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 A Magic Die (Posted on 2010-06-10)
A magic die, with the numbers 1, 2, 3, 4, 6, and 7 on its six faces, is rolled.
After this 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 the previously odd numbers are increased by 3 and then all the even 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?

 See The Solution Submitted by Ady TZIDON Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
 Subject Author Date Magic die solution Dan Rosen 2010-06-16 13:27:01 Oz got it (maybe) Dej Mar 2010-06-11 04:06:32 Reconsider your solutions Ady TZIDON 2010-06-10 17:42:07 Can Merlin settle this? ed bottemiller 2010-06-10 13:21:46 re: analytical solution ed bottemiller 2010-06-10 12:51:33 re: analytical solution Charlie 2010-06-10 12:47:59 Assumptions ed bottemiller 2010-06-10 12:31:45 analytical solution Daniel 2010-06-10 12:03:08

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