Is this cool with you?

bobbym · 2012-07-23 15:40:24

New Problem:

A list of 1000 zeroes is created called M. A random number is picked from 1 to 1000. Each time one of these is picked, the zero in the list ( at that index ) is changed to a 1. For instance if the random number is 276 then M[276]=1. What is the average number of random numbers that must be picked to have 200 ones in the list?

A says) 200 of course.

B says) Not likely A the exact answer is C says) I got 251.18725416273654 and that is darn close.

D says) That is what I got!

E says) Nope, I like B's answer.

What is B's answer?

phrontister · 2012-07-23 20:45:34

Hi Bobby,

Last edited by phrontister (2012-07-23 21:32:54)

bobbym · 2012-07-23 22:50:49

Hi phrontister;

phrontister · 2012-07-24 02:44:16

Hi Bobby,

bobbym · 2012-07-24 02:50:09

Hi phrontister;

gAr · 2012-07-24 04:24:00

Hi bobbym,

bobbym · 2012-07-24 04:41:49

Hi gAr;

phrontister · 2012-07-24 04:54:26

Hi Bobby,

I found my error with the shortcut and fixed it. Both methods give the same answer.

Last edited by phrontister (2012-07-24 14:28:41)

gAr · 2012-07-24 05:04:43

Hi bobbym,

I think you are right.
I did not try simulation.

bobbym · 2012-07-24 07:30:42

Hi gAr;

Okay, give it a try when you have some time. Thanks for working on the problem.

Hi phrontister;

That is good. Did you know a solution in M earns extra credit? Thanks for looking at the problem.

phrontister · 2012-07-24 12:22:28

Hi Bobby,

Did you know a solution in M earns extra credit?

Xlnt! I'll send you my bank account details if I find an M solution.

Should I try one of my methods? If so, which one? Or did you mean your method (but I don't understand yours or gAr's because of my Year 4 high-school maths level).

bobbym · 2012-07-24 17:11:44

Hi phrontister;

I meant for a simulation using M.

Should I try one of my methods?

Yes! Either one that you think will be easier to code in M.

phrontister · 2012-07-24 19:17:17

Ok, Bobby, I'll give that a go. Get ready for my cry for help, though, because at this early stage the task seems to be a bit daunting.

I've got no idea whatsoever about how go about it, other than to dive into M's help files with the hope that I can find some examples that relate to what I want to do...which may take a while.

bobbym · 2012-07-24 19:54:33

Hi phrontister;

You will do fine. Holler if you need help.

gAr · 2012-07-25 03:54:06

Hi bobbym,

bobbym · 2012-07-25 07:42:00

Hi gAr;

If you want to you can. Let me know when and I will make a thread there for yours and phrontister's.

gAr · 2012-07-26 01:41:09

Hi bobbym,

Yes, and maybe you too can post your code there so that users can have a choice among the tools of the trade!

bobbym · 2012-07-26 01:45:24

Hi;

Will do!

bobbym · 2012-09-05 22:51:46

New problem:

What is the diameter of the smallest circle that encloses x^2 + y^2 = 4 and (x - 2)^2 + (y - 4)^2 = 9?

anonimnystefy · 2012-09-06 01:15:30

Hi bobbym

Last edited by anonimnystefy (2012-09-06 01:15:42)

bobbym · 2012-09-06 01:39:36

Hi anonimnystefy;

anonimnystefy · 2012-09-06 01:52:11

Hi bobbym

bobbym · 2012-09-06 02:19:31

bobbym · 2012-09-06 10:43:20

New problem;

What is the area of the smallest equilateral triangle that encloses x^2 + y^2 = 4 and (x - 2)^2 + (y - 4)^2 = 9?

bobbym · 2012-09-24 06:47:50

New Problem:

E says)

The sum

converges slowly. It takes 80,000 terms to get only 8 correct digits past the decimal. B can you speed up the convergence of this series? I know that Mathematica or Maple can get any number of digits for it but I would like to do it myself. What I am looking for is an acceleration of the series convergence.
A says) Hold on E, B isn't the only guy who can do things. I have never been wrong yet have I? Of course not. Just let me say there is no way. Now you can talk B.
B says) Thanks A you are too kind to me. Of course there is a simple way to produce a series that converges faster than that one. All you do is make use of...
C says) There you go again B. Contradicting A. There is a reason A goes first. He is the man! The best! He already said it can not be done.
D says) What is a series?
E says) A comes before B because of the dictionary. I want to hear what B has to say.
A says) I don't.
C says) Agreed!
D says) B, is it true that you are a distant cousin of Torricelli? Not Evangelista, the other one.
B says) Oh boy!?
Can you come up with a faster series that converges to the same value?

Math Is Fun Forum

#1526 2012-07-23 15:40:24

Re: Is this cool with you?

#1527 2012-07-23 20:45:34

Re: Is this cool with you?

#1528 2012-07-23 22:50:49

Re: Is this cool with you?

#1529 2012-07-24 02:44:16

Re: Is this cool with you?

#1530 2012-07-24 02:50:09

Re: Is this cool with you?

#1531 2012-07-24 04:24:00

Re: Is this cool with you?

#1532 2012-07-24 04:41:49

Re: Is this cool with you?

#1533 2012-07-24 04:54:26

Re: Is this cool with you?

#1534 2012-07-24 05:04:43

Re: Is this cool with you?

#1535 2012-07-24 07:30:42

Re: Is this cool with you?

#1536 2012-07-24 12:22:28

Re: Is this cool with you?

#1537 2012-07-24 17:11:44

Re: Is this cool with you?

#1538 2012-07-24 19:17:17

Re: Is this cool with you?

#1539 2012-07-24 19:54:33

Re: Is this cool with you?

#1540 2012-07-25 03:54:06

Re: Is this cool with you?

#1541 2012-07-25 07:42:00

Re: Is this cool with you?

#1542 2012-07-26 01:41:09

Re: Is this cool with you?

#1543 2012-07-26 01:45:24

Re: Is this cool with you?

#1544 2012-09-05 22:51:46

Re: Is this cool with you?

#1545 2012-09-06 01:15:30

Re: Is this cool with you?

#1546 2012-09-06 01:39:36

Re: Is this cool with you?

#1547 2012-09-06 01:52:11

Re: Is this cool with you?

#1548 2012-09-06 02:19:31

Re: Is this cool with you?

#1549 2012-09-06 10:43:20

Re: Is this cool with you?

#1550 2012-09-24 06:47:50

Re: Is this cool with you?

Board footer