Results 1 to 3 of 3

Math Help - The probability of a die landing on some number n times in m throws

  1. #1
    Junior Member
    Joined
    May 2010
    Posts
    63

    [Solved] The probability of a die landing on some number n times in m throws

    If a die is rolled 10 times, what is the probability that it lands on '6' exactly 5 times?

    My approach:
    There {10 \choose 5} ways for the number '6' to turn up 5 times in 10 throws.
    The probability of a '6' appearing after each throw is 1/6.
    The probability of any other number turning up after each throw is 5/6.

    So I have,
    P = {10 \choose 5} (1/6)^{5} (5/6)^{5}

    Am I thinking about this the right way? Thanks.
    Last edited by director; May 9th 2010 at 12:06 PM. Reason: problem solved
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,966
    Thanks
    1785
    Awards
    1
    Yes that is correct.
    It is simple binomal probability.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    May 2010
    Posts
    63
    Thanks.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. number of throws till die shows all faces
    Posted in the Statistics Forum
    Replies: 1
    Last Post: August 10th 2011, 03:35 AM
  2. Replies: 2
    Last Post: February 17th 2011, 07:22 PM
  3. Replies: 2
    Last Post: June 6th 2010, 06:05 AM
  4. Number of outcomes of two dice, three throws
    Posted in the Statistics Forum
    Replies: 4
    Last Post: May 25th 2009, 04:42 PM
  5. [SOLVED] [SOLVED] probability of fly landing on television screen
    Posted in the Statistics Forum
    Replies: 3
    Last Post: January 5th 2006, 07:14 AM

Search Tags


/mathhelpforum @mathhelpforum