billvon 3,006 #51 August 22, 2018 >It is a possibility at anytime. >However, IMO it is not a probablility at this time. Fair point; I edited my post to make it clearer. Quote Share this post Link to post Share on other sites
RMK 3 #52 August 22, 2018 JerryBaumchenThose 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" Quote Share this post Link to post Share on other sites
headoverheels 333 #53 August 22, 2018 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. Quote Share this post Link to post Share on other sites
SkyDekker 1,465 #54 August 22, 2018 QuoteThose 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. Quote Share this post Link to post Share on other sites
RMK 3 #55 August 22, 2018 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" Quote Share this post Link to post Share on other sites
jcd11235 0 #56 August 23, 2018 sudo242Leftist 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.Math tutoring available. Only $6! per hour! First lesson: Factorials! Quote Share this post Link to post Share on other sites
jcd11235 0 #57 August 23, 2018 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? Math tutoring available. Only $6! per hour! First lesson: Factorials! Quote Share this post Link to post Share on other sites
jcd11235 0 #58 August 23, 2018 SkyDekkerQuoteThose 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.Math tutoring available. Only $6! per hour! First lesson: Factorials! Quote Share this post Link to post Share on other sites
billvon 3,006 #59 August 23, 2018 >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. Quote Share this post Link to post Share on other sites
jcd11235 0 #60 August 23, 2018 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].Math tutoring available. Only $6! per hour! First lesson: Factorials! Quote Share this post Link to post Share on other sites
434 2 #61 August 23, 2018 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 Quote Share this post Link to post Share on other sites
nigel99 501 #62 August 23, 2018 Next in line? Experienced jumper - someone who has made mistakes more often than I have and lived. Quote Share this post Link to post Share on other sites
DJL 235 #63 August 23, 2018 RMKCorrect, 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 Quote Share this post Link to post Share on other sites
RMK 3 #64 August 23, 2018 We're OK with the rest of the world misspelling or mispronouncing English words, but we expect that others at least use the correct word."Pain is the best instructor, but no one wants to attend his classes" Quote Share this post Link to post Share on other sites
jclalor 12 #65 August 23, 2018 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 Quote Share this post Link to post Share on other sites
pchapman 279 #66 August 23, 2018 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. Quote Share this post Link to post Share on other sites
kallend 2,027 #67 August 23, 2018 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. Quote Share this post Link to post Share on other sites
pchapman 279 #68 August 23, 2018 Ok, fair enough, there are "a lot" of real numbers. The example with a rational one kept the example simpler, even if it wasn't exhaustive. Quote Share this post Link to post Share on other sites
NewGuy2005 53 #69 August 23, 2018 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. Quote Share this post Link to post Share on other sites
SkyDekker 1,465 #70 August 23, 2018 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..... Quote Share this post Link to post Share on other sites
gowlerk 2,216 #71 August 23, 2018 QuoteWe 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. Quote Share this post Link to post Share on other sites
rushmc 23 #72 August 23, 2018 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 Quote Share this post Link to post Share on other sites
DJL 235 #73 August 23, 2018 Quote You are talking to the mirror correct? For some reason I read that in a Russian accent which made it funny on several levels."I encourage all awesome dangerous behavior." - Jeffro Fincher Quote Share this post Link to post Share on other sites
NewGuy2005 53 #74 August 24, 2018 gowlerkQuoteWe 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! Quote Share this post Link to post Share on other sites
jcd11235 0 #75 August 24, 2018 kallendThe 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.Math tutoring available. Only $6! per hour! First lesson: Factorials! Quote Share this post Link to post Share on other sites