Either you were given X and the other envelope contains X/2, xor you were given X and the other envelope contains 2X. Those are separate cases. If you were given X and the other envelope contains X/2, you'd lose X/2. If you were given X/2 and the other envelope contains X, you'd gain X/2. In the second case, if you were given X and the other envelope contains 2X, you'd gain X, if you were given 2X and the other envelope contains X, you'd lose X. If you're in the first case, the expected gain of switching is 0, if you're in the second case, the expected gain of switching is 0, both cases are equally likely, so the expected gain of switching is 0. — fdrake
Whether you benefit by switching or not is dependent on what envelope you just chose, which must be Envelope X or Envelope 2X where X is a given sum of money. So, switching can only ever take you from Envelope X to Envelope 2X (+X) or from Envelope 2X to X (-X). — Baden
So, you have 10. But only one scenario applies to your choice, either the one where you lose by switching in which case X is five and 2X is 10, or you gain by switching in which X is 10 and 2X is 20. You can't be in both scenarios at the same time and X has a different value in both — Baden
We know the chosen envelope has £10 in your scenario and we also know that one of the envelopes contained an amount X and one of the envelopes contained an amount 2X, and therefore we know we can only move from X to 2X or from 2X to X by switching. Therefore we know we have a 50% chance of gaining X by switching and a 50% chance of losing X by switching and that therefore there is no point in switching.
You're using X to refer to both the X in the scenario where switching gets you less and in the scenario where switching gets you more. But given any given amount you see in front of you after already choosing an envelope, those are not the same X. — Baden
"Should we give Trump a platform?": is the wrong question. "Why is a reactionary fuck like Trump so successful?", should be the question. — Benkei
Possible answer: because the material conditions for US citizens are conducive to him getting a platform. — Benkei
Let's say that I wanted to bet on a coin toss. I bet £100 that it will be tails. To increase the odds that it's tails, I ask you to put me to sleep, wake me up, but me back to sleep, wake me up, put me back to sleep, wake me up, and so on. Does that make any sense? — Michael
Given that there's £10 in my envelope, the probability that the other envelope contains £5 is equal to the probability that the other envelope contains £20; that probability being 1/2.
As an analogy, if I flip a coin and hide it from you, it is correct for you to say that the probability that it landed heads is equal to the probability that it landed tails; that probability being 1/2. — Michael
If there are Russian influencers on this forum — Christoffer
But that would be a violation of the first amendment. I don't think any government agencies are actually advising people to become trans, are they? — frank
Strawman again... seriously, get your medicine or whatever. — Christoffer
Affirming your right to be a Muslim is tantamount to forcing people to be Muslims? — frank
I guess that's why I favor state patient advocates and psychologists. Let them figure it out. — frank