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Dice rolls

  1. Oct 28, 2009 #1

    DaveC426913

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    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 (Text):
    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.
     
  2. jcsd
  3. Oct 28, 2009 #2
    Perhaps writing it as a Markov model would help simplify the analysis?
     
  4. Oct 28, 2009 #3

    DaveC426913

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    Gold Member

    Hm. Well, it is not entirely die-driven. I've just shown one part.
     
  5. Oct 29, 2009 #4
    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: Oct 29, 2009
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