Results 1 to 3 of 3

Thread: [SOLVED] horse racing question

  1. #1

    [SOLVED] horse racing question

    I have been scratching my head trying to work this problem out myself - with little joy I might add. So I am asking for help, please.

    If the best horse in the race has a 50% channce of winning the race, what is the probability the horse will finish in the first three places? Assume there are 8 runners in the race.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    GAMMA Mathematics
    colby2152's Avatar
    Nov 2007
    Alexandria, VA
    Either .643 or .875. The only given info you have is 50% chance of winning, and 50% chance of losing or getting 2nd, 3rd, 4th, 5th, 6th, 7th, or 8th place. If getting 2nd is just as easy as getting 8th (unlikely) then that 50% gets divided evenly for a 7.14% chance of getting one of those finishes. That is how I get .643. Another way to look at is 50% shot of getting 1st place. To get second is then a 25% chance, and 3rd is 12.5% chance...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Aug 2007
    Colby has provided some interesting conclusions based on sufficiently disclosed assumptions, but really, there just isn't enough information. You must make some sweeping assumptions to get any answer at all. After making sweeping assumptions, what have you accomplished? Pretty much nothing.

    It's something greater than 50%. THAT can be said.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Horse Pen
    Posted in the Geometry Forum
    Replies: 5
    Last Post: Jun 21st 2011, 07:05 AM
  2. Horse Racing Investment ratio optimisation
    Posted in the Algebra Forum
    Replies: 0
    Last Post: May 13th 2010, 06:19 PM
  3. Summation Help for Horse Racing Problem
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: Jan 22nd 2010, 11:08 AM
  4. A racing problem....
    Posted in the Statistics Forum
    Replies: 0
    Last Post: Mar 9th 2009, 05:35 AM
  5. Horse Math Question
    Posted in the Algebra Forum
    Replies: 1
    Last Post: Mar 24th 2007, 05:59 PM

/mathhelpforum @mathhelpforum