The “Monty Hall” Probability Problem and Scam Victim Recovery

A SCARS Institute Scam Victim Recovery Insight

I was thinking about a unique mathematical puzzle that is all about making better choices as new information becomes available. It is called the “Monty Hall” problem.

It’s a famous probability puzzle named after Monty Hall, the host of the American television game show “Let’s Make a Deal.”

Here’s how the classic problem works:

1. You’re presented with three closed doors.
2. Behind one door is a prize (usually a car), and behind the other two doors are goats (or other non-prizes).
3. You choose one door, but you don’t open it yet.
4. Monty Hall, who knows what’s behind each door, opens one of the remaining two doors to reveal a goat.
5. He always opens a door with a goat, never the one with the prize.
6. Monty then gives you a choice: stick with your original door or switch to the other unopened door.

The counterintuitive solution to this puzzle is that you should always switch doors, because you have new information.

If you don’t change, you have a 1/3 (one in three) chance of winning. By switching, you have a 2/3 probability of winning the prize, again, while sticking with your original choice gives you only a 1/3 probability of winning. Clear so far?

This seems paradoxical to many people because after Monty reveals a goat, there are only two doors left, which intuitively suggests a 50/50 chance. However, the key is that Monty’s action of revealing a goat provides additional information that changes the probabilities.

The reason switching gives you a 2/3 chance of winning is that:

• Your initial choice had a 1/3 probability of being correct
• It had a 2/3 probability of being incorrect
• When Monty reveals a goat, he’s essentially concentrating that 2/3 probability onto the remaining unopened door

This problem demonstrates how human intuition about probability can often be misleading, and it has become a classic example used in probability theory and statistics education.

So how does this matter to traumatized scam victims or survivors? Let me explain …

About Decisions

While it’s a mathematical puzzle about probability, its core lesson about decision-making under uncertainty and reassessing initial choices can be adapted as a powerful therapeutic metaphor for scam victims.

Here is a scenario where the Monty Hall dilemma framework could be used to help traumatized scam victims reframe their experience and aid in their recovery:

The “Recovery Door” Scenario: Applying Monty Hall to Scam Victim Support

Imagine a therapeutic framework designed to help scam victims understand their decision-making process and move forward. A counselor or support group facilitator could introduce this adapted scenario:

Let’s think about your experience using a modified version of a famous puzzle called the Monty Hall problem. Picture this:

The Setup: You’re standi ng before three doors in your life’s journey. Behind one door is your financial and emotional security. Behind the other two doors are different types of financial loss or emotional pain.

You make an initial choice based on the information you have at the time. Let’s say you choose Door #1. This represents your decision to trust the scammer or invest in that opportunity. At that moment, you had no reason to believe it was a bad choice.

The Revelation: Now, something important happens: the scam is revealed. This is like Monty opening one of the doors you didn’t choose to show you a goat. Let’s say Monty opens Door #3 and shows you that it would have led to an even worse outcome, perhaps a more devastating financial loss or a more emotionally damaging situation. This is equivalent to joining the SCARS Institute Scam Survivors’ Support and Recovery Community, but you have not really committed to anything yet.

The Dilemma: Now you’re faced with a choice: Do you stick with your original decision (Door #1), or do you switch to Door #2? Even not committing is committing; a non-choice is still a choice.

Many victims at this point feel locked into their original choice. They think, “I already made this decision, and it turned out to be wrong, so I must be foolish,” or “I should have known better.” They focus on the mistake of choosing Door #1 in the first place.

But here’s where the Monty Hall insight becomes valuable: The revelation of the scam (Monty opening Door #3) actually provides you with new information that changes the probabilities. Just as in the original problem, switching doors now gives you a better chance of finding security.

The Recovery Application: This framework helps victims understand several key points:

1. Initial decisions are made with limited information: Your choice to trust the scammer wasn’t foolish; it was based on the information available to you at the time, reinforced by manipulation and control.
2. New information changes everything: The revelation of the scam provides crucial information that you didn’t have when you made your original choice.
3. Switching strategies can improve outcomes: The most important lesson is that changing your approach after receiving new information dramatically improves your chances of recovery. By “switching doors”, seeking help, changing financial strategies, and learning new awareness skills, you’re actually making a statistically better decision. In fact, as more and more information is acquired, you can continue to refine your choice and commitment, improving your recovery chances even further.
4. Don’t get stuck in the original choice: The trap for many scam victims is focusing on their initial decision rather than recognizing that new information allows for a better strategic choice now. Examples of this are:
   • Chasing justice
   • Seek revenge
   • Scam Baiting
   • Continuing in denial
   • Seeking validation
   • Becoming a Savior
   • Money recovery fixated

The Therapeutic Value:

This framework can help victims in several ways:

• It externalizes the decision-making process, showing that their initial choice was made with limited information. Even later choices can still be made with limited information.
• It demonstrates the value of adapting strategies when new information becomes available.
• It provides a mathematical analogy for why changing course after a scam revelation is the optimal strategy, especially as you learn more and more.
• It helps victims understand that their intuition about probability might be misleading them, and what feels like sticking to their guns might actually be preventing recovery.
• It offers a clear, logical framework for understanding why seeking help and changing strategies after being scammed is the smart move, not an admission of continued foolishness.

Practical Implementation: A therapist or a support provider could use this framework to help victims:

• Recognize that their initial decision wasn’t the “wrong” choice but rather a choice made with incomplete information.
• Understand that adapting their strategy after the scam revelation is actually the optimal mathematical approach. And continuing to adapt as new reliable information is the right course, but continuing to make emotional decisions is the wrong course.
• Feel less shame about their initial decision by recognizing that even with a 1/3 chance of making the right choice initially, they now have a 2/3 chance of recovery by switching strategies.
• Develop a more rational approach to future decisions by understanding how new information should alter their strategies.

This Monty Hall adaptation transforms a mathematical puzzle into a therapeutic tool that potentially helps scam victims reframe their experience, reduce shame, and understand the value of changing strategies in response to new information, exactly what’s needed for recovery.

Prof. Tim McGuinness, Ph.D.
June 2026