Originally posted by: alkemyst
wow high school student laughing...great.
nice brag and moan.
My '2 other here' refered to this post not all ATOT.
Didn't know you can pick your ranking based on only the classes you want counted.
I did crap GPA wise...I was given interviews by GT, MIT for engineering and was accepted to pharmacy college prior to even earning my AA degree. I know why my life is what it is, why are you teaching HS math and living on a farm.
Please oh great mathematics dude explain how I was wrong in the post you quoted.
Geez, you seem to want me to respond to so much... my college junior ranking wasn't based only on classes I wanted counted. I was ranked #1 of the entire junior class - from engineering students to English majors. Art class killed me.
Why am I teaching HS math and living on a farm? Maybe because I love teaching? I love my job? Seems like pretty good reasons to me, not to mention a nice pension plan plus summers off (although I often take college courses - I'm looking at a physics course at Cornell for next summer - it's nice to have the time for such opportunities.) I also not only teach "high school math" but also teach college level math (Calc I and II) as an adjunct professor. Additionally, the head of the math department at one of the local colleges seemed interested in getting me to teach there part time - I'm not really interested in pursuing that at this time though.
The farm is suited perfectly to my family. My younger son comes home from school, hops on his 2008 Yamaha 250F, and goes riding on his own track. My older son comes home from school, and is able to grab one of the guns and walk out the back door to go hunting for grouse, pheasant, deer, turkey, etc. (He seems bored of his KZ350 or whatever the heck that green thing is.) My wife and I enjoy access to the several thousand acres of state forest that are adjacent to our land (as well as enjoying our land) which provide us with plentiful opportunities for hiking, cross-country skiing (special cross country ski trails), kayaking, fishing, hunting, etc. Snowmobile trails cross within 50 yards of our property; one of these days on a whim we'll probably get a pair of snowmobiles so we can do that during the winter as well. The farm provides a nice "hobby" income (we take it a little more seriously than a simple hobby, although we could get away with about 20 minutes of work a day on most days) not to mention numerous tax write-offs and fresh food that we can be certain isn't full of artificial hormones, antibiotics, pesticides, etc.
While we lack the convenience of having a best-buy, staples, 3 malls, uncountable strip malls, etc., all within a mile of our house, we also benefit by an exceptional quality of living. I can't remember how long it's been since I heard someone else's car stereo, except on occasions I was in someone else's car. The state police & local police investigate crimes such as someone putting super-glue in the locks to a building - why? Because they don't have anything more major to bother with. Not ironically, over the next 2 miles on our side of the road there are several seasonal camps. The camps are all owned by "city people" who relish the opportunity to get away from the noise and bustle of Buffalo and Rochester. They come here as often as they can because they love the peace and quiet. Do people go to your neighborhood to have a nice vacation? Or do people prefer to leave your neighborhood when they need a vacation?
Now for the last part - explain how you were wrong??? Allow me to recap:
First, Special K described the gambler's fallacy (by name)
You responded that Special K doesn't understand the way odds and probabilities work.
Neurosynapsis, DBL, and TuxDave defended Special K's post as being correct, followed by jman19 claiming "self ownage."
Your response at that point to jman was that "I know I am very right here." And, there really wasn't a problem with that post. It appeared at that point that you actually did know what you were talking about and merely misinterpreted Special K's post.
Later, and again in response to Special K, your post was very ambiguous - the meaning could be taken two different ways. However, within that post, you quoted Special K - Special K calculated in that quote to find the probability of exactly one 6 in 100 rolls. You: "I am not sure how the odds work on guaranteeing only one roll of 6 comes up..." - at which point two high school students reading over my shoulder were laughing at you because A.) You quoted how to do it - the answer was in front of you. And, B.) it really is something we teach in high school. Regardless, Special K was correct again.
Shortly after, you stated "In reality your odds get better each time. This question is fundamentally flawed as only in theory would you ever see someone NOT get at least one 6 in 100 rolls of a 6-sided die assuming no trickery is involved. " No, the odds do NOT get better each time. That's what we've all been saying. Also, your "only in theory" claim is also invalid. The odds of 100 rolls without a 6 are about 1 in 82.8 million. It's like saying "only in theory" can someone win the lottery, because the odds are so high for it happening.
then
The odds of getting a 6 in 101 rolls improves each time that the event does not happen. FALSE
The odds of rolling a 6 on the 101st roll is a separate condition. TRUE (finally)
However; in gambling you are betting on occurances over trials...each event is not independent at all. Each event IS independent, you've said so yourself.
I don't think anyone here is understanding how the math really works in these situations based on the absurd statements made. Actually, I don't think anyone in here understands what you're trying to say - and the blame doesn't lie with us
It's all totally provable in usage and this is where the casinos figure out at what level to cap a game or to add another variable to offset the odds.
So the question that 'does your odds improve after 100 rolls of not getting a 6 of getting one if you keep rolling' is yes, WRONG AGAIN however; the odds of getting it on a certain # roll are a not improved. wtf, make up your mind
It almost seems that you're trying to say that if you keep rolling and rolling, you're bound to get a 6 sooner or later. No fucking shit. However, the odds never change. It's always 1/6 for each trial (and you agree with this). The odds of getting a 6 during the next 2 trials are exactly the same as they were before. The odds of getting a 6 during the next 20 trials are the same as they were during the first 20 trials. So, what the heck do you mean by "odds improve"?!!
Then
if you are at a casino and have not rolled a 6 in 100 rolls...your odds will continue to improve with further rolls even if days go by between those rolls. No one is understanding how this works...the only way you'd be back to 1/6 odds is if you were requiring it to happen on X roll.
Again, it's slightly ambiguous. But, the odds never change! Again, it almost seems that you're saying "keep rolling, eventually you'll get a 6. If you haven't gotten a 6 yet, keep rolling."
However, DBL stated that your odds of not rolling a 6 in 101 rolls are: (estimate.) And, if you've managed to get to the 101st roll without a 6, then the odds of not rolling a 6 during the next 101 rolls are exactly the same as they were during the first 101 rolls. You disagreed with him and stated that it's one cycle of 202 rolls. Sorry, but this is the one case where there's no ambiguity. You're wrong. The probability of not getting a 6 in 202 rolls is NOT the same as not getting a 6 during rolls 102 to 202 *given* that rolls 1 to 101 did not result in a 6. You don't improve your chances of winning by sticking with "6". If you suddenly switch to betting on 2 at that point, your chances are exactly the same as if you stayed with 6. If you switched to betting on 1 at that point, your chances are exactly the same as if you stayed with 6. If you decided to use the pattern 1,2,3,4,5,6,1,2,3,4,5,6,... over the next 12 or more rolls, your probability of eventually winning is exactly the same. It doesn't matter what you bet on - your odds of eventually winning stay the same.
You could roll your own little die, and always bet on whatever number your die showed... over the next 100 rolls, or next 500 rolls, all of the probabilities (individual rolls, groups of rolls, etc.) are exactly the same as if you picked 6 every one of those 600 rolls.
To your credit though, Alkemyst, I've figured out what you think you're saying. And, I think that you *do* have it correct in your head, mostly. However, man, you really need to work on reading what you've written before clicking "reply" - you frequently don't type what you mean, and it's what led to everyone attacking your posts.
But, essentially, what you're even attempting to say isn't quite correct, simply because you are linking the probabilities to continuing to bet on 6. The essential point which you apparently want to make is this: no matter how many rolls in a row you lose on, eventually, you're going to win a roll. No fucking shit.