### Present Remotely

Send the link below via email or IM

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

# The Monty Hall Problem

No description
by

## Pamela Conley

on 4 August 2011

Report abuse

#### Transcript of The Monty Hall Problem

Door #1 Door #2 Door #3 The Monty Hall Problem You are on a game show. On this game show, the objective is to win a car as a prize. The host shows you three doors. He says that there is a car behind one of the doors and goats behind the other two doors. The host asks you to pick a door. The host opens one of the doors you didn’t pick to reveal a goat (because he knows what is behind the doors). You have one final chance to change your mind before the doors are opened and you get a car or a goat. The host asks you if you want to stay with your original choice or change your mind and pick the unopened door instead. What should you do? You pick a door but it is not opened. pam Conley 11A The Show The Problem The Controversy The Equation The Solution It's original host was Monty Hall, hence the name of the famous paradox. The Monty Hall problem is a probability puzzle loosely based on the television show "Let's Make a Deal." You are asked to pick a door Chosen Door Contents: GOAT Chosen Door Contents: GOAT Chosen Door Contents: CAR You Stay You Stay You Stay You Switch You Switch You Switch You Get:
GOAT You Get:
GOAT You Get:
GOAT You Get:
CAR You Get:
CAR You Get:
CAR Here's an easier way to think about it: Let the doors be called X, Y, and Z.
Let C(x) be the event that the car is behind door X, etc.