Results 1 to 2 of 2

Math Help - Coin problem

  1. #1
    Member
    Joined
    Jan 2008
    Posts
    173

    Coin problem

    Ayushi has six coins with a total value of 30 cents. The coins are not all the same.
    Two of Ayushi’s coins will be chosen at random. What is the probability that the
    total value of the two coins will be less than 15 cents? Express your answer as a
    common fraction.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,748
    Thanks
    648
    Hello, sri340!

    Ayushi has six coins with a total value of 30 cents.
    The coins are not all the same.

    Two of her coins will be chosen at random.
    What is the probability that the total value of the two coins will be less than 15 cents?
    The only way to have 6 coins worth 30˘ is: 5 pennies and 1 quarter.

    There are: . {6\choose2} \,=\,15 possible outcomes.


    To have less than 15˘, we must draw two pennies.
    . . There are: . {5\choose2} \,=\,10 ways.


    Therefore: . P(< 15\rlap{/}c) \:=\:\frac{10}{15} \;=\;\frac{2}{3}


    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Coin problem
    Posted in the Math Puzzles Forum
    Replies: 7
    Last Post: July 24th 2009, 10:07 AM
  2. Coin problem.
    Posted in the Statistics Forum
    Replies: 1
    Last Post: April 1st 2009, 03:51 AM
  3. Coin problem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: January 21st 2009, 01:20 AM
  4. Coin Problem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 20th 2009, 05:03 PM
  5. Coin problem
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: April 2nd 2006, 05:09 AM

Search Tags


/mathhelpforum @mathhelpforum