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#176 2012-11-26 00:10:11
- bobbym
- Administrator
Online
Re: Expectation
Hi;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#177 2013-03-19 20:01:00
- anonimnystefy
- Real Member
Online
Re: Expectation
bobbym wrote:
Hmmmm.
You have 4 boxes. You can toss balls one at a time to the boxes until any one of them has 3 balls in it, and then you stop.
The tosses are independent, and each bin is equally likely to be hit. It's impossible to not make it in a bin on any given toss.
What is the expected number of tosses so that 1 bin has 3 balls in it?
See you in a bit.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#178 2013-03-19 20:17:37
- bobbym
- Administrator
Online
Re: Expectation
Hi;
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#179 2013-03-19 20:20:36
- anonimnystefy
- Real Member
Online
Re: Expectation
I'm not sure what you mean...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#180 2013-03-19 20:29:52
- bobbym
- Administrator
Online
Re: Expectation
Hmmmm, number 10 in the dice.pdf. Does that mean anything to you?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#181 2013-03-19 20:56:56
- anonimnystefy
- Real Member
Online
Re: Expectation
Yes, I know the problem. But I am not sure I understand what you are trying to say...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#182 2013-03-19 20:57:55
- bobbym
- Administrator
Online
Re: Expectation
I posed that to Matt for that very reason!
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#183 2013-03-19 21:20:08
- anonimnystefy
- Real Member
Online
Re: Expectation
What reason?
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#184 2013-03-19 21:21:07
- bobbym
- Administrator
Online
Re: Expectation
I gave him that problem because I needed an answer to the very problem you just solved.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#185 2013-03-19 21:38:30
- anonimnystefy
- Real Member
Online
Re: Expectation
Uh-huh! How did you solve that problem?
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#186 2013-03-19 21:46:03
- bobbym
- Administrator
Online
Re: Expectation
I just counted them. But now I would try to use your idea from the problem #10.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#187 2013-03-19 21:49:47
- anonimnystefy
- Real Member
Online
Re: Expectation
I already got it working for more bins.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#188 2013-03-19 22:00:36
- bobbym
- Administrator
Online
Re: Expectation
I know that.
I have been waiting for you Obi Wan...
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#189 2013-03-20 03:29:45
- anonimnystefy
- Real Member
Online
Re: Expectation
...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#190 2013-03-20 06:10:43
- bobbym
- Administrator
Online
Re: Expectation
Hmmm. Thee dots...
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#191 2013-03-20 06:15:37
- anonimnystefy
- Real Member
Online
Re: Expectation
bobbym wrote:
I know that.
I have been waiting for you Obi Wan...
I am not sure what you meant by this.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#192 2013-03-20 06:18:47
- bobbym
- Administrator
Online
Re: Expectation
It means I have been waiting for you to solve this problem. His solution to #10 gave no insight into how to do it other than what I already knew.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#193 2013-03-20 07:31:02
- anonimnystefy
- Real Member
Online
Re: Expectation
That is great. If only we had a better form for that...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#194 2013-03-20 07:41:06
- bobbym
- Administrator
Online
Re: Expectation
You mean a form that would make math types happy?
It already is in a nice form for a CAS. Allows us to compute some big numbers.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#195 2013-03-20 07:42:42
- anonimnystefy
- Real Member
Online
Re: Expectation
I'm not sure how large it can go...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#196 2013-03-20 07:44:59
- bobbym
- Administrator
Online
Re: Expectation
I have not looked at it for very large ones but it is doing much larger ones than was possible before.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#197 2013-03-20 09:48:25
- anonimnystefy
- Real Member
Online
Re: Expectation
Well, it is certainly better than his method!
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#198 2013-03-20 12:23:19
- bobbym
- Administrator
Online
Re: Expectation
Yes, his method is kind of clumsy and brute force like.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#199 2013-03-20 23:36:20
- anonimnystefy
- Real Member
Online
Re: Expectation
Yes. I like mine better.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#200 2013-03-21 00:01:08
- bobbym
- Administrator
Online
Re: Expectation
Well, how does it feel to come up with a solution like that?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.