Given the project information in the following table, what is the probability of completing the project in $58$ days?

Activity

Predecessor

Optimistic $($a$)$

Mosk Likely $($m$)$

Pessimistic $($b$)$

None

$17$

$29$

$47$

$24$

A

$6$

$12$

$19$

$28$

C

$16$

$16$

$19$

$13$

$14$