1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Probability in a die

  1. Sep 29, 2008 #1
    1. The problem statement, all variables and given/known data
    Suppose we have a biased three sided die. When trying to calculate the probability of rolling a number, we find that half of the time we're accurate, and the other half of the time we observe a random number 1 through 3 (uniformly distributed). I've calculated the probability distribution of observing a given number as [itex] \rho = \begin{pmatrix} p_1 \\ p_2 \\ p_3 \end{pmatrix} [/itex]. That is, the probability of rolling "i" is [itex] p_i, i=1,2,3 [/itex]. Now let's say that in an experiment I throw the three sided die, and a "1" appears. I need to write down the probabilistic state describing my knowledge of how the die lies after the observation.


    2. Relevant equations

    Perhaps Baye's law on conditional probability
    [tex] P(a|b) = \frac{P(b|a)P(a)}{P(b)} [/tex]

    3. The attempt at a solution

    I would imagine this is a one-liner, but I can't quite figure out how to do it.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?



Similar Discussions: Probability in a die
  1. Probability problem (Replies: 0)

  2. Probability Question (Replies: 0)

  3. Exact Probability (Replies: 0)

  4. Card Probability (Replies: 0)

Loading...