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)?
Last edited by tykim; Aug 6th 2012 at 12:13 AM.
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Originally Posted by tykim 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)? Here are some useful facts. .
Last edited by Plato; Aug 6th 2012 at 04:46 AM.
Is it correct? It seems to be P(A│B)=P(A∩B)/P(B)
Originally Posted by tykim Is it correct? It seems to be P(A\cap B)=P(A|B)P(B) See my edit.
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
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