A project has been defined to contain the following activities, along with their time estimates $($in weeks$)$ for completion:

Activity

Optimistic time

Most likely time

Pessimistic time

Immediate Predecessor

A

$1$

$4$

$7$

$-$

B

$2$

$6$

$7$

A

C

$3$

$4$

$6$

D

D

$6$

$12$

$14$

A

E

$3$

$6$

$12$

D

F

$6$

$8$

$16$

B$,$ C

G

$1$

$5$

$6$

E$,$ F

What is the probability that this project will take over $($i$.$e$.,$ more than$)32$ weeks to complete?