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

5 count bag of balloons, 6 color possibilities

  1. Sep 5, 2014 #1
    We have a standard assortment of balloons which is 6 different colors. We also have a 5 count bag of balloons which uses this standard assortment. Obviously you can get all 6 colors in a 5 count bag but my colleagues were curious about the other distributions.

    The chances of only getting one color is pretty straight forward 1 out of 6^4 or 1 out of 1,296 bags will only have one color. Likewise getting 5 different colors is easy to figure out (1 * 5/6 *4/6 * 3/6 * 2/6) 120 out of 1,296 bags. My question to you is the other possibilities...2, 3, and 4 colors? Does this involve Stirling numbers?

    1 color = 1/1,296
    2 colors = ?
    3 colors = ?
    4 colors = ?
    5 colors = 120/1,296

    Thanks!
     
  2. jcsd
  3. Sep 5, 2014 #2

    phinds

    User Avatar
    Gold Member
    2016 Award

    Hm ... maybe YOU can but I don't see how.
     
  4. Sep 5, 2014 #3
    Helpful, thanks.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: 5 count bag of balloons, 6 color possibilities
  1. Bagging ? (Replies: 5)

Loading...