Results 1 to 2 of 2

Math Help - Multiple permutations with varying probabilities

  1. #1
    ptt
    ptt is offline
    Newbie
    Joined
    May 2013
    From
    UK
    Posts
    1

    Multiple permutations with varying probabilities

    Hi all, first time here so I hope I'm in the right place. If not then an indication of where this should go would be great.

    The situation is this: I have 11 variables, each with 5 possible states, 0 through to 4. The probability of each variable being in each state is different:
    0 is 0.314055
    1 is 0.425012
    2 is 0.211677
    3 is 0.045687
    4 is 0.003568
    With 11 variables each being 0 to 4 then there are a total of 45 different "total" states, i.e. the sum of the states for each variable can range from 0 (all at state 0) to 44 (all at state 4).

    While it is easy enough to work out how many permutations will give us each state, what I am trying to calculate is the probability for each "total" state, e.g. what is the probability of the sum of the states being 22 (or whatever). Any ideas other than the long way of going through each permutation?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,030
    Thanks
    742

    Re: Multiple permutations with varying probabilities

    Hey ptt.

    The first thing to do is to take your probabilities and form a joint distribution.

    After you do this, then create a routine to evaluate a condition. For the sum of states, you will need to use a couple of for loops (or do loops) and fix the first value and inside a new loop pick a value for the second variable and so on right until the last variable, and get that specific probability.

    Then when it finishes, if you have added up all the probabilities then you will get the final probability.

    You will need to implement these functions yourself or use some statistics package that has a querying language and create instructions for that querying language to get the answer.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: April 2nd 2012, 10:54 AM
  2. Replies: 4
    Last Post: January 15th 2012, 12:44 PM
  3. Multiple Probabilities
    Posted in the Statistics Forum
    Replies: 7
    Last Post: April 15th 2011, 07:06 AM
  4. Stats: Multiple Probabilities
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: December 15th 2008, 09:22 PM
  5. Lotto Probabilities for multiple entries
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: May 2nd 2008, 02:40 PM

Search Tags


/mathhelpforum @mathhelpforum