Results 1 to 2 of 2

Math Help - Lottery disaster

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    7

    Lottery disaster

    I would consider this basic statistics, i think, though i still need a bit of help with it as a confirmation.

    The national lottery in england is: 6 numbers out of 49. simple. I filled in 2 lines of different numbers. i.e. 12 DIFFERENT numbers. the day of the lottery the 6 winning numbers were NONE of what i chose. I was so annoyed I started calculating the odds of:
    out of a total of 49 numbers, pick any 12. what is the chance that would not have got ANY of the 6 chosen randomly?

    I make this:
    (43/49)*(42/48)*(41/47)*(40/46)*(39/45)*(38/44)*(37/43)*(36/42)*(35/41)*(34/40)*(33/39)*(32/38)
    which to my horror turns out to be about 16%. So i should not be surprised there are no prises for not getting ANY numbers on the lottery! )

    can some1 please confirm my thoughts and calculations are indeed correct??

    thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Sambit's Avatar
    Joined
    Oct 2010
    Posts
    355
    You will not get any of the 6 numbers out of 49; so you are choosing 12 numbers from the (49-6)=43 numbers--which can be done in {{43}\choose{12}} ways (since the order does not matter),so the number of ways you won't get ANY of the 6 numbers is: {{43}\choose{12}}. Hence the required probability will be: \frac{{{43}\choose{12}}}{{{49}\choose{12}}}

    Note: It comes out to be 16.66%, like what you got.
    Last edited by Sambit; March 21st 2011 at 03:31 AM. Reason: Note added
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. About lottery
    Posted in the Statistics Forum
    Replies: 3
    Last Post: July 16th 2010, 02:57 PM
  2. Lottery probabilities
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: April 15th 2010, 03:44 PM
  3. Chain Rule Disaster
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 17th 2009, 02:37 AM
  4. lottery
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: April 10th 2009, 10:43 PM
  5. Lottery numbers
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: March 17th 2009, 07:52 AM

Search Tags


/mathhelpforum @mathhelpforum