Results 1 to 2 of 2

Math Help - What is the probability of the sum of 2 dice when rolling MULTIPLE times?

  1. #1
    Newbie
    Joined
    Nov 2012
    From
    Canada
    Posts
    1

    What is the probability of the sum of 2 dice when rolling MULTIPLE times?

    So the point of the game I have made up is get to 21 by rolling two dice. On the first roll you have a 100% chance of rolling a sum less than 21, a 0% chance of rolling a 21, and a 0% chance to roll over 21.

    If I roll again, what are the chances of getting a sum (when added with the first) lower, higher or exactly 21?

    How would I go about calculating this?

    How would I calculate this considering that the players may roll multiple times.

    Thanks in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,651
    Thanks
    602

    Re: What is the probability of the sum of 2 dice when rolling MULTIPLE times?

    Hey celebritycircus.

    There are techniques to calculate the sum of independent random variables and that can include discrete uniform random variables.

    Two techniques for this include Convolution and Probability Generating Functions for getting the distribution of the sum of discrete random variables that are independent:

    Convolution of probability distributions - Wikipedia, the free encyclopedia

    Probability-generating function - Wikipedia, the free encyclopedia
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Rolling dice probability
    Posted in the Statistics Forum
    Replies: 1
    Last Post: December 15th 2011, 07:22 AM
  2. Rolling 5 dice probability
    Posted in the Statistics Forum
    Replies: 3
    Last Post: May 27th 2009, 02:35 PM
  3. Replies: 2
    Last Post: February 22nd 2009, 11:37 PM
  4. Probability of rolling 2 dice
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: January 29th 2008, 10:33 PM
  5. two dice rolling probability? could use some help
    Posted in the Statistics Forum
    Replies: 10
    Last Post: July 15th 2006, 05:14 AM

Search Tags


/mathhelpforum @mathhelpforum