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Do some number combinations have better odds?

Topic closed. 5280 replies. Last post 4 years ago by rdgrnr.

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 Posted: February 13, 2013, 11:13 am - IP Logged

Interesting there was only one repeat in the last 9 MM draws.... Has MM turned to PB drawing tactics?

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 Posted: February 13, 2013, 11:15 am - IP Logged
 Mega Millions Tue Feb 12, 2013 09-22-32-38-55**44x3

20106548586327886593 615 33818279682303019520

3 out of 5

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 Posted: February 13, 2013, 11:58 am - IP Logged

Not sure Jimmy, but could it be "luck"? And could you please give a substantive explanation of what the physical causative factors are behind "luck"? (I think it would be interesting to read your comments)

Ronnie316,

"Not sure..."  You're going to have to do better than that if you want to convince people that "...some number combinations have better odds."  (They don't.)

I've addressed the issue you raised here many times in the past.  In the interest of not reinventing the wheel, here is a link to some scholarly research dealing with it, followed by a rehash of my remarks to dr san about it.  I hope you won't waste any more of everyone's time trying to confuse these issues.

This is a very interesting article.  (Trying To Be Random in Selecting Numbers for Lotto - Boland) It could be subtitled, "Where Psychology Meets Mathematics!"

I wasn't able to access Speckman's article, "Lottery Loophole Explained."  Do you know what the loophole was, and how long after 1986 it took them to close it?

Here are a couple quotes from Boland's article that others here might enjoy:

"For Lotto 6/42, P(MG = 1) = 0.56 is the probability of a selection containing two consecutive numbers. Students usually find it very surprising and nonintuitive that it is more likely than not that a random selection will contain two consecutive numbers. Before giving students the probability of two consecutive numbers appearing in Lotto, it is a worthwhile exercise to test their intuition by asking them for estimates of it!"  (Read the article if this intrigues you!)

"5. Conclusions

"21 The whole concept of randomness is a delicate one, and one about which considerable research has been done, particularly in the field of psychology. Reichenbach (1949) claimed that humans are unable to produce a random sequence of responses, even when explicitly asked to do so, and considerable research since then (including our work) generally supports this. Many teachers/lecturers have told us of classroom activities they use to get students thinking about randomness, and Green (1997)gives an interesting account of an experiment on recognizing randomness.

"22 How well can individuals perform when they attempt to be random generators for a game like Lotto? Some interesting insights into human intuition about randomness may be obtained by asking a class of students to participate in an exercise that tries to answer this question. We asked each of the students in a large class to act once as a random generator for the winning numbers in our Irish National Lottery - Lotto 6/42 game. The results were then analysed and compared with actual recent winning selections in our Lotto game, as well as with another set simulated by computer. Using boxplots, histograms, QQ-plots, and some basic measures of spread in a sample, one is able to generate interesting classroom discussions about biases that individuals seem to possess. We observed (perhaps not surprisingly) that there seems to be a propensity for individuals to select numbers in increasing order. We also observed that individuals tend to select numbers which on the average are smaller (by at least two) than would be expected from a truly random generator. Of course, in other countries or states where a different form of Lotto is played, the results will probably differ. When it comes to the spread in a selection, we observed that individuals tend to make selections that are reasonably spread out as measured by sample variance, but not in other ways (for example, as measured by the so-called minimum gap in a selection). In particular, we observed a clear reluctance of individuals (compared to a truly random generator) to make selections containing consecutive numbers."

--Jimmy4164

Athens
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 Posted: February 13, 2013, 12:34 pm - IP Logged

@> jimmy4164

Did you by any chance read Taleb's Book "The Black Swan: The Impact of the Highly Improbable"?

Just curious...

6/49 dis(assembly)

Kentucky
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 Posted: February 13, 2013, 1:18 pm - IP Logged

Not sure Jimmy, but could it be "luck"? And could you please give a substantive explanation of what the physical causative factors are behind "luck"? (I think it would be interesting to read your comments)

The reason there are probabilities and odds is because something can happen and it's called luck or bad luck when somebody beats the odds and probabilities. Simply put, they had the "1" outcome out of many other possible outcomes.

There is a probability in this discussion that someone will make a remark or ask a question that is unrelated to the topic. There is also a probability that the person is suffering from delusions of grandeur and wants to dazzle us with their knowledge because they read an article on the Internet. As luck would have it, they decided to respond on your topic. We could try to pacify them with a response or suggest if they are really are interested in discussing their unrelated topic to start their own thread.

Here's an example:

"It really would be interesting to read a substantive explanation of just what people here believe the physical causative factors are behind a 'streak' in, say, roulette.

Personally I believe it would be a boring discussion and a waste of time on this thread because we're discussing picking or eliminating 28 numbers from a field of 56 and still retain the five winning numbers. With all the Internet articles you posted, surely one of them explains the mathematical factors behind steaks occurring in random events.

That being said, start your own thread and maybe you'll get "lucky" and get a response and your thread won't end up on page two.

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 Posted: February 13, 2013, 1:51 pm - IP Logged

@> jimmy4164

Did you by any chance read Taleb's Book "The Black Swan: The Impact of the Highly Improbable"?

Just curious...

Riscknight,

No, I haven't read The Black Swan.  However, I did read his earlier Fooled By Randomness, wherein he deals with "Black Swan" events.  I've read that he significantly expanded his treatment of the Highly Imporbable in this later book, and I hope to get time to read it some day.  Based on some of your recent posts I can see why you might be interested in Taleb's work.  I just hope you don't get mired down with some of the other posters here who believe they might be able to make one of these Black Swan events happen to themselves by judiciously choosing their own lottery numbers to play.

Although Stack47 seems to think my last post here was off topic, I think you might agree that it is possibly the most appropriate report of a scientific study that could be brought to bear on a question like, "Do some number combinations have better odds?"  Randomness is a fascinating concept that has been studied extensively by researchers in the fields of Mathematics, Psychology, and Philosophy.  It's very doubtful that anything new on the subject is going to emerge from the ramblings of the 2 principal posters in this thread.

Here's the link to the report on Randomness:

Here's a link to a discussion of Fooled By Randomness:

--Jimmy4164

Kentucky
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 Posted: February 13, 2013, 2:28 pm - IP Logged

Interesting there was only one repeat in the last 9 MM draws.... Has MM turned to PB drawing tactics?

Very interesting indeed because in 8 of the last 9 drawings any QP line that used any one of those numbers had no chance of matching five numbers.

"Has MM turned to PB drawing tactics?"

It's just the ordinary causative factors in random drawings when a trend or a streak occurs. There is a 61.5% probability that none of the previous numbers will be drawn making streaks likely and reducing the odds of matching five numbers to 2,349,060 to 1. They keep telling us some number combinations can't have better odds even though a group of 51 numbers using none of the previous drawn numbers should get better odds than a group of 51 number using one or more of those numbers in 61.5% of the drawings.

Athens
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 Posted: February 13, 2013, 2:37 pm - IP Logged

I'm not here to rain on anyone's parade.

I see "educated" people with different perceptions and I only wish that this "debate" was a teamwork instead.

6/49 dis(assembly)

Kentucky
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 Posted: February 13, 2013, 4:11 pm - IP Logged

Riscknight,

No, I haven't read The Black Swan.  However, I did read his earlier Fooled By Randomness, wherein he deals with "Black Swan" events.  I've read that he significantly expanded his treatment of the Highly Imporbable in this later book, and I hope to get time to read it some day.  Based on some of your recent posts I can see why you might be interested in Taleb's work.  I just hope you don't get mired down with some of the other posters here who believe they might be able to make one of these Black Swan events happen to themselves by judiciously choosing their own lottery numbers to play.

Although Stack47 seems to think my last post here was off topic, I think you might agree that it is possibly the most appropriate report of a scientific study that could be brought to bear on a question like, "Do some number combinations have better odds?"  Randomness is a fascinating concept that has been studied extensively by researchers in the fields of Mathematics, Psychology, and Philosophy.  It's very doubtful that anything new on the subject is going to emerge from the ramblings of the 2 principal posters in this thread.

Here's the link to the report on Randomness:

Here's a link to a discussion of Fooled By Randomness:

--Jimmy4164

"I think you might agree that it is possibly the most appropriate report of a scientific study that could be brought to bear on a question like, "Do some number combinations have better odds?""

Or we could have a class of first graders place 28 shining new pennies into five groups of five and one group of three. And then will give Bobby the five groups of five pennies, give Sally five other pennies and ask the class who has the most pennies.

"I hope you won't waste any more of everyone's time trying to confuse these issues.

The odds of any group of 28 numbers having a five number match is 39 to 1 and it's a mathematical fact thousands of groups of 28 will match five numbers in five consecutive drawings. If you're still confused why 5 of something is more than 1 of something, ask a first grader. And since we already acknowledged it is very difficult to predict which group of 28 numbers will have five consecutive matches, don't waste our time by asking "which one".

"Randomness is a fascinating concept that has been studied extensively by researchers in the fields of Mathematics, Psychology, and Philosophy."

If it makes you feel better, I give you a big "HOW ABOUT THAT!".

"It's very doubtful that anything new on the subject is going to emerge from the ramblings of the 2 principal posters in this thread."

Boney discussed STD DEV and the concept of using it to get a slight edge so that leaves you as the only principal posters adding nothing but criticism to Ronnie's discussion.

Kentucky
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 Posted: February 13, 2013, 4:20 pm - IP Logged

I'm not here to rain on anyone's parade.

I see "educated" people with different perceptions and I only wish that this "debate" was a teamwork instead.

It's common in sports for a member of another team to try and disrupt sound teamwork, but in sports the object is to prevent the other team from playing at their best. Only Jimmy knows why he feels it necessary to disrupt our teamwork.

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 Posted: February 13, 2013, 4:46 pm - IP Logged

"I think you might agree that it is possibly the most appropriate report of a scientific study that could be brought to bear on a question like, "Do some number combinations have better odds?""

Or we could have a class of first graders place 28 shining new pennies into five groups of five and one group of three. And then will give Bobby the five groups of five pennies, give Sally five other pennies and ask the class who has the most pennies.

"I hope you won't waste any more of everyone's time trying to confuse these issues.

The odds of any group of 28 numbers having a five number match is 39 to 1 and it's a mathematical fact thousands of groups of 28 will match five numbers in five consecutive drawings. If you're still confused why 5 of something is more than 1 of something, ask a first grader. And since we already acknowledged it is very difficult to predict which group of 28 numbers will have five consecutive matches, don't waste our time by asking "which one".

"Randomness is a fascinating concept that has been studied extensively by researchers in the fields of Mathematics, Psychology, and Philosophy."

If it makes you feel better, I give you a big "HOW ABOUT THAT!".

"It's very doubtful that anything new on the subject is going to emerge from the ramblings of the 2 principal posters in this thread."

Boney discussed STD DEV and the concept of using it to get a slight edge so that leaves you as the only principal posters adding nothing but criticism to Ronnie's discussion.

I am not making this post for the benefit of Stack47; his Innummeracy is so profound that I don't think it is curable.  Hopefully, there are readers here with open minds who can see how he is being tricked (by his own mind.)

When he says, "The odds of any group of 28 numbers having a five number match is 39 to 1 and it's a mathematical fact thousands of groups of 28 will match five numbers in five consecutive drawings," he's making the understatement of the thread!

"thousands of groups of 28"

He should try calculating C(56,28), the number of combinations of 56 things taken 28 at a time.  I will warn you; this is a VERY, VERY, VERY, VERY LARGE number!

And then he says, "And since we already acknowledged it is very difficult to predict which group of 28 numbers will have five consecutive matches, don't waste our time by asking 'which one'."

"Very difficult"?  "waste our time"?  "which one"?

This is exactly why I created the C(5,2) Lotto game, to avoid the huge integers and infinitesimal probability values that you're forced to deal with in the actual game.  But you see, Ronnie316 and Stack47 are so convinced emotionally that they are right and can select a 28 Ball subset that has a higher likelihood of containing the 5 drawn numbers that they fail to see the relationship between the (5,2) and (56,5) games, and consequently, refuse to deal with it.

I hope you will.

--Jimmy4164

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 Posted: February 13, 2013, 5:57 pm - IP Logged

He should try calculating C(56,28), the number of combinations of 56 things taken 28 at a time.  I will warn you; this is a VERY, VERY, VERY, VERY LARGE number!

Your not telling us anything we dont know Jimmy, we deelt with C(56,28) a VERY long time ago.

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 Posted: February 13, 2013, 6:01 pm - IP Logged

Ronnie316         5+1     Ronnie hits jackpot on 18th draw.

4+1

mcginnin56       2+1

Yes it happened. Amazing how the odds get cut down to size once the correct bonus number is selected.

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 Posted: February 13, 2013, 7:14 pm - IP Logged

I'm not here to rain on anyone's parade.

I see "educated" people with different perceptions and I only wish that this "debate" was a teamwork instead.

Teamwork is a great idea and there is plenty of space for people to work together here.

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 Posted: February 13, 2013, 7:22 pm - IP Logged

It's common in sports for a member of another team to try and disrupt sound teamwork, but in sports the object is to prevent the other team from playing at their best. Only Jimmy knows why he feels it necessary to disrupt our teamwork.

No big deal really Stack. Little Jimmy just wants to get noticed, as I have said before. In his most recent post he has begun speaking to an imaginary group of people that he thinks are listen to him.

So sad really to see him saying the same things over and over expecting to get a point across about information that everyone here is already fully aware of.

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