Results 1 to 2 of 2

Math Help - Probability of choosing workers

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    19

    Probability of choosing workers

    How do I do this problem its driving me insane!!!

    There are 200 applicants for 5 positions. Company narrows it down to 17 candidates. Ten are men. Seven are women. 5 workers are chosen at random from the 17. Find:

    four of the five hired are women
    only two of the males are hired
    at least one one of those hired is male
    exactly three of the males are hired


    thank you so much I can not figure this out for my life!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1
    Quote Originally Posted by skeltonjoe View Post
    How do I do this problem its driving me insane!!!

    There are 200 applicants for 5 positions. Company narrows it down to 17 candidates. Ten are men. Seven are women. 5 workers are chosen at random from the 17. Find:

    four of the five hired are women
    only two of the males are hired
    at least one one of those hired is male
    exactly three of the males are hired


    thank you so much I can not figure this out for my life!
    1
    4 women


    There are \binom{7}{4} ways to choose 4 women from 7,
    \binom{10}{1} ways to choose a man to go with each female group, \binom{17}{5} ways to choose 5 people from 17.

    Hence P(4W) = \frac{\binom{7}{4}\binom{10}{1}}{\binom{17}{5}}


    2
    2 men

    P(2M) = \frac{\binom{10}{2}\binom{7}{3}}{\binom{17}{5}}


    3
    at least 1 man

    This is the probability of no men subtracted from 1,
    since all probabilities sum to 1.

    P(at least 1 man) = 1-P(no men)=1-P(all women)= 1-\frac{\binom{7}{5}}{\binom{17}{5}}


    4
    3 men

    P(3M) = \frac{\binom{10}{3}\binom{7}{2}}{\binom{17}{5}}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. probability of choosing two word
    Posted in the Statistics Forum
    Replies: 3
    Last Post: October 5th 2010, 06:43 AM
  2. Probability: Choosing players from a group.
    Posted in the Statistics Forum
    Replies: 2
    Last Post: July 22nd 2010, 05:57 AM
  3. workers probability
    Posted in the Statistics Forum
    Replies: 2
    Last Post: February 21st 2010, 08:09 AM
  4. Probability of choosing balls in an urn.
    Posted in the Statistics Forum
    Replies: 1
    Last Post: May 3rd 2008, 05:50 AM
  5. Probability of choosing the same number?
    Posted in the Statistics Forum
    Replies: 4
    Last Post: October 7th 2007, 12:51 AM

Search Tags


/mathhelpforum @mathhelpforum