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RMK

Final Days of the Trump Presidency?

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JerryBaumchen

Those two words, possibility & probability, mean different things.



Those words actually do mean roughly the same thing. Probability is the measurement of the likely outcome.

However, I get where you were going with this - "probable" which is a likely outcome.
"Pain is the best instructor, but no one wants to attend his classes"

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sudo242



You know for a fact that impeachment is nothing more than political propaganda because it requires a two thirds majority vote in both the house and the senate and that of course is not possible under any scenario.



Simple majority in the house is all that is required to impeach. The Senate doesn't get involved until the impeachment is passed, and needs 2/3 to convict.

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Correct, but it was in reference to the word “probability” not probable.

Queens English please; now we can return to our fun and games here.
"Pain is the best instructor, but no one wants to attend his classes"

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sudo242

Leftist extremist efforts to make their case is so often rooted in condescension, hatred and ignorance that it’s deeply alienating.



Get over yourself. The opinions of those who choose to remain ignorant shouldn't matter as much as the opinions of those who make a concerted effort to become and remain informed citizens. Don't expect the respect if you're too lazy to make the effort.
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sudo242

Why is Canada picking a diplomatic war with Saudi Arabia and an economic war with the USA? You know what usually comes after that don't you? It won't end well for Canada.



Those darn Canadien warmongers, eh?

:S
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SkyDekker

Quote

Those words actually do mean roughly the same thing.



No they don't.

Things that are probable are always possible, while things that are possible are not always probable.



Don't forget that an event can be possible while having a probability of exactly zero.
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billvon

>Don't forget that an event can be possible while having a probability of exactly zero.

If it has a probability of zero, it is not possible.



That's not actually true. It's all down to the Lebesgue measure of the open interval (a, b) being exactly equal to the Lebesgue measure of the closed interval [a, b], a < b, both real.

Thought of a different way, when we integrate over (a, b), we get the same result as if we integrate over [a, b] (assuming the integral is defined on both intervals, of course).

If we are to randomly select a number from [a, b], the probability of that number being a is exactly zero, likewise for b. It is, however, possible that the selected number is a or b. The same is true of any particular (i.e., specified before the random selection takes place) number in [a, b].
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RMK

Watching the news just now; this is starting to get fun.

Meanwhile, while this is happening, he’s on his way to one of his trademark white trash festivals (AKA Trump Rally).



And Hillery was the crook? Huh :S

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RMK

Correct, but it was in reference to the word “probability” not probable.

Queens English please; now we can return to our fun and games here.



Yeah but wouldn't that make it proubauble or some silly crap. Ya'll need to learn English.
"I encourage all awesome dangerous behavior." - Jeffro Fincher

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jcd11235

***>Don't forget that an event can be possible while having a probability of exactly zero.

If it has a probability of zero, it is not possible.



That's not actually true. It's all down to the Lebesgue measure of the open interval (a, b) being exactly equal to the Lebesgue measure of the closed interval [a, b], a < b, both real.

Thought of a different way, when we integrate over (a, b), we get the same result as if we integrate over [a, b] (assuming the integral is defined on both intervals, of course).

If we are to randomly select a number from [a, b], the probability of that number being a is exactly zero, likewise for b. It is, however, possible that the selected number is a or b. The same is true of any particular (i.e., specified before the random selection takes place) number in [a, b].

I learned everything I needed to know about Lebesgue in grammar school, but for our less educated friends, this should be very helpful:

https://en.m.wikipedia.org/wiki/Lebesgue_integration

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jclalor

******>Don't forget that an event can be possible while having a probability of exactly zero.

If it has a probability of zero, it is not possible.



That's not actually true.

Ok to close out this side issue, while I didn't read up on Lebesque integration, are we just talking about the following problem of 'common normal language' vs. 'precise mathematical definitions'?:

- If we're talking about say physical objects in the real world sense, it you are picking out objects but have a zero probability of picking a particular one, then one is saying it is impossible to pick that one. So in normal real world use, it works -- probability zero is the same as 'impossible'.

- But when one is talking mathematically, if one is picking say any number between 1 and 10, and are not limited to integers, but are using all real numbers (eg, 3.1415926535...) , then one has an infinite choice. So a random pick could possibly come up with "3.0" but has a zero chance of doing so because there are infinite choices.

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pchapman

*********>Don't forget that an event can be possible while having a probability of exactly zero.

If it has a probability of zero, it is not possible.



That's not actually true.

Ok to close out this side issue, while I didn't read up on Lebesque integration, are we just talking about the following problem of 'common normal language' vs. 'precise mathematical definitions'?:

- If we're talking about say physical objects in the real world sense, it you are picking out objects but have a zero probability of picking a particular one, then one is saying it is impossible to pick that one. So in normal real world use, it works -- probability zero is the same as 'impossible'.

- But when one is talking mathematically, if one is picking say any number between 1 and 10, and are not limited to integers, but are using all real numbers (eg, 3.1415926535...) , then one has an infinite choice. So a random pick could possibly come up with "3.0" but has a zero chance of doing so because there are infinite choices.

The probability of picking a rational number at all (not just a specific one) from the set of reals is zero.
...

The only sure way to survive a canopy collision is not to have one.

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billvon

>Second, I'm not convinced impeachment would be best for the country anyway.

Well, _successful_ impeachment probably wouldn't be best right now, given who is waiting in the wings. Probably the best thing that could happen is to have the "hammer" of impeachment primed and ready to go; that might help keep Trump under control and less likely to do anything really dangerous.



We are far enough along in his presidency that we should wait and let the same people that voted him in to office do the right thing and vote him out.

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jcd11235

***>Don't forget that an event can be possible while having a probability of exactly zero.

If it has a probability of zero, it is not possible.



That's not actually true. It's all down to the Lebesgue measure of the open interval (a, b) being exactly equal to the Lebesgue measure of the closed interval [a, b], a < b, both real.

Thought of a different way, when we integrate over (a, b), we get the same result as if we integrate over [a, b] (assuming the integral is defined on both intervals, of course).

If we are to randomly select a number from [a, b], the probability of that number being a is exactly zero, likewise for b. It is, however, possible that the selected number is a or b. The same is true of any particular (i.e., specified before the random selection takes place) number in [a, b].

Sure, and technically collusion isn't a crime. But when people have a conversation and general terms are used.....

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Quote

We are far enough along in his presidency that we should wait and let the same people that voted him in to office do the right thing and vote him out.



Yup, together with those who failed to vote at all. All y'all learnt yer lesson yet?
Always remember the brave children who died defending your right to bear arms. Freedom is not free.

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jcd11235

***Leftist extremist efforts to make their case is so often rooted in condescension, hatred and ignorance that it’s deeply alienating.



Get over yourself. The opinions of those who choose to remain ignorant shouldn't matter as much as the opinions of those who make a concerted effort to become and remain informed citizens. Don't expect the respect if you're too lazy to make the effort.

You are talking to the mirror correct?
"America will never be destroyed from the outside,
if we falter and lose our freedoms,
it will be because we destroyed ourselves."
Abraham Lincoln

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gowlerk

Quote

We are far enough along in his presidency that we should wait and let the same people that voted him in to office do the right thing and vote him out.



Yup, together with those who failed to vote at all. All y'all learnt yer lesson yet?



I'm an optimist!

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kallend

The probability of picking a rational number at all (not just a specific one) from the set of reals is zero.



Even more generally (if I recall Real Analysis correctly), the probability of picking any element of a countable set from the set of reals is zero, because the Lebesgue measure of any countable set is zero.
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