Results 1 to 7 of 7

Math Help - Help with Some basic probability

  1. #1
    Junior Member
    Joined
    Oct 2010
    Posts
    49

    Help with Some basic probability

    Could I get some Help with basic probability

    1. In a basketball tournament, suppose that the probability that the ‘better’ team wins is 0.6. Given that there are 32 teams and that only the winning team goes through after each game, what is the probability that the best team wins the tournament?

    6. Show that P (A ∩ B) − P (A)P (B) = P ((A ∪ B)^c) − P (A^c)P(B^c)

    7. Show that if A is independent of itself then either P (A) = 1 or P (A) = 0

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1574
    Awards
    1
    Quote Originally Posted by Turloughmack View Post
    7. Show that if A is independent of itself then either P (A) = 1 or P (A) = 0
    \mathcal{P}(A)= \mathcal{P}(A\cup A)=2\cdot\mathcal{P}(A)- \mathcal{P}^2(A) . WHY?

    Can you finish this one?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2010
    Posts
    49

    basic probability

    Quote Originally Posted by Plato View Post
    \mathcal{P}(A)= \mathcal{P}(A\cup A)=2\cdot\mathcal{P}(A)- \mathcal{P}^2(A) . WHY?

    Can you finish this one?

    I dont know anymore help???
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1574
    Awards
    1
    Quote Originally Posted by Turloughmack View Post
    I dont know anymore help???
    Can you solve x=2x-x^2~?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Oct 2010
    Posts
    49
    Yeah x=2x -x^2

    so x(2-x) which means x=0 or x=2
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1574
    Awards
    1
    So \mathcal{P}(A)=0.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,686
    Thanks
    617
    Hello, Turloughmack!

    The first problem needs much more information.


    1. In a basketball tournament, suppose that the probability that
    the ‘better’ team wins is 0.6. .Given that there are 32 teams
    and that only the winning team goes through after each game,
    what is the probability that the best team wins the tournament?

    I will assume a "standard" elimination.

    In the first round, 16 pairs of teams play each other.
    The 16 winning teams advance to the second round.

    In the second round, 8 pairs of teams play each other.
    The 8 winning teams advance to the third round.

    In the third round, 4 pairs of teams play each other.
    The 4 winning teams advance to the semi-final round.

    In the semi-final round, 2 pairs of teams play each other.
    The 2 winning teams advance to the final round.

    In the final round, the remaing pair of teams play each other.
    And the winning team wins the tournament.


    There are 5 games; the best team must win all 5 games.

    Therefore: . P(\text{Best team wins}) \:=\:(0.6)^5

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Basic Probability Help
    Posted in the Statistics Forum
    Replies: 1
    Last Post: December 13th 2009, 06:50 AM
  2. Basic Probability help
    Posted in the Statistics Forum
    Replies: 4
    Last Post: October 23rd 2009, 12:18 AM
  3. Basic Probability help
    Posted in the Statistics Forum
    Replies: 7
    Last Post: October 7th 2009, 02:41 AM
  4. Basic Probability
    Posted in the Statistics Forum
    Replies: 4
    Last Post: April 11th 2009, 10:41 PM
  5. basic probability
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: February 17th 2009, 11:09 PM

Search Tags


/mathhelpforum @mathhelpforum