Computer program are classified by the length of the source code and by the execution time. Programs with more than $150$ lines in the source code are big $($B$).$ Programs with $150$ lines are little $($L$).$ Fast programs $($F$)$ run in less than $0\mathrm{.}1$ seconds. Slow programs $($W$)$ require at least $0\mathrm{.}1$ seconds. Monitor a program executed by a computer. Observe the length of the source code and the run time. The probability model for this experiment contains the following information: $P[LF]=0\mathrm{.}3,P[BF]=0\mathrm{.}2,$ and $P[BW]=0\mathrm{.}1.$ What is the sample space of the experiment? Calculate the following probabilities: $P[W],P[F]$ and $P[WF].$