Re: [FRIAM] [sfx: Discuss] Fwd: FlowingData - Best statistics question ever

2011-10-29 Thread Owen Densmore
On Sat, Oct 29, 2011 at 9:12 AM, Tyler White tylerwhitedes...@gmail.comwrote:

 The solution depends on how you consider the answers...  you can say that
 there are four unique answers (A, B, C, D) or you could say there are only 3
 answers (25%, 50%, 60%).  It's a trick question!  Hahahah

 Tyler White¹
 http://TylerWhiteDesign.com
 http://twitter.com/Uberousful

 On Oct 29, 2011, at 11:27 AM, Victoria Hughes wrote:

 --

 Best statistics question 
 everhttp://flowingdata.com/2011/10/28/best-statistics-question-ever/

 Posted: 28 Oct 2011 01:25 AM PDT

 [image: Best Math Question 
 EVAR]http://flowingdata.com/2011/10/28/best-statistics-question-ever/

 By way of Raymond 
 Johnsonhttps://plus.google.com/116264189418994838408/posts/CSXeyftovTJ,
 the best statistics multiple choice question ever written on a chalkboard.
 Try not to think too hard. 
 [viahttps://twitter.com/#!/gnat/status/129654591200563201
 ]
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Re: [FRIAM] [sfx: Discuss] Fwd: FlowingData - Best statistics question ever

2011-10-29 Thread Owen Densmore
Oops fat fingered earlier email.  I think this, as Tyler sez, is tricky
because of the double 25.  You have a 50% chance of 25, but only 25% of the
other two.  Like the Monty Hall, I'd like to hear a pro reason through to
the answer.

On Sat, Oct 29, 2011 at 9:39 AM, Owen Densmore o...@backspaces.net wrote:



 On Sat, Oct 29, 2011 at 9:12 AM, Tyler White 
 tylerwhitedes...@gmail.comwrote:

 The solution depends on how you consider the answers...  you can say that
 there are four unique answers (A, B, C, D) or you could say there are only 3
 answers (25%, 50%, 60%).  It's a trick question!  Hahahah

Tyler White¹
 http://TylerWhiteDesign.com
 http://twitter.com/Uberousful



FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org

Re: [FRIAM] [sfx: Discuss] Fwd: FlowingData - Best statistics question ever

2011-10-29 Thread Carl Tollander

Imagine it's not multiple choice...

On 10/29/11 9:44 AM, Owen Densmore wrote:
Oops fat fingered earlier email.  I think this, as Tyler sez, is 
tricky because of the double 25.  You have a 50% chance of 25, but 
only 25% of the other two.  Like the Monty Hall, I'd like to hear a 
pro reason through to the answer.


On Sat, Oct 29, 2011 at 9:39 AM, Owen Densmore o...@backspaces.net 
mailto:o...@backspaces.net wrote:




On Sat, Oct 29, 2011 at 9:12 AM, Tyler White
tylerwhitedes...@gmail.com mailto:tylerwhitedes...@gmail.com
wrote:

The solution depends on how you consider the answers...  you
can say that there are four unique answers (A, B, C, D) or you
could say there are only 3 answers (25%, 50%, 60%).  It's a
trick question!  Hahahah

Tyler White¹
http://TylerWhiteDesign.com
http://twitter.com/Uberousful




FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org

FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org

Re: [FRIAM] [sfx: Discuss] Fwd: FlowingData - Best statistics question ever

2011-10-29 Thread Robert Holmes
Zero. Because the actual correct answer is herring

—R

On Sat, Oct 29, 2011 at 10:08 AM, Carl Tollander c...@plektyx.com wrote:

  Imagine it's not multiple choice...


 On 10/29/11 9:44 AM, Owen Densmore wrote:

 Oops fat fingered earlier email.  I think this, as Tyler sez, is tricky
 because of the double 25.  You have a 50% chance of 25, but only 25% of the
 other two.  Like the Monty Hall, I'd like to hear a pro reason through to
 the answer.

 On Sat, Oct 29, 2011 at 9:39 AM, Owen Densmore o...@backspaces.netwrote:



 On Sat, Oct 29, 2011 at 9:12 AM, Tyler White 
 tylerwhitedes...@gmail.comwrote:

 The solution depends on how you consider the answers...  you can say that
 there are four unique answers (A, B, C, D) or you could say there are only 3
 answers (25%, 50%, 60%).  It's a trick question!  Hahahah

 Tyler White¹
 http://TylerWhiteDesign.com
 http://twitter.com/Uberousful



 
 FRIAM Applied Complexity Group listserv
 Meets Fridays 9a-11:30 at cafe at St. John's College
 lectures, archives, unsubscribe, maps at http://www.friam.org


 
 FRIAM Applied Complexity Group listserv
 Meets Fridays 9a-11:30 at cafe at St. John's College
 lectures, archives, unsubscribe, maps at http://www.friam.org


FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org

Re: [FRIAM] [sfx: Discuss] Fwd: FlowingData - Best statistics question ever

2011-10-29 Thread John Kennison

Self-referential statements can lead to paradoxes, so one could say the 
question is not well-formed because it is self-referential.

 If, as mentioned, choice (C) were 0%, and options (A),(B),(D) were unchanged, 
then the question leads to a paradox. 

If choice (D) were 50%, and options (A), (B), (C) were unchanged, then both 25% 
and 50% would be consistent answers --so (A), (B) and (D) would all be 
defensible (but, obviously, they cannot all be correct).

As it stands the answer appears to be 0% since every choice leads to a 
contradiction, but I would prefer the answer that the question is not 
well-formed. 

From: friam-boun...@redfish.com [friam-boun...@redfish.com] On Behalf Of Carl 
Tollander [c...@plektyx.com]
Sent: Saturday, October 29, 2011 12:08 PM
To: The Friday Morning Applied Complexity Coffee Group
Subject: Re: [FRIAM] [sfx: Discuss] Fwd: FlowingData - Best statistics question 
ever

Imagine it's not multiple choice...

On 10/29/11 9:44 AM, Owen Densmore wrote:
Oops fat fingered earlier email.  I think this, as Tyler sez, is tricky because 
of the double 25.  You have a 50% chance of 25, but only 25% of the other two.  
Like the Monty Hall, I'd like to hear a pro reason through to the answer.

On Sat, Oct 29, 2011 at 9:39 AM, Owen Densmore 
o...@backspaces.netmailto:o...@backspaces.net wrote:


On Sat, Oct 29, 2011 at 9:12 AM, Tyler White 
tylerwhitedes...@gmail.commailto:tylerwhitedes...@gmail.com wrote:
The solution depends on how you consider the answers...  you can say that there 
are four unique answers (A, B, C, D) or you could say there are only 3 answers 
(25%, 50%, 60%).  It's a trick question!  Hahahah

Tyler White¹
http://TylerWhiteDesign.com
http://twitter.com/Uberousful




FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org



FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org


Re: [FRIAM] [sfx: Discuss] Fwd: FlowingData - Best statistics question ever

2011-10-29 Thread Owen Densmore
If we take this seriously, which I doubt we should :), I think you'd have
to create a tree of probabilities much like monty hall problem.  (at least
if there isn't a trivial nifty solution!)

So start at the root of the tree, generate a branch for choosing each of
the three answers, 33.3% each.

Then place three branches at each for choosing that branch: 50% for 25%,
and 25% for 50% and 60%.  OK, 9 branches.

Now go through and add up all the probabilities that represent a right
path.  So for example, take 25% as the first branch, and look for the 25%
in the second branch.  Ditto for the other 2 possible paths.

This route gives 33.3% as the solution.  Hmm..

The other approach is to simply say a, b, c, d are the choices which gives
the 25%

Naturally the last approach is to say its a trick, or word game, or very
subtle problem statement.


On Sat, Oct 29, 2011 at 9:44 AM, Owen Densmore o...@backspaces.net wrote:

 Oops fat fingered earlier email.  I think this, as Tyler sez, is tricky
 because of the double 25.  You have a 50% chance of 25, but only 25% of the
 other two.  Like the Monty Hall, I'd like to hear a pro reason through to
 the answer.

 On Sat, Oct 29, 2011 at 9:39 AM, Owen Densmore o...@backspaces.netwrote:



 On Sat, Oct 29, 2011 at 9:12 AM, Tyler White 
 tylerwhitedes...@gmail.comwrote:

 The solution depends on how you consider the answers...  you can say
 that there are four unique answers (A, B, C, D) or you could say there are
 only 3 answers (25%, 50%, 60%).  It's a trick question!  Hahahah

Tyler White¹
 http://TylerWhiteDesign.com
 http://twitter.com/Uberousful



FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org