Problem 640

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tuple
Posts: 3
Joined: Sat Jan 28, 2012 4:16 am

Problem 640

Post by tuple » Wed Nov 07, 2018 2:05 pm

I know that this problem is rather new so I try to ask in a way that doesn't disclosure useful information. Suppose that the game described in this problem is played with a wheel with N pockets (N=2 and N=6) of equal size. For N=2 the expected number is 5.673651. The more precise value would be (I hope) 5.673650793650... (without rounding), so the eighth to twelfth digits after decimal points are 93650. Can anybody confirm these values for eighth to twelfth digits (all without rounding)?

N=2: 93650
N=3: 16302
N=4: 53254
N=5: 93356
N=6: 95798

philiplu
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Location: Redmond, WA, USA

Re: Problem 640

Post by philiplu » Wed Nov 07, 2018 9:56 pm

Your values for N=2 or 3 are correct. The rest are incorrect.
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jaap
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Re: Problem 640

Post by jaap » Thu Nov 08, 2018 10:30 am

It seems I'm having the same problem as tuple, as I get those answers too.

Edit: Solved it now. I had made an assumption that was not true in every situation, and from reading the problem's thread, many others did so too.

LarryBlake
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Re: Problem 640

Post by LarryBlake » Fri Nov 16, 2018 12:55 pm

@jaap, may I PM you my assumptions and a question? I believe I'm having the same difficulty tuple describes.
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jaap
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Re: Problem 640

Post by jaap » Fri Nov 16, 2018 1:33 pm

LarryBlake wrote:
Fri Nov 16, 2018 12:55 pm
@jaap, may I PM you my assumptions and a question? I believe I'm having the same difficulty tuple describes.
Sure, go ahead.

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