All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Assigning a wonky die (Posted on 2006-04-28)
I have an unfair die whose sides are known to have the following probabilities:{.02,.04,.08,.12,.24,.5}
Assign the numbers {1,2,3,4,5,6} to these sides so the expected roll is the same as for a fair die.

Can you solve this without brute force?

 See The Solution Submitted by Jer Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: The answer is ... the same (Spoiler) | Comment 2 of 4 |

No.

I looked at this like 6 kids on a see-saw (Or forces on a lever). The farther from the center value (3.5) the bigger the force applied.  Thus the .5 should go near the center and the .24 near the center on the opposite side and brute force the rest of the numbers until it works.

1       2     3      4     5      6

.04   .08   .50   .12   .24   .02

.04   .16   1.50  .48  1.20  .12   = 3.5

or mirrored

6      5      4       3       2      1

.04   .08   .50   .12   .24   .02

.24   .40   2.00  .36   .48   .02   = 3.5

 Posted by Leming on 2006-04-28 13:39:07

 Search: Search body:
Forums (5)