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Author Topic:   Statistics 101
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 9 of 199 (386522)
02-22-2007 9:29 AM
Reply to: Message 4 by jar
02-21-2007 11:36 PM


Well put jar
Maybe now nator will understand it.
Let me add that the odds of a particular number coming up is just a representation of the number of possibilities.
The odds of getting the number for a particular person cannot be figured, because we don't know what number they will pick, and what number will actually come out.
How can you explain the course of events that led that person to pick that number on the same day that the winning number came out?
There is your objective result, or you data, so now tell us nator, how did that person win? Keep in mind, that luck is not a scientific term.

This message is a reply to:
 Message 4 by jar, posted 02-21-2007 11:36 PM jar has replied

Replies to this message:
 Message 10 by PaulK, posted 02-22-2007 9:51 AM riVeRraT has not replied
 Message 11 by jar, posted 02-22-2007 9:54 AM riVeRraT has replied
 Message 14 by crashfrog, posted 02-22-2007 10:28 AM riVeRraT has replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 54 of 199 (386667)
02-22-2007 8:28 PM
Reply to: Message 11 by jar
02-22-2007 9:54 AM


Re: Well put jar
Luck exists?
Thatys breaking news, really, thats got to be sillier than both mine and nators positions.
BTW, siding with her, won't win her to God.

This message is a reply to:
 Message 11 by jar, posted 02-22-2007 9:54 AM jar has replied

Replies to this message:
 Message 56 by jar, posted 02-22-2007 8:41 PM riVeRraT has replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 55 of 199 (386671)
02-22-2007 8:35 PM
Reply to: Message 14 by crashfrog
02-22-2007 10:28 AM


Re: Well put jar
We know how lotto numbers are generated, so we can develop a sample space of outcomes. We know exactly how many different combinations (not permutations, the lottery doesn't work like that) of numbers are possible.
Your problem, and everyone else in this thread (maybe) is that your confusing the odds of winning the lotto, with the possibilities, or combinations.
When they give odds for winning, it is really nothing more than the possible combinations, thats it. They aren't, IMO odds for you personally.
To discount the math involved in figuring out what numbers a person would pick, verses numbers drawn, is a discredit, to the term odds, in a lotto.
i.e. some people have no chance at all of winning the lotto, and they never will.
That is why I say the person who wins on the first try, has an odd of 1-1. How to figure that out, is beyond me.
[qs]vwe can tell you, on average, how long it will be before somebody wins./qs
No you can't. Not accurately.
one generates one random lotto number every night, and the other machine generates a hundred thousand random lotto numbers every day
Well thats part of my point, you would then not only factor in the chances of a number coming out, you would then have to factor in the possibility of the number picked by the machine, combined, with the chance of a particular number coming out. IMO there is no way to accurately do that.
But if someone wins on the first try, then it was obvious, that their chance were 1-1. because they won. To deny that, is to deny raw data.

This message is a reply to:
 Message 14 by crashfrog, posted 02-22-2007 10:28 AM crashfrog has replied

Replies to this message:
 Message 59 by crashfrog, posted 02-22-2007 9:02 PM riVeRraT has replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 60 of 199 (386679)
02-22-2007 9:04 PM
Reply to: Message 56 by jar
02-22-2007 8:41 PM


Re: Not just OT but really silly, absurd even.
As for the rest, sure luck exists. It's not controllable or repeatable or subject to testing either.
Flood< explained.....

This message is a reply to:
 Message 56 by jar, posted 02-22-2007 8:41 PM jar has not replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 61 of 199 (386680)
02-22-2007 9:17 PM
Reply to: Message 59 by crashfrog
02-22-2007 9:02 PM


Re: Probabilities - not that hard, people
That's exactly what they are, because lottery tickets are indistinguishable. Hell, I mean, when you think about it - you don't win the lottery, your ticket does.
So then explain how the lotto ticket knows what number you are going to pick?
Because there are 146 million combinations of numbers, and every ticket represents one such combination, and the winning combination is selected at random, each ticket buys you a one in 146 million chance of winning.
Wrong. You do not have a 1 in 146 million chances of winning. There are only 146 million combinations, thats it.
If you are to accurately figure the odds, then you must do controlled experiments, and factor in every part of the equation.
Your leaving out the choices made by the purchaser.
No, of course you can - not only that, you can tell exactly how accurate your determination will be. Statistics and probability give you a way not only to estimate, but to estimate the accuracy of your estimations.
And still people win on their first try, amazing.
Think of a coin toss. (Fair coin, fair flip.) Not only do you know how often heads will come up - on average - you can make a determination of how many times you have to flip until you can be 95% certain (for instance) that the flipper has seen a heads result.
Yea, nator brought up the coin toss thing, and to tell you the truth, I am disappointed at the ability of people like you and nator to figure out the odds, of winning a coin toss.
There are two sides to a coin, that gives you two chances, thats it. That doesn't mean it's your odds.
Is the coin perfectly balanced?
Have you calculated every coin tood since the creation of coins?
Wind?
The strength of the flip.
The ability of the flipper.
on and on...
I work with hammers, and one of the things I can do is toss a hammer up in the air, flipping it 7 or more times, and manage to catch it on the handle. It's just a feeling I have from doing it so long. I am sure if I praticed with a coin long enough, I could increase my odds of having the coin toss ending up in my favor. Factor that in, would ya.
Some people play the lotto on a whim, and some people even have dreams about numbers, and then they come out. Factor that in would ya.
Only because you're apparently completely ignorant of statistics. Indeed, because we know the scope of what numbers a valid lottery generation generates, it's trivial to determine the sample space.
I never said it was the combinations available, I was talking about personal odds. If you think I don't understand combinations, then stop talking to me.
This is just a phenomenally ignorant statement. You have no idea how to figure probabilities, do you? In this case, it's really simple. How many possible numbers can be generated by one lotto drawing? (Remember that you have two sets of balls, each with the numbers 01 through 42; the first 5 numbers are drawn from the first set and the Powerball is drawn from the second. A winning ticket matches the first 5 numbers in any order and the Powerball exactly.)
There are people who have won the lotto twice, holy crap, they beat the odds, they would say. How can they do that?
Better to take your dollar and spend it on some gum.
Not for the guy who won.

This message is a reply to:
 Message 59 by crashfrog, posted 02-22-2007 9:02 PM crashfrog has replied

Replies to this message:
 Message 62 by crashfrog, posted 02-22-2007 9:38 PM riVeRraT has replied
 Message 99 by Modulous, posted 02-23-2007 2:08 PM riVeRraT has not replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 73 of 199 (386718)
02-23-2007 7:56 AM
Reply to: Message 62 by crashfrog
02-22-2007 9:38 PM


Re: Probabilities - not that hard, people
It's printed right on the front.
Haven't you ever played the lottery?
Really, the lotto tickets knows the exact number I am going to pick?
program a computer to generate random numbers like the lotto
This is my point, a number chosen by an individual is not random.
Unless your playing quick pick. Even with the quick pick, that person has to walk in the store at the correct time, and choose a quick pick. To me, that is part of the odds. (not combinations)
As for knowing "calculated every coin toss since the creation of coins", coins don't have memories, so that information isn't relevant.
Yea, but if we did calculate it, and we found out the 75% of the time, it comes out heads, wouldn't that make you wonder why?
Personal odds are what we're talking about. If you buy one ticket (and again, it doesn't matter how you pick the numbers on it), you have a 1 in 146 million chance of winning, same as everybody else who buys a ticket.
Of course it matters how I pick the number on that particular drawing.
If I pick the wrong number, I don't win.
Let's say I pick a different number every time, wouldn't increase the odds, or decrease them? (again, not combinations of numbers we are talking odds). Think of it as two random lines going through space, that hope to someday meet.
Your ignorance isn't improved by ignoring you.
Thanks for caring
I am not ignorant, understanding the conbinations of numbers, is childs play. I just disagree that the possible combinations of numbers, is the final word on your own personal odds, and the data shows us that people can beat the odds.
Not only that, ever see the machine that picks the numbers? Tell me that is completely 100% random. I know it is designed to be as random as possible, but is it really?
Why wouldn't they? Don't buy into Michael Behe's line of bullshit that low probabilities are the same as impossibilities.
I don't know who Michael Behe is.

This message is a reply to:
 Message 62 by crashfrog, posted 02-22-2007 9:38 PM crashfrog has replied

Replies to this message:
 Message 74 by PaulK, posted 02-23-2007 8:13 AM riVeRraT has replied
 Message 75 by cavediver, posted 02-23-2007 8:15 AM riVeRraT has not replied
 Message 77 by crashfrog, posted 02-23-2007 10:04 AM riVeRraT has replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 110 of 199 (386982)
02-25-2007 7:45 AM
Reply to: Message 77 by crashfrog
02-23-2007 10:04 AM


Re: Probabilities - not that hard, people
I think your wasting too much time on trying to explain this to me. I get how odds are figured out.
What your not taking into account is time. I agree with what Ned is saying, and I stick by my original statement.
The chance of a particular number coming up in the lotto, may be 146 million to 1, but if I win on the first try, then my odds for that try were 1-1, it's a proven fact, because I won.

This message is a reply to:
 Message 77 by crashfrog, posted 02-23-2007 10:04 AM crashfrog has replied

Replies to this message:
 Message 112 by sidelined, posted 02-25-2007 8:15 AM riVeRraT has replied
 Message 114 by Modulous, posted 02-25-2007 9:04 AM riVeRraT has not replied
 Message 115 by crashfrog, posted 02-25-2007 10:00 AM riVeRraT has not replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 111 of 199 (386983)
02-25-2007 7:53 AM
Reply to: Message 74 by PaulK
02-23-2007 8:13 AM


Re: Probabilities - not that hard, people
Here's a little exercise for you. What's the chance of you correctly guessing the outcome of a coin flip - heads or tails, assuming a fair coin. Show your working. Can you find a strategy that has a success rate that is better or worse than 0.5 ?
Since your question has to deal with guessing, that involves more than just a coin flipping.
There is two possible coin tosses, and two possible guesses.
4-1, or .25
Think of it as a coin toss deciding a coin toss

This message is a reply to:
 Message 74 by PaulK, posted 02-23-2007 8:13 AM PaulK has not replied

Replies to this message:
 Message 113 by Modulous, posted 02-25-2007 8:48 AM riVeRraT has replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 123 of 199 (387031)
02-25-2007 1:06 PM
Reply to: Message 112 by sidelined
02-25-2007 8:15 AM


Re: Probabilities - not that hard, people
If you were to hit a ball down the fairway of a golf course and it lands on whatever given point how can you establish odds for the location of where it finally lands after it comes to rest since you no longer have any other possible outcome?
When the ball doesn't go where you wanted it to go.

This message is a reply to:
 Message 112 by sidelined, posted 02-25-2007 8:15 AM sidelined has not replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 124 of 199 (387033)
02-25-2007 1:25 PM
Reply to: Message 113 by Modulous
02-25-2007 8:48 AM


Re: Probabilities - not that hard, people
I admit it, I was a little unsure of myself posting that, I really didn't think it through. It was more of a joke.
I wish I could remember how to program, I would like to generate a program that flips the coins, and see what result we get.

This message is a reply to:
 Message 113 by Modulous, posted 02-25-2007 8:48 AM Modulous has not replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 138 of 199 (387219)
02-27-2007 7:07 AM
Reply to: Message 126 by Modulous
02-26-2007 2:07 AM


Re: Probabilities - not that hard, people
You (and possibly rR) are the only people who have been confused about this concept for the past 125 posts.
I ain't confused, I was the one who wrote that original quote. I am glad you proved it for me. It was nator who got all upset whenever I said that.
Let me ask you a question.
If the chances of winning the lotto are 146 million to 1, and you play the lottos 146 million times, playing each combination, what are the odds of winning? What about if you play the same number for 146 million times, what are your odds of winning?
This is for the given amount of tries, not infinity.

This message is a reply to:
 Message 126 by Modulous, posted 02-26-2007 2:07 AM Modulous has replied

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riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 144 of 199 (387294)
02-27-2007 4:38 PM
Reply to: Message 142 by nator
02-27-2007 8:29 AM


Re: Probabilities - not that hard, people
Your still stuck in past tense, I have never denied the possible combinations in the lotto.
I don't see how anyone could figure out the odds for the question you quoted.
You could play the same number in the lotto for 146million times, and never win.

This message is a reply to:
 Message 142 by nator, posted 02-27-2007 8:29 AM nator has replied

Replies to this message:
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riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 151 of 199 (387360)
02-28-2007 10:15 AM
Reply to: Message 146 by crashfrog
02-27-2007 5:06 PM


Re: Probabilities - not that hard, people
But I think your response displays a characteristic mindset - "I don't know it; therefore, it's impossible for it to be known." It's the failure to accept that there's such a thing as expertise.
No I get it, really I do. I just feel there is more to it.
Expertise is relavant.

This message is a reply to:
 Message 146 by crashfrog, posted 02-27-2007 5:06 PM crashfrog has not replied

Replies to this message:
 Message 152 by mick, posted 03-01-2007 6:07 AM riVeRraT has replied

  
riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 153 of 199 (388164)
03-04-2007 10:35 PM
Reply to: Message 152 by mick
03-01-2007 6:07 AM


Re: monty hall problem
the one that will really freak you out is the monty hall problem.
Yea, it did freak me out, I admit, I cheated, I looked it up in wikipedia, and I would have answered that it was a 50/50 chance.
But this sort of explains how time is a factor in determining odds.

This message is a reply to:
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riVeRraT
Member (Idle past 447 days)
Posts: 5788
From: NY USA
Joined: 05-09-2004


Message 155 of 199 (388167)
03-04-2007 10:39 PM
Reply to: Message 154 by crashfrog
03-04-2007 10:37 PM


Re: monty hall problem
was that called for?
really....

This message is a reply to:
 Message 154 by crashfrog, posted 03-04-2007 10:37 PM crashfrog has replied

Replies to this message:
 Message 156 by crashfrog, posted 03-04-2007 11:55 PM riVeRraT has replied

  
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