$\backslash$table$[[,,\backslash$table$[[$Duration Estimates$],[$Most$]],,],[$Activity$,$Precedes,OptimisticLikelyPessimistic,,$],[$Start$,$U$,$V$,-,-,-],[$U$,$W$,35,50,65],[$V$,$W$,$ X$,28,40,52],[$W$,$Z$,26,35,44],[$X$,$Y$,28,40,52],[$Y$,$Z$,26,29,38],[$Z$,$End,$36,60,84]]$

What is the probability that the critical path for this project will be completed within $200$ days?