Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Relation between subspace union and probabilities union

  1. Apr 14, 2010 #1
    Today I was reading in a probabilities textbook that the probability of the union of two events is:

    [TEX] p(E_1 \cup E_2) = p(E_1) + p(E_2) - p(E_1 \cap E_2) [/TEX]

    and reminded me of the similarity with the dimension of the union of two subspaces of a vector space:

    [TEX] dim(V_1 \cup V_2) = dim(V_1) + dim(V_2) - dim(V_1 \cap V_2) [/TEX]

    Question is: is there a theory/generalization that makes two concepts a particular case of this more general theory? (they look very similar so there must be something common with those concepts)

    Thanks,
    Damián.
     
    Last edited: Apr 14, 2010
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Relation between subspace union and probabilities union
Loading...