Monty Hall
Consider a game show.
In the game you are facing 3 doors, behind one of which is a prize. Monty Hall, the host, asks you to pick a door, any door. You pick door A (say). Monty knowing where the price is opens door B (say) and shows voila there is nothing behind door B (Monty knows where the prize is located). Monty gives you the choice of either sticking with your original choice of door A, or switching to door C.
Select a door :
Enter choice by host Monty Hall :
| Location of the price | Probability | Probability bar |
| Door A | ||
| Door B | ||
| Door C |
You can use the select boxes above to simulate different scenarios and see the impact on the probability of the price being located behind each of the possible doors.