Can someone explain the Monty Hall problem?

The Monty Hall problem has a very specific clause: Monty knows where the car is. He never chooses the door with the car. And by curating the remaining doors for you, he raises the odds that switching is always a good bet. Instead of one door, Monty eliminates 98 doors.

What is behind Door Number 3 game show?

Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat.

How does the 3 door riddle work?

Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?”

What is Monty Hall doing now?

As a marine biologist he supports charities associated with the marine environment, and is also a patron of Shark Trust. In 2015 Halls became president of the Galapagos Conservation Trust after serving as Ambassador for many years.

What happened to Monty Halls dog?

Sadly Reuben was diagnosed with heart disease in 2015 and was eventually put to sleep in 2016, dyeing in peace in Monty’s arms. We still consider Reuben as our Ambassadog, and know that he keeps a close eye on the sanctuary from his dog bed in the sky.

Why is the chance not 50/50 in the Monty Hall problem?

After the contestant’s initial pick, Monty opens 999,998 doors with goats behind them and o↵ers the choice to switch. In this extreme case, it becomes clear that the probabilities are not 50-50 for the two unopened doors; very few people would stubbornly stick with their original choice.

What is the probability of winning the three door puzzle?

In that case, the remaining door is guaranteed to be the correct door. Thus, by keeping your choice, the probability of winning is 2/3 x 0 = 0. Your total chances of winning by keeping your guess is: 1/3 + 0 = 1/3. Want To Change Your Guess? Again, let’s suppose that you guessed correctly.

How does the three door puzzle question work?

The “three door puzzle” is an interesting and unusual probability question. Here’s how it works. You are a contestant in a game show, and the game show host tells you there is a prize behind one of the three doors you face.

What is the probability that the car is behind door 1?

The probability that the car is behind door 1 is completely unchanged by the evidence. However, since the car can only either be behind door 1 or behind the door Monty didn’t reveal, the probability it is behind the door that is not revealed is 32. Therefore, switching is twice as likely to get you the car as staying.

What happens when you pick a door on a game show?

The game show host shows you three doors. He claims that behind one of the doors is the car, and behind the other two are goats. The game show host asks you to pick a door and explains what will happen after you pick your door. Before your door is opened, the host will open one of the other two doors at random.