I have a series of problems that involve events that happen one after another, and where the usual formulas like P(A/B)=P(AB)/P(A) don't seem to help.
In a horse race there are 3 horses. E12 means horse 1 finishes before horse 2. E123 means horse 1 finishes before 2, which finishes before 3, etc.
If P(E13)=2/3 and P(E23)=1/2 then P(E123)=?
How can I go about solving this kind of problems?