I remember arguing with the professor in statistics 101 for economists when he explained exactly this problem. "implying from the start the coin was under one of the other cups" = total BS to me, back then and still now. If this is a condition that is important, then why don't they include it in the problem right from the start?Quote from Batman28:
but if you switch (implying from the start the coin was under one of the other cups) then 2/3 x 1/2 = 0.33.. i.e. higher probability.
Quote from Batman28:
the point I was trying to make is that this is a STATISTICAL argument.. I understand probability well.
My point was, if statistics was god in this life, we wouldn't have some of the problems we have around us. man's science is from his able perception, and remains more or less theory.
statistics rarely proves anything.
hope I make sense.
Quote from Batman28:
the point I was trying to make is that this is a STATISTICAL argument.. I understand probability well.
My point was, if statistics was god in this life, we wouldn't have some of the problems we have around us. man's science is from his able perception, and remains more or less theory.
statistics rarely proves anything.
hope I make sense.
This has nothing to do with statistics, its a question of probability. And judging by your refusal to make the correct decision to switch and your incorrect calculations above (0.16???) I'd say you still don't get it. Try reading the Wiki page previously linked.Quote from Batman28:
the 'right' answer of course STATISTICALLY, as he stated, is you should swap and change your decision. i.e. if you stick with ur decision then 1/3 x 1/2 = 0.16.. but if you switch (implying from the start the coin was under one of the other cups) then 2/3 x 1/2 = 0.33.. i.e. higher probability.

Quote from Batman28:
the point I was trying to make is that this is a STATISTICAL argument.. I understand probability well.
My point was, if statistics was god in this life, we wouldn't have some of the problems we have around us. man's science is from his able perception, and remains more or less theory.
statistics rarely proves anything.
hope I make sense.
Quote from Batman28:
well guess what, I actually happened to interview at Morgan Stanley quant trading team in London back in July with one of their top guys who reports directly to Yazid Sharaiha - their global head of quant trading.. I remember one of the questions that he asked me which I found ridiculous..
this is what he basically presented: imagine 3 cups and under one of them is a coin - and you have to guess under which the coin is sittin under.. assume the cups are numbered 1, 2 and 3.
now let's suppose you choose one of the cups e.g. 2. He then asks given that you choose any of the cups (2 in our example) and he takes one of the remaining cups away (not the one you chose), and if you had a chance to change your decision, would you stick to the cup you initially selected (i.e. 2)?
I immediately said yes. anyone with my mindframe would also stick to their original choice - I won't write an essay why.
the 'right' answer of course STATISTICALLY, as he stated, is you should swap and change your decision. i.e. if you stick with ur decision then 1/3 x 1/2 = 0.16.. but if you switch (implying from the start the coin was under one of the other cups) then 2/3 x 1/2 = 0.33.. i.e. higher probability.
I argued with him that this form of statistical thinking in dealing in the markets is a joke - and he agreed somewhat - but he said if they have a "quantitative/statistical MANDATE for clients" then they have to follow it and stick to it..
I'm not really surprised this is now happened. it made me think how some of these quant groups 'overfit' life with maths and ignore common sense at times.. i remember something one successful trader I met once said - "we use techniques we cannot explain but they seem to work".. just like the successful gamblers before there was statistics.. in other words, anything that can be explained (take statistics) doesn't ACTUALLY WORK.
p.s. don't pm me askin what I do etc no big deal.. it was just a junior graduate job.. and just to add, I searched him on facebook before the interview and he's on it.. just tels you what sort of people are on facebook too these days..
Quote from Batman28:
the point I was trying to make is that this is a STATISTICAL argument.. I understand probability well.
My point was, if statistics was god in this life, we wouldn't have some of the problems we have around us. man's science is from his able perception, and remains more or less theory.
statistics rarely proves anything.
hope I make sense.