Here's how I'd analyze/state it.

It all revolves around the first 'if' statement. If I choose an answer at random then I can't let any information from that answer influence my result or it wont be random. Since there are 4 choices and now I can't pay attention to what they are, then at random each has an equal probability. A 25% B 25% C 25% D 25%. So given enough tries that's how the results would distribute. But two of the answers are the same so I have a 50% chance of choosing the answer represented by A or D which are clearly now the wrong answer - they don't match. I have a 25% chance of choosing B which also doesn't match and C doesn't match anything. So the chance of being correct is 0%.

Robert C

On 10/29/11 8:27 AM, Victoria Hughes wrote:
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Best statistics question ever <http://flowingdata.com/2011/10/28/best-statistics-question-ever/>

Posted: 28 Oct 2011 01:25 AM PDT

Best Math Question EVAR <http://flowingdata.com/2011/10/28/best-statistics-question-ever/>

By way of Raymond Johnson <https://plus.google.com/116264189418994838408/posts/CSXeyftovTJ>, the best statistics multiple choice question ever written on a chalkboard. Try not to think too hard. [via <https://twitter.com/#%21/gnat/status/129654591200563201>]

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