A short project is defined by activities with three time estimates $($in days$)$ as shown in the table.

$\backslash$table$[[$Activity$,$Optimistic,Most Likely,Pessimistic,Predeces$],[$A$,4,6,8,],[$B$,5,9,13,],[$C$,10,12,15,$A$,$ B$],[$D$,9,12,16,$B$],[$E$,6,9,15,$D$],[$F$,10,13,18,$C$]]$

What is the probability that the project will be completed in less than $32$ days?

a$.0\mathrm{.}19$

b$.0\mathrm{.}11$

c$.0\mathrm{.}07$

d$.0\mathrm{.}15$