Results 1 to 7 of 7

Math Help - Combinatorics problem

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    21

    Combinatorics problem

    The problem is a lottery problem. For the Mega Millions drawing, the official website says that there is a 1 in 306 chance of getting 3 out of the 5 regular numbers correct without matching the mega ball. The prof wants to see how we calculate this. I am stuck and getting nowhere near 306.



    This is where I am at...

    To figure out all the possible combinations of the 5 regular numbers is :

    C(56,5) which is 3819816

    from here I am lost
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Grandad's Avatar
    Joined
    Dec 2008
    From
    South Coast of England
    Posts
    2,570
    Thanks
    1
    Hello minkyboodle
    Quote Originally Posted by minkyboodle View Post
    The problem is a lottery problem. For the Mega Millions drawing, the official website says that there is a 1 in 306 chance of getting 3 out of the 5 regular numbers correct without matching the mega ball. The prof wants to see how we calculate this. I am stuck and getting nowhere near 306.



    This is where I am at...

    To figure out all the possible combinations of the 5 regular numbers is :

    C(56,5) which is 3819816

    from here I am lost
    For those of us not familiar with the Mega Millions lottery (this Forum has members all over the world!), it would help if you stated clearly what 'getting 3 out of the 5 regular numbers' means. You may even find that, in providing us with an exact formulation of the problem, you realise for yourself how to solve it.

    Grandad
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2009
    Posts
    21
    you have to pick 5 numbers from 1-56
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Grandad's Avatar
    Joined
    Dec 2008
    From
    South Coast of England
    Posts
    2,570
    Thanks
    1
    Hello minkyboodle
    Quote Originally Posted by minkyboodle View Post
    you have to pick 5 numbers from 1-56
    Yes. This can be done in \binom{56}{5} ways. And then what?

    Grandad
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Oct 2009
    Posts
    21
    I already know that the odds of getting 3 out of 5 is 1/306. I am just trying to do the proof and I am struggling to set it up.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Oct 2009
    Posts
    21
    I am going to try and re-word everything.

    in the lottery, the lottery people pick 5 numbers from 1-56. The odds of someone matching 3 of those 5 selected numbers is 1/306. How do we get there?
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor
    Grandad's Avatar
    Joined
    Dec 2008
    From
    South Coast of England
    Posts
    2,570
    Thanks
    1
    Hello minkyboodle

    I've just been doing some research into your Mega Millions lottery. You didn't say anything about the Mega Number - which (so I have discovered) does not have to match any of your numbers, and must figure in the calculation.

    You'll find the way the odds are calculated to give the 1 in 306 result just here. (Scroll down until you reach the paragraph for Payout = $7.)

    Grandad
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with combinatorics problem
    Posted in the Advanced Statistics Forum
    Replies: 5
    Last Post: December 7th 2010, 03:35 PM
  2. Combinatorics Problem
    Posted in the Discrete Math Forum
    Replies: 6
    Last Post: May 1st 2010, 05:22 PM
  3. Combinatorics problem
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: April 20th 2010, 01:25 PM
  4. Combinatorics problem
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: August 14th 2009, 10:48 AM
  5. Combinatorics Problem
    Posted in the Discrete Math Forum
    Replies: 9
    Last Post: March 5th 2008, 08:29 AM

Search Tags


/mathhelpforum @mathhelpforum