Guest Posted December 31, 2008 Report Share Posted December 31, 2008 You are among 9 people who are aplied for a good job. The boss asks you a question to give the job: I'll give you the name of a river, thats length is four digits in meters (abcd m.) Each of you will give me the second digit of that rivers length. (b in abcd) Who knows the digit, will get the job. If you didn't heard that rivers name before, which digit would you say? And why? ps: The boss tells that the requested digit is not 0. Assume that there are millions of rivers in the world in four digit length. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted December 31, 2008 Report Share Posted December 31, 2008 about the distribution of numbers in such cases. That's my contribution. I read about it, don't recall its name, nor the most probable digits. Well growing old is not all bad - there are the grandchildren... Wait, it's Benford's Law. Digits arrange logarithmically. The most likely digit is 1. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted December 31, 2008 Report Share Posted December 31, 2008 about the distribution of numbers in such cases. That's my contribution. I read about it, don't recall its name, nor the most probable digits. Well growing old is not all bad - there are the grandchildren... Wait, it's Benford's Law. Digits arrange logarithmically. The most likely digit is 1. Right on 1 is the most likely second digit with a probability of 11.389%. However, given that 0 is not a possibility when it is statistically the most probable at 11.968%. How does one calculate probabilities with 0 excluded. While 1 will still be the most likely ( I think) what are the odds when ignoring 0? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 1, 2009 Report Share Posted January 1, 2009 Right on 1 is the most likely second digit with a probability of 11.389%. However, given that 0 is not a possibility when it is statistically the most probable at 11.968%. How does one calculate probabilities with 0 excluded. While 1 will still be the most likely ( I think) what are the odds when ignoring 0? 12.5858? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 2, 2009 Report Share Posted January 2, 2009 As OP, I confess that I didn't calculated it yet. I found the theorem interesting, and wanted you to be aware of it. Mathematical result is not so important. I suppose Hakieken's solution is correct. I excluded zero, to make a little complex, but dividing the result by (1- result for 0) must give the result. I suppose Braisens result is it. The interesting point in the theorem is that: Distribution is irregular for first digits, but I have recently learned that, it is also irregular for second digits, though not as remarkable as in first digits. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 2, 2009 Report Share Posted January 2, 2009 You are among 9 people who are aplied for a good job. The boss asks you a question to give the job: I'll give you the name of a river, thats length is four digits in meters (abcd m.) Each of you will give me the second digit of that rivers length. (b in abcd) Who knows the digit, will get the job. If you didn't heard that rivers name before, which digit would you say? And why? ps: The boss tells that the requested digit is not 0. Assume that there are millions of rivers in the world in four digit length. nothing man just third persons got job Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 2, 2009 Report Share Posted January 2, 2009 I waz too lazy to read the problem first of all, and I dont get it in the first place SMARTY PANTS Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 2, 2009 Report Share Posted January 2, 2009 nothing man just third persons got job With the average Joe mindset I was thinken the majority of rivers are 1BCD Thefore I would've guessed 2 Since there is no 0, it can't be A0BC If it was 1,000, It would be 1(0<B)CD I really have no idea why this makes sense but cmon, Price is right ? We always see 12BC prices Id say 2. Then make up some German Theorem that the boss never heard of along with a $1000 donation to his company Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 2, 2009 Report Share Posted January 2, 2009 Who knows the digit, will get the job. If you are saying who knows the right digit will get the job then, this is a failed riddle. Since most of you saying the probability of guessing the right number, not knowing 100% that the number is right. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted January 3, 2009 Report Share Posted January 3, 2009 If you are saying who knows the right digit will get the job then, this is a failed riddle. Since most of you saying the probability of guessing the right number, not knowing 100% that the number is right. Allowing for variances in language fluency, the OP probably means to ask what number maximizes your chance of getting the job. Quote Link to comment Share on other sites More sharing options...
0 unreality Posted January 3, 2009 Report Share Posted January 3, 2009 can be extended to any amount of "first digits", with log(1 + 1/x) The bigger the input of the logarithm, the bigger the logarithm's result. Because x is inverted, you want it to be as small as possible for the highest chance. 0 is excluded, so the next lowest digit is 1. It wouldn't matter if he asked for any of the other four digits, the answer would be 1 in all cases where 0 was disallowed Quote Link to comment Share on other sites More sharing options...
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You are among 9 people who are aplied for a good job.
The boss asks you a question to give the job:
I'll give you the name of a river, thats length is four digits in meters (abcd m.)
Each of you will give me the second digit of that rivers length. (b in abcd)
Who knows the digit, will get the job.
If you didn't heard that rivers name before, which digit would you say? And why?
ps: The boss tells that the requested digit is not 0.
Assume that there are millions of rivers in the world in four digit length.
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