[tex]P(A|B)=\frac{P(B|A)P(A)}{P(B)}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex] P(B|A)P(A)= \frac{(P(B)\cap (P(A)) P(A)}{P(A)}=P(B)\cap P(A)=P(A)\cap P(B)[/tex]

[tex] P(A|B)=\frac {(P(A)\cap P(B))\vee (P(B)\cap P(A))}{P(B)}[/tex]

[tex]0\leq(P(A)\cap P(B))\leq P(A); P(A)\leq P(B)[/tex]

[tex]0\leq(P(B)\cap P(A))\leq P(B); P(B)\leq P(A)[/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Relation of conditional and joint probability

**Physics Forums | Science Articles, Homework Help, Discussion**