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 Another Magic Die (Posted on 2012-02-28)
Remember this Magic Die? I've got another magic die, which is n-sided (with numbers 1 through n on its faces) and where n=0 mod 8.

After the first roll, if an odd number appears on the top face, all odd numbers on the die are squared. If an even number appears on the top face, all odd numbers are increased by 3 and then all numbers are halved and then squared.

If the given die changes as described and assuming a perfectly balanced die, what is the probability that the number appearing on the second roll of the die is 1 mod 8? How about 4 mod 8?

 No Solution Yet Submitted by Dustin No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: No Subject | Comment 5 of 8 |
(In reply to No Subject by Dej Mar)

Hmmm.... This does raise the question as to whether the transformations taking place after the first roll also happen on the second roll, as Dej Mar's comment implies.

 Posted by Charlie on 2012-02-29 00:17:02
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