Consider a three level tree diagram of events happening in a sequence.
At first level $A, B$ or $C$ events are possible, at second level $D, E$ or $F$ are possible and at third level $P$ or $Q$ are possible.
All edge probabalties at first level are $1 / 3,$ at second level are $1/3,$ and at third level are $1/2.$
Find $P(A \mid P)?$
- $2/3$
- $1 / 3$
- $1 / 2$
- $3 / 4$