I guess I have the answer to it
I ran through some combinations and figured out the following so far:
If B1 is in
- 2, B2 hasn’t been in 1
- 3, D hasn’t been in 1
- 4, DT hasn’t been in 1
- 5, RT hasn’t been in 1
- 6, S hasn’t been in 1
If B2 is in
- 1, B1 hasn’t been in 2
- 3, D hasn’t been in 2
- 4, DT hasn’t been in 2
- 5, RT hasn’t been in 2
- 6, S hasn’t been in 2
I will do the rest later and edit it here, but if we continue this pattern, we will probably get the following, but need to be proven:
If D is in
- 1, B1 hasn’t been in 3
- 2, B2 hasn’t been in 3
- 4, DT hasn’t been in 3
- 5, RT hasn’t been in 3
- 6, S hasn’t been in 3
If DT is in
- 1, B1 hasn’t been in 4
- 2, B2 hasn’t been in 4
- 3, D hasn’t been in 4
- 5, RT hasn’t been in 4
- 6, S hasn’t been in 4
If RT is in
- 1, B1 hasn’t been in 5
- 2, B2 hasn’t been in 5
- 3, D hasn’t been in 5
- 4, DT hasn’t been in 5
- 6, S hasn’t been in 5
If S is in
- 1, B1 hasn’t been in 6
- 2, B2 hasn’t been in 6
- 3, D hasn’t been in 6
- 4, DT hasn’t been in 6
- 5, RT hasn’t been in 6
One example to make it easier to follow:
If you opened Door 1 and found the Special,
you wont find Boss 1 in 6
This changes the probabilities again:
If you start with 4 or 5 (lowest probability for being a trap) and find no trap
i.e. open 4 and find B1:
You will know that there is no DT in 1
So Door 1 has now just a 25% chance of being a trap (RT in this case)