Rules:
1) There are three doors, only one of which is the right choice
2) You pick a door
3) Monty then opens door, which is neither your door nor the winning door
4) You then either stay with the door you chose initially, or change to the other remaining door
| All possible outcomes: | ||||||||||||||||||||||||
Correct door is: |
1 | 2 | 3 | |||||||||||||||||||||
Your initial pick is door number: |
1 | 2 | 3 | 1 | 2 | 3 | 1 | 2 | 3 | |||||||||||||||
Monty then picks door number: |
2 | 3 | 3 | 2 | 3 | 1 | 3 | 1 | 2 | 1 | 1 | 2 | ||||||||||||
You then pick door number: |
1 | 3 | 1 | 2 | 1 | 2 | 1 | 3 | 1 | 2 | 2 | 3 | 1 | 2 | 2 | 3 | 1 | 3 | 2 | 3 | 2 | 3 | 1 | 3 |
Did you STAY or CHANGE? |
S | C | S | C | C | S | C | S | S | C | S | C | C | S | C | S | S | C | S | C | C | S | C | S |
Was it the right door? |
Y | N | Y | N | Y | N | Y | N | N | Y | Y | N | N | Y | Y | N | N | Y | N | Y | N | Y | N | Y |
| Comparision of all possible outcomes: | |
Total number of possible outcomes: |
24 |
Times you changed and were right, or stayed and were wrong: |
12 |
| Times you stayed and were right, or changed and were wrong: | 12 |
| Overall odds: | 12/12 or 50/50 |