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#376 2008-02-24 23:04:58

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Cow Bull 1

Guess#4: 314!


Why did the vector cross the road?
It wanted to be normal.

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#377 2008-02-25 23:21:10

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: Cow Bull 1

Oddly enough:

Guess#1: 952 – 2c

Guess#2: 297 - 2c

Guess#3: 829 - 2b

Guess#4: 314 - 1c

To Mathsys: That would not have been the answer due to Guess 3 results. Still, You might have just wanted to narrow down the possibilities.

I'm thinking one should get this already

Last edited by JohnnyReinB (2008-02-25 23:23:22)


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#378 2008-02-26 03:19:53

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Cow Bull 1

Mathsy has narrowed down the possibilities – and brilliantly done, too. Without his Guess#4, there’s a chance that the game might stretch to 7 guesses. Guess#4 has ensured that the game will not extend beyond 6 guesses.

Guess#5: 129

On the other hand, without his Guess#4, there would have been a probability of 0.25 that the game could have ended in just 4 guesses! tongue

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#379 2008-02-26 03:57:55

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Cow Bull 1

Hmm, let's see...

With Guess#4, the chances of the game ending at n guesses is:

4 - 0
5 - 0.75
6 - 0.25
7 - 0

(Because Guess#4 had a 0.5 chance of being 1B or 0, in which case guess#5 would have been certain. I got unlucky, but there's still a 0.5 chance that #5 will be right anyway)

If I'd made Guess#4 'normally', then the chances would be:

4 - 0.25
5 - 0.25
6 - 0.25
7 - 0.25

So that means that my way has a *slightly* better expected value of guesses needed.
Also a better worst case scenario, which is arguably more important.


Why did the vector cross the road?
It wanted to be normal.

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#380 2008-02-26 05:56:20

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Cow Bull 1

Well, whatever you’ve done, you are a genius. Worship.gif

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#381 2008-02-27 15:53:17

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: Cow Bull 1

JaneFairfax wrote:

Mathsy has narrowed down the possibilities – and brilliantly done, too. Without his Guess#4, there’s a chance that the game might stretch to 7 guesses. Guess#4 has ensured that the game will not extend beyond 6 guesses.

Guess#5: 129

On the other hand, without his Guess#4, there would have been a probability of 0.25 that the game could have ended in just 4 guesses! tongue

I am not good at this!

Guess 5: 3b!

I guess you won, with special mentions to Mathsys


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#382 2008-03-03 18:21:49

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: Cow Bull 1

No one?

Okay, I thought of another one... Gud luck!


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#383 2008-03-04 00:51:26

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Cow Bull 1

Guess#1: 357

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#384 2008-03-05 00:37:39

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: Cow Bull 1

Guess 1: 357: 1C


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#385 2008-03-05 00:42:51

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Cow Bull 1

Guess#1: 357 (1c)
Guess#2:  831

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#386 2008-03-05 23:07:15

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: Cow Bull 1

Guess#1: 357 (1c)
Guess#2:  831(nil)


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#387 2008-03-05 23:19:48

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Cow Bull 1

Guess#1: 357 (1c)
Guess#2: 831 (nil)
Guess#3: 596

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#388 2008-03-07 16:51:35

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: Cow Bull 1

Guess#1: 357 (1c)
Guess#2: 831 (nil)
Guess#3: 596 (2c)


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#389 2008-03-08 02:44:04

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Cow Bull 1

Guess#1: 357 (1c)
Guess#2: 831 (nil)
Guess#3: 596 (2c)
Guess#4: 645

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#390 2008-03-08 12:21:33

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: Cow Bull 1

Guess#1: 357 (1c)
Guess#2: 831 (nil)
Guess#3: 596 (2c)
Guess#4: 645 (2b)


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#391 2008-03-08 13:23:15

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Cow Bull 1

Guess 5: 625.
(I believe the reply to this guess will be enough to get a definite answer.)


Why did the vector cross the road?
It wanted to be normal.

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#392 2008-03-09 16:36:21

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: Cow Bull 1

Guess#1: 357 (1c)
Guess#2: 831 (nil)
Guess#3: 596 (2c)
Guess#4: 645 (2b)
Guess#5: 625 (3b)

I am not good at this one!

Mathsys wins, with special mention to Jane


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#393 2008-03-09 23:47:51

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Cow Bull 1

My turn!


Why did the vector cross the road?
It wanted to be normal.

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#394 2008-03-10 00:27:57

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Cow Bull 1

Guess#1: 102

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#395 2008-03-10 07:11:37

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Cow Bull 1

#1: 102 (1c)


Why did the vector cross the road?
It wanted to be normal.

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#396 2008-03-10 09:52:04

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Cow Bull 1

Guess#1: 102 (1c)
Guess#2:  314

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#397 2008-03-10 10:21:02

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Cow Bull 1

Haha, nice guess. Wrong though. smile

#1: 102 (c)
#2: 314 (bc)


Why did the vector cross the road?
It wanted to be normal.

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#398 2008-03-10 12:44:41

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Cow Bull 1

Guess#1: 102 (1c)
Guess#2: 314 (1b,1c)
Guess#3: 513

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#399 2008-03-10 16:25:28

JohnnyReinB
Member
Registered: 2007-10-08
Posts: 453

Re: Cow Bull 1

Guess #5: 402

P.S. I'm not good at this!


"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted" wink

Nisi Quam Primum, Nequequam

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#400 2008-03-11 03:40:40

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Cow Bull 1

#1: 102 (c)
#2: 314 (bc)
#3: 513 (b)
#4: 402 (b)

Fun fact: Knowing the answers to the first three, the answer to the fourth can be deduced.
#4 was guessed before #3 was answered though, so it wasn't a bad guess.


Why did the vector cross the road?
It wanted to be normal.

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