Results 1 to 3 of 3

Math Help - Probability question

  1. #1
    Newbie
    Joined
    Feb 2007
    Posts
    16

    Probability question

    Two identical dice are thrown, one after the other. What are the probabilities that (i) the total of the numbers shown is 6, (ii) the second number is greater than the first? I got the answers 5/36 for the first part and 15/36 for the second. I think they are correct but to get the answer for part 1 I listed out the possible combinations of the two dice, and for part 2 I made a different list. Are there any other methods I could have used to arrive at the same answer?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Oct 2008
    Posts
    5
    Quote Originally Posted by david18 View Post
    Two identical dice are thrown, one after the other. What are the probabilities that (i) the total of the numbers shown is 6, (ii) the second number is greater than the first? I got the answers 5/36 for the first part and 15/36 for the second. I think they are correct but to get the answer for part 1 I listed out the possible combinations of the two dice, and for part 2 I made a different list. Are there any other methods I could have used to arrive at the same answer?
    1) Well, yes, there are 36 (6*6) different possibilites of outcome while throwing the dice and to get the sum of 6 there are 5 chances (1 and 5; 2 and 4; 3 and 3; 4 and 2; 5 and 1). So 5/36 must be right.
    2) Chances for that are ((5/6)+(4/6)+(3/6)+(2/6)+(1/6)+(0/6)) / 6=15/36
    Average for each dice thrown.. Well this would be the way I would calculate although I'm not sure whether there is a better way.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by david18 View Post
    Two identical dice are thrown, one after the other. What are the probabilities that (i) the total of the numbers shown is 6, (ii) the second number is greater than the first? I got the answers 5/36 for the first part and 15/36 for the second. I think they are correct but to get the answer for part 1 I listed out the possible combinations of the two dice, and for part 2 I made a different list. Are there any other methods I could have used to arrive at the same answer?
    Personally I'd use a dice table. Eg. Dice table
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: February 10th 2013, 02:11 PM
  2. Probability question..
    Posted in the Statistics Forum
    Replies: 0
    Last Post: January 21st 2011, 05:04 PM
  3. Probability question involving (A given B type question )
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: November 9th 2009, 09:08 AM
  4. Probability question
    Posted in the Statistics Forum
    Replies: 1
    Last Post: September 2nd 2008, 01:39 PM
  5. A probability question and an Expectations question
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: January 29th 2006, 06:13 PM

Search Tags


/mathhelpforum @mathhelpforum