The correct answer is: B. Less than 50 %
The probability of completion of the project within the scheduled completion time will be less than 50% if the scheduled completion time is more than the earliest expected time for completion of the project. This is because there are more possible scenarios in which the project will not be completed on time than there are scenarios in which it will be completed on time.
For example, let’s say that the earliest expected time for completion of a project is 10 days. If the scheduled completion time is 15 days, then there are 5 days in which the project could potentially be delayed. There are many possible reasons why the project could be delayed, such as unexpected problems, changes in requirements, or delays from subcontractors.
On the other hand, there is only one way in which the project can be completed on time: if everything goes according to plan. Therefore, the probability of completion of the project within the scheduled completion time is less than 50%.
Here are some additional details about each option:
- Option A: 50%. This is the probability of completing a project if the scheduled completion time is equal to the earliest expected time for completion. However, in this case, the scheduled completion time is more than the earliest expected time for completion, so this option is not correct.
- Option B: Less than 50%. This is the correct answer, as explained above.
- Option C: More than 50%. This is not the correct answer, as explained above.
- Option D: 100%. This is not the correct answer, as explained above.