Results 1 to 2 of 2

Thread: Probability/Expectation of game

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    14

    Probability/Expectation of game

    Hey guys I'm having a hard time on this problem ... any help would be great!

    In the game of "odd one out" three people each toss a fair coin to see if one of their coins shows a different face from the other two.
    a) After one play, what is the probability of some person being the "odd one out"?
    b Suppose play continues until there is an "odd one out". What is the probability that the duration is r plays?
    c) What is the expected duration of play?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    This is a geometric RV.

    q=P(HHH or TTT)=1/4

    So p=3/4 and E(X)=1/p=4/3

    P(game takes r plays)= pq^{r-1}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 10
    Last Post: Jan 21st 2011, 12:47 PM
  2. game probability
    Posted in the Statistics Forum
    Replies: 3
    Last Post: Jan 16th 2010, 07:15 PM
  3. Probability Game
    Posted in the Statistics Forum
    Replies: 0
    Last Post: Jun 10th 2008, 01:48 PM
  4. Some probability in the game Big 2
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: Nov 15th 2007, 11:44 PM
  5. probability game
    Posted in the Statistics Forum
    Replies: 2
    Last Post: Jan 5th 2007, 07:14 PM

Search Tags


/mathhelpforum @mathhelpforum