36 Sums, Blank Dice
Date: 03/15/2001 at 02:04:22 From: Kim Subject: 36 sums - blank dice Hi, I was given this situation: You have two blank, six-sided dice, and you can put any numbers on them. The 12 numbers you choose should be able to allow you to make the sums from 1-36. I got a solution that allowed me to make sums from 0-35 that looks like this: Die 1 has 0, 1, 12, 13, 24, and 25 Die 2 has 0, 2, 4, 6, 8, and 10 I just can't see a way to choose other numbers to be able to make sums from 1 to 36. Thank you in advance if you can help me, Kim Probst
Date: 03/15/2001 at 12:49:38 From: Doctor Twe Subject: Re: 36 sums - blank dice Hi Kim - thanks for writing to Dr. Math. There are several ways to get the sums 1-36. You already have a pair of dice that generate sums 0-35, so how can you get each total to be 1 more than it currently is? Here's a hint: what would you do to one "standard" die to get the totals 2-7 instead of 1-6? An alternate way of approaching this problem is to think about our number system. For two-digit values, we have two digits (like two dice), and we get all the numbers from 00 through 99. How do we do that? Now think about base 6 instead of base 10... I hope this helps. If you have any more questions, write back. - Doctor TWE, The Math Forum http://mathforum.org/dr.math/
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