The Woman with the World's Highest IQ: Marilyn vos Savant and the Controversial Monty Hall Problem

In September 1990, Marilyn vos Savant, widely acknowledged as having the highest IQ in history, sparked a heated debate that still fascinates mathematicians and the public today. Her response to the Monty Hall problem—a probability puzzle inspired by the famous game show Let’s Make a Deal—challenged conventional wisdom and provoked outrage among readers, including scientists.

The puzzle presents a scenario where a contestant faces three doors. Behind one door is a car, behind the other two are goats. After the contestant selects a door, the host (who knows where the car is) reveals a goat behind one of the remaining doors. The contestant then must decide: stick with their original choice or switch to the other unopened door?

Marilyn’s answer in her Parade magazine column was definitive: “Yes, you should switch.” Her reasoning? Switching doors increases the winning probability from 1/3 to 2/3.

The public reaction was explosive. She received over 10,000 letters, including nearly 1,000 from PhDs, with 90% claiming she was wrong. Critics mocked her answer with comments like: • “You’ve completely misunderstood probability.” • “This is the biggest blunder I’ve ever seen!” • “Perhaps women don’t understand mathematics like men do.”

Was she wrong? Absolutely not.

The mathematical explanation is straightforward:

1. Your initial probability of selecting the car is 1/3, while selecting a goat is 2/3.
2. If your initial choice was a goat (2/3 probability), the host will always reveal the other goat. Switching in this scenario guarantees winning.
3. If your initial choice was the car (1/3 probability), switching results in a loss.

Therefore, by switching, you win in 2 out of 3 scenarios, increasing your success probability to 2/3.

Marilyn’s answer was later validated through computer simulations at MIT, MythBusters testing, and eventual apologies from many academics who initially criticized her.

Why does this seem so counterintuitive? People mistakenly assume that after revealing a goat, the probability becomes 50/50 for the remaining doors. They fail to recognize that the host’s knowledge fundamentally changes the scenario—it’s not a reset of probabilities but a continuation of the original odds.

Despite her genius (with a reported IQ of 228), Marilyn faced financial struggles growing up and dropped out of college to support her family. Her brilliance later shone through her “Ask Marilyn” column, though she frequently faced skepticism simply because she challenged established thinking.

The Monty Hall problem stands as a powerful reminder of the gap between intuition and mathematics. Despite widespread ridicule, Marilyn stood by her answer, ultimately proving millions wrong and leaving a lasting mark on probability theory.

Her story testifies to the power of logic, perseverance, and courage in questioning public opinion—even when faced with overwhelming doubt. I find it particularly telling how many “experts” rushed to dismiss her, only to be proven wrong themselves. Perhaps there’s a lesson there about how we evaluate ideas based on who presents them rather than their actual merit.