# Dice rolls

Gold Member
I'm having a heckuva time flowcharting a boardgame.

First hurdle:

Here's the first six squares. Roll a 1 6-sided die:

Code:
Begin
[ ]
[ ]
[Scenario 1]
[ ]
[ ]
[Scenario 2]
What are the total chances of landing on Scenario 1?

They could roll any of the following:
3
1,2
1,1,1
2,1

Is it 1/6 + 1/36 + 1/216 + 1/36?

Yes. It must be.

So that's 49/216.

Related Set Theory, Logic, Probability, Statistics News on Phys.org
Perhaps writing it as a Markov model would help simplify the analysis?

Gold Member
Hm. Well, it is not entirely die-driven. I've just shown one part.

I'm having a heckuva time flowcharting a boardgame.

They could roll any of the following:
3
1,2
1,1,1
2,1

Is it 1/6 + 1/36 + 1/216 + 1/36?

Yes. It must be.

So that's 49/216.
What are the rules for going from step to step?

[Get 3, stop]; [get 1, roll again; get 2, stop]; [get 1 three consecutive times; stop] [get 2, roll again; get 1, stop] All other outcomes are a loss? If so, then I agree with your probability for getting any one of the four outcomes prior to the first roll.

Last edited: