| Line 4: | Line 4: | ||
[[Category:lecture notes]] | [[Category:lecture notes]] | ||
| − | =[[MA375]]: | + | =[[MA375]]: Lecture Notes= |
| − | Lecture Notes | + | Fall 2008, Prof. Walther |
---- | ---- | ||
| + | ==Some Definitions== | ||
If '''E''' and '''F''' are events in '''S''' (sample space) the the conditional probability of '''E''' and '''F''' is '''P(E|F) = P(E intersect F)'''. | If '''E''' and '''F''' are events in '''S''' (sample space) the the conditional probability of '''E''' and '''F''' is '''P(E|F) = P(E intersect F)'''. | ||
Latest revision as of 07:16, 20 May 2013
MA375: Lecture Notes
Fall 2008, Prof. Walther
Some Definitions
If E and F are events in S (sample space) the the conditional probability of E and F is P(E|F) = P(E intersect F).
Further :
the conditional probability of "E" given "F" is =$ \frac {P(EnF)}{P(F)} $
defn: if P(E|F) = P(E) , then E and F are independent events otherwise they are dependant events.
note: independence implies that $ P(E)= P(E|F) = \frac {P(EnF)}{P(F)} $
or P(E).P(F)=P(EnF).
note : if P(E|F) = P(E)
then P(F|E) = P(F)
