Results 1 to 2 of 2

Math Help - probability

  1. #1
    Newbie
    Joined
    Jun 2008
    Posts
    24

    probability

    I am so confused.
    Among 64 medical workers, 58 carry insurance, 33 are surgeons, and 31 are surgeons who carry insurance.
    a. If one of these medical workers is randomly chosen what is the probability that he is not a surgeon and does not carry insurance.



    b. Find the probability that he carries insurance given that he is not a surgeon.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,313
    Thanks
    1291
    Quote Originally Posted by rafaeli View Post
    I am so confused.
    Among 64 medical workers, 58 carry insurance, 33 are surgeons, and 31 are surgeons who carry insurance.
    Since 31 of those who carry insurance are surgeons, the other 58-31= 27 are not. Since 33 of the 64 medical workers are surgeons, the other 64- 33= 31 are not. This whole group can be divided into 4 separate groups: 31 surgeons who carry insurance, 33- 31= 2 surgeons who do not carry insurance, 27 non-surgeons who carry insurance, and 31- 27= 4 non-surgeons who do not carry insurance.

    a. If one of these medical workers is randomly chosen what is the probability that he is not a surgeon and does not carry insurance.
    Assuming that random here means all medical workers are "equally likely" to be chosen, this the number of surgeon who do not carry insurance divided by the total number of medical workers, 2/64.



    b. Find the probability that he carries insurance given that he is not a surgeon.
    This is the number of non-surgeons that carry insurance divided by the number of non-surgeons, 27/31.
    Last edited by mr fantastic; March 12th 2009 at 06:00 PM. Reason: Fixed quote tags.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 10
    Last Post: January 21st 2011, 11:47 AM
  2. Replies: 3
    Last Post: May 29th 2010, 07:29 AM
  3. fundamental in probability & convergence with probability 1
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: February 23rd 2010, 09:58 AM
  4. Replies: 1
    Last Post: February 18th 2010, 01:54 AM
  5. Replies: 3
    Last Post: December 15th 2009, 06:30 AM

Search Tags


/mathhelpforum @mathhelpforum