Expected project paths are exact sums of expected activity times.

highlighted = computed this step

Path A-B-D

Path A-B-D has expected length 7.

ABD=7A-B-D=7
Expected path lengthsEach path length is the exact sum of its expected activity times.path lengthsexpected lengthA-B-D7A-C-D19/3

Path A-C-D

Path A-C-D has expected length 19/3.

ACD=19/3A-C-D=19/3
Expected path lengthsEach path length is the exact sum of its expected activity times.path lengthsexpected lengthA-B-D7A-C-D19/3

Compare paths

The first path is longer in expected time, because 7 is greater than 19/3.

7>19/37>19/3
Expected path lengthsEach path length is the exact sum of its expected activity times.path lengthsexpected lengthA-B-D7A-C-D19/3

Path note

Expected path length is a sum of expected activity times along that path.

path length equals exact sum\text{path length equals exact sum}
Expected path lengthsEach path length is the exact sum of its expected activity times.path lengthsexpected lengthA-B-D7A-C-D19/3