# Tag Info

Accepted

### 100 pieces 1 opportunity, choose wisely!

What you're missing here is the chance of playing at all, given that the game ends when someone finds the prize. (or, chance of finding a prize goes to 0, which is the same thing) ...
• 7,789

Actually,
• 34.3k

### 100 pieces 1 opportunity, choose wisely!

Other people have already given correct answers, but I wanted to suggest a different way of thinking about the question that involves less calculation:
• 121k
Accepted

### Distracted Monty Hall

You will win the car if a goat is revealed: In tabular form:
• 16.7k

### Monty Hall variation

A difference between the Monty Hall scenario and the train platform scenario is that After you remember that the train will definitely not be leaving from platform 2,
• 121k
Accepted

### Two player Monty Hall variation

They win with probability
• 4,787

### Monty Hall variation

Here's how the original Monty Hall worked: You pick a door. (2/3 chance of it being a goat, 1/3 chance of it being a car) Monty Hall opens a door that he knows has a goat in it, and then asks you if ...
• 9,327

• 91

### Two player Monty Hall variation

This solution was derived independently but the result is equivalent to the answer already given by Mark Tilford and the confident tone of a suggestion by Greg Martin led to the realization that this ...
• 21.9k
Accepted

### If the door in Monty Hall is opened by a person without knowledge of where the prize is, and also does not reveal prize, do the odds change?

This is the "ignorant Monty" variant of the problem and the probability is Proof:
• 8,590

### 100 pieces 1 opportunity, choose wisely!

Since It should be clear that
• 4,878
Accepted

### The Monty Hall Arena

Let me give it a try. Attempt at the bonus
• 9,850

### Two player Monty Hall variation

Alice and Bob start by assuming that the Goat is behind a specific door. If the doors are numbered 1, 2, and 3 then they might, for example, decide to assume the Goat is behind door 3. With this ...
• 51
Accepted

### The Monty Hall loot box

Let w and p ("win" and "pool") the two limiting proportions. Because of the pity timer we have If three goats are drawn we are guaranteed to lose. Otherwise our chances are 2:1 in ...
• 6,315

### Two player Monty Hall variation

I believe the answer is: Start with all possible permutations: Test the different strategies: Strategy 1: Strategy 2: Strategy 3: Strategy 4:

I believe
• 360

### Variation of Monty Hall problem for gambling on who is the champion soccer team

Original answer (now Part 1) If we assume each team has an equal chance of winning any particular match and that you know A plays B and C plays D in the first round. Then Second answer (now Part 2),
• 15.9k

### Monty Hall variation

When doing Bayesian updating on new information, we should change our probability assignment for a hypothesis only if the probability of seeing the new information depends on whether the hypothesis is ...
• 1,028
Accepted

• 7,820

### Distracted Monty Hall

I disagree with the 3/5 solution. I believe the problem as stated reduces to the original MHP, and thus the answer is still 2/3. I was wrong. The answer is indeed 3/5. See edit below. Leaving the ...

### If the door in Monty Hall is opened by a person without knowledge of where the prize is, and also does not reveal prize, do the odds change?

I mean the obvious answer with regards to whether you should revise your strategy, that apparently no one dared to produce is: Now with regards to the probability: which is an answer already given, ...
• 129

### 100 pieces 1 opportunity, choose wisely!

I will answer your edited question. In case that you have prior knowledge that the ones before you didn't find the price then the better turn is...the last. It's a little underwhelming but basically ...
1 vote

• 1,740
1 vote

### The Monty Hall Arena

Assuming this is supposed to work like the classical Monty Hall problem but with more than one step, we can get a higher chance to win the car than $\frac{2}{3}$. Choose the first door randomly. The ...
• 18.1k

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