# Thread: space of an experiment

1. ## space of an experiment

The sample space of an experiment is {A,B,C,D} and P(A)-0.1, P(B)=0.3. P(C)=0.4, P({A,C})= what? My answer is 0.1x0.4=0.4 is this right, I'm not sure if I set the problem up right. thanks for any help given.

2. Originally Posted by kwtolley
The sample space of an experiment is {A,B,C,D} and P(A)-0.1, P(B)=0.3. P(C)=0.4, P({A,C})= what? My answer is 0.1x0.4=0.4 is this right, I'm not sure if I set the problem up right. thanks for any help given.
No in this case the points in the sample space are disjoint events, and

P({A,B})=P(A)+P(B)=0.5

That is event A can occur, or event B, ... , D, but two cannot occur. The
sum of the probabilities over the sample space is 1.

RonL