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

A Problem in Discrete Probability

  1. Oct 3, 2008 #1
    I recently came across a page named "Gems of Discrete Probability" - http://www.cse.iitd.ernet.in/~sbaswana/Puzzles/Probability/exercises.html

    Being a mathematics enthusiast, I tried the first question. Being very rusty in probability, I failed to come up with a satisfying answer: the best I got (for the first question, the expected number of empty bins) was an "open" formula:

    n /n\ /n-1\
    ∑ k * \k/ * \ k /
    \ n /
    Where the notation \k/ is the binomial coefficient, n!/k!(n-k)! .
    Is there any way to get rid of the ∑ here, is my solution wrong, is there any way to solve it that will not result in a sum, or is that the best answer?
    Thanks in advance,
    Woolly Rhino.
    Last edited: Oct 3, 2008
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

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

Similar Threads for Problem Discrete Probability Date
I The Halting Problem Mar 21, 2018
Discrete Math problem Feb 13, 2009
Simple Discrete Structures problem Sep 9, 2008
Discrete and continuous problems Jun 4, 2007
Unknown in discrete variable problem Mar 6, 2005