Monty Hall Problem: what should you do?

Question: Lots of TV game shows are based on luck, but is there anything you can do to improve your chance of winning?

For contestants of a famous game show in the 1970s, the answer seemed illogical at first and confused some mathematicians.

The key to boosting the odds of winning lay in understanding probability, or the likelihood of something happening.

You’re in luck! You’ve been selected to be a contestant on a TV game show, and there’s a grand prize.

The rules are simple: You’ll be shown three doors, and all you need to do is pick one of them to win the prize behind it.

Behind one of the doors is the grand prize, a brand-new sports car, but behind each of the other two is a goat.

Goats are nice, but let’s assume you want to win the car.

Behind one of the doors is the grand prize, a brand-new sports car, but behind each of the other two is a goat.

Goats are nice, but let’s assume you want to win the car.

It’s time to make your choice. Dramatic music plays, the spotlight shines on you. You cant put the decision off any longer-the host needs an answer.

You pick the blue door.

Before opening the blue door, the host helps you out a little by revealing one of the goats.

Fact: The host knows which door the car is behind and will always open a door to reveal a goat.

He opens the green door—a bleating goat steps forward.

The host then asks you whether you want to stick or switch—in other words:

Are you happy with your original choice of the blue door, or would you prefer to switch to the pink door? What do you do?