simple, but confused for me.

P(A│B)=(P(A∩B))/(P(B))

A. If P(AlB)=0.5, what is the range of possible P(A)?

B. If P(AlB)=0.5, what is the range of possible P(B)?

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- August 5th 2012, 11:50 PMtykimThe range of possible
Conditional probability as below looks simple, but confused for me.

P(A│B)=(P(A∩B))/(P(B))

A. If P(AlB)=0.5, what is the range of possible P(A)?

B. If P(AlB)=0.5, what is the range of possible P(B)? - August 6th 2012, 04:17 AMPlatoRe: The range of possible
- August 6th 2012, 04:35 AMtykimRe: The range of possible
http://latex.codecogs.com/png.latex?...P(A\cap B)P(B)

Is it correct?

It seems to be P(A│B)=P(A∩B)/P(B) - August 6th 2012, 04:47 AMPlatoRe: The range of possible
- August 6th 2012, 05:51 PMtykimRe: The range of possible
Dear Plato,

Following your guidance,

0≤P(A∩B)≤P(A)≤1

0≤P(A│B)P(B)≤P(A)≤1

0≤0.5P(B)≤P(A)≤1

I can come to the below. How do you think?

P(B)=0; 0≤P(A)≤1

P(B)=1; 0.5≤P(A)≤1

P(A)=0; P(B)=0

P(A)=1; 0≤P(B)≤1