
You need to be aware of the Monte Carlo simulation if you are involved in risk management. The Monte Carlo simulation is a quantitative risk analysis technique which is used to identify the risk level of completing the project.
This is one of the most important techniques in risk management; however, you will not see a detailed description of this technique in many PMP exam reference books.
Most references will say that it is a very complex technique that requires a computer’s assistance. Consequently, many aspirants don’t dig into it further. The assumption that this technique is complicated is not true. This is one of the most straightforward techniques in the PMBOK Guide.
I assure you that once you read this blog post, you will have the same thoughts as I.
Monte Carlo Simulation
The Monte Carlo simulation was invented by an atomic nuclear scientist named Stanislaw Ulam in 1940, and it was named Monte Carlo after the town in Monaco which is famous for its casinos.
This is a mathematical technique that allows you to account for risks in your decision-making process. With the help of this technique, you can determine the impact of the identified risks by running simulations many times, and identify a range of possible outcomes in different scenarios.
You can use the Monte Carlo simulation to analyze the impact of risks on forecasting models such as cost, schedule estimate, etc. You need this technique here because some degree of uncertainty exists in these types of decisions. If you don’t use this technique, your outcome will not be sound, and the results of your decision may surprise you at a later stage.
This technique gives you a range of possible outcomes and the probabilities that will occur for any choice of action.
For example, let’s discuss the use of the Monte Carlo simulation in determining the project schedule.
Example
You must have duration estimates for each activity to perform the Monte Carlo simulation to determine the schedule.
Suppose that you have three activities with the following estimates (in months):

From the above table you can deduce that according to the PERT estimate, these three activities will be completed in 17.5 months.
However, in the best case, it will be finished in 16 months, and in the worst case, it will be completed in 21 months.
Now, if we run the Monte Carlo simulation for these tasks five hundred times, it will show us results such as:

(Please note that the above data is for illustration purpose only, and is not taken from an actual Monte Carlo simulation test result.)
From the above table you can see that there is a:
- 2% chance of completing the project in 16 months
- 8% chance of completing the project in 17 months
- 55% chance of completing the project in 18 months
- 70% chance of completing the project in 19 months
- 95% chance of completing the project in 20 months
- 100% chance of completing the project in 21 months
So, as you can see, this program provides you with a more in-depth analysis of your data which helps you make a better-informed decision.
Limitations of the Monte Carlo Simulation
The Monte Carlo simulation has its own set of limitations. Some of these limitations are as follows:
- You input three estimates for an activity to run the Monte Carlo simulation. Your result will not give you a correct analysis if you show some bias in determining the estimates. Therefore, the results depend on the quality of your estimates.
- The Monte Carlo simulation shows you the probabilities of completing the tasks. It is not the actual time taken to complete the task.
- The Monte Carlo simulation technique cannot be applied to a single task or activity; you need to have all activities, and the risk assessment completed for each activity.
- You will need to buy an add-on or a software program to run the Monte Carlo simulation.
Benefits of the Monte Carlo Simulation
The Monte Carlo simulation method has many benefits in project management, such as:
- It helps you evaluate the risk of the project.
- It helps you predict chances of failure, and schedule and cost overrun.
- It converts risks into numbers to assess the risk impact on the project objective.
- It helps you build a realistic budget and schedule.
- It helps you gain management support for risk management.
- It helps you in decision making with the support of objective data.
- It helps you to find out the chances of achieving your project milestones or intermediate goals.
Summary
The Monte Carlo simulation is an essential tool and technique in the quantitative risk analysis process which helps you make decisions based on objective data. Although this technique is not used frequently in low and low-medium sized projects, if used it increases the chances of achieving project success within approved baselines.
Here is where this blog post on Monte Carlo Simulation ends. If you have any comments or suggestions, you can do so through the comments section below.


Thanks to brother Fahad and the reader. I have gone throgh the article and coments. Think it’s easy to conceptualize the main idea.
You are welcome Jobayer.
Hi Fahad,
You are right, most books just give a brief description and also there are no questions on this topic in most of study material I have been through. Can you please let us know what kind of questions are encountered on the PMP exam?
Regards,
Manny
You can find some free sample PMP exam questions from the following link:
https://pmstudycircle.com/pmp-questions/
Thanks Fahad. This just gave me happiness after a long search for MC. Now please, help explain the limitations of MC carefully to me, especially point 1 & 3.
A. Why always 3 estimates/assumptions? On what basis can these estimates be based—-on past knowledge, pattern knowledge or future knowledge?
B. What do you mean by simulation cannot be performed on Single activity but all activities. And then again, risk assessment must be performed on each activity? Do you mean, one must know all the activities that must be carried out to complete a task, the run MC simulation(risk analysis) on each of these activities? Why can’t MC be run on all these activities together at once so one can have a more holistic result that would show the effect of interconnectedness?
C. Can MC be used also for operational (day to day) decisions as it seems it’s good for only strategic decisions?
Thanks a lot for quick response. I would be very grateful.
A) PERT technique reduces the biases so we use it.
B) This is not a tool to use for every single activity.
C) We mainly use it for finalizing budget and schedule for a project
it is my understanding that in the PMP exam we will not have access to simulation software. is there a manual method for exam purposes?
You can go for paper based exam.
Thanks for putting this in the most simplest form to understanding the technique..
You are welcome Anu.
hello dear
I have a question how do we know that 16 =2% is there a method or equation help us to find it correctly
thanx
In this blog post, this is an assumed data. You will get the real data when you enter correct data in Monte Carlo simulation software.
If you are asking about how the Monte Carlo Method is working
It is working by generating random (according to predefined probabilities) samples then calculating the overall probability
For example assume that you have a board and a circle drawn on that board
Let’s throw darts and see how many fell inside or outside the circle
We can calculate the circle area by multiplying the % of darts fell inside by the total area of the board
Hi Fahad,
I have a small concern, what would be the inputs that are mandate to run this tool. For example Calculating the schedule we would need all the activity with there estimates, risk assessment done for all the activities and what else that is required.
Please help me on this
You will need to enter the estimated duration for activities, such as most likely, pessimist and optimistic.
How Monte Carlo Simulation help to find out Risk level? Please give examples
The example is given in the blog post.
Good article and expecting Latin Hypercube sampling also
I have noted your suggestion and I will try to write a post on this topic in future.
Simple and well explained. Has anyone heard of MC being used in construction projects ?
It is used on all types of projects.
Thank you so much Fahad! Very helpful! I have my exam scheduled on Sept 9th and i am going through all the anxiety to clear this exam
Thanks Lcm for your comment.
Very good and simple explanation.
Thanks Fahad !!
I am glad you liked it Ar. Thanks for your visit.
I like it. Thank you so much Fahad
Maysara
You are welcome Maysara.
Very simplified to understand. Thanks for the article….
You are welcome Ty.
Nice article…
The way of explanation is very good…
Thanks Professor.
Good article!
Thanks Mike for you visiting and leaving your comment.
Assalam o Aleikum, Brother,
In above example, Activity A will have pert estimate equal to 5 instead of 4.3.
{4+(4×5)+6}/6 = 5
Thank you for sharing . It was very informative.
The table is corrected.
Dear Fahad sb,
Assalam o Aleikum,
First of all, Jazak Allah Khair for writing this important blog post explaining technique used in quantitative risk analysis process.
1) In this blog post, I’m not understanding that how does Monte Carlo Simulation actually works and calculate chances of completion (%ages) ?
2) Any mathematical calculation or example or formula ?
Also, which software is required to run this simulation ?
WaSalaam,
You only come up with your estimates, and input these information into the program. The program will do the calculation for you.
There are many Monte Carlo simulation software available on the net. Just search it on Google and you will get many.