Fly's Problem (Advanced)
- Phlembac Adib Hasan
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A fly starts jumping on a straight line.At each jump it crosses $5\; cm$ either left or right.What's the probability that the fly will be $30\; cm$ apart from starting point after $20^{th}$ jump?
Additional part :generalize it for every even number and distance $5k$.
Additional part :generalize it for every even number and distance $5k$.
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Re: Fly's Problem (Advanced)
Adib, could you clarify which data we are supposed to assume to be even??
I couldn't be clear which data has to be even. So, I am posting my solution without
generalization:
I couldn't be clear which data has to be even. So, I am posting my solution without
generalization:
Last edited by sowmitra on Sun Apr 01, 2012 2:07 am, edited 1 time in total.
- Phlembac Adib Hasan
- Posts:1016
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Re: Fly's Problem (Advanced)
I asked to find the probability for every even number like the probability after 2nd jump,after 4th jump etc.I hope it's clear now.
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Re: Fly's Problem (Advanced)
Adib, thank you for making it clear . I think this is the generalization :
I am not quite sure if this the correct solution (mostly because there is a fraction $\frac{k}{2}$) .
I would be very grateful if you could point out the bug in the solution (if there is any).
I would be very grateful if you could point out the bug in the solution (if there is any).
Last edited by sowmitra on Sun Apr 01, 2012 2:11 am, edited 1 time in total.
- nafistiham
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Re: Fly's Problem (Advanced)
for combination or permutation you should use these I think $_{}^{n}\textrm{C}_k $ or $\binom{n}{k}$sowmitra wrote:Adib, thank you for making it clear . I think this is the generalization :I am not quite sure if this the correct solution (mostly because there is a fraction $\frac{k}{2}$) .
I would be very grateful if you could point out the bug in the solution (if there is any).
(just click on them to see the code,or there is equation editor)
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Re: Fly's Problem (Advanced)
@Tiham: Thank you for pointing it out.
I have changed the previous codes to the binomial codes. I am actually new at working with LATEX, so, I do not know all the codes yet. Besides, I couldn't find the code of Combinations in the pdf 'latexhelp'. Ei jonnoe oi choramita korechilam. Thanks again for helping me.
I have changed the previous codes to the binomial codes. I am actually new at working with LATEX, so, I do not know all the codes yet. Besides, I couldn't find the code of Combinations in the pdf 'latexhelp'. Ei jonnoe oi choramita korechilam. Thanks again for helping me.
- nafistiham
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Re: Fly's Problem (Advanced)
My pleasure.And, well done.I would not have the courage to re edit all those codes.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Re: Fly's Problem (Advanced)
Hey, where is Adib ? Has he forgotten about this post ?!
Will someone please show me the bug in the solution ?
Will someone please show me the bug in the solution ?
Re: Fly's Problem (Advanced)
Humm........sowmitra wrote:@Tiham: Thank you for pointing it out.
I have changed the previous codes to the binomial codes. I am actually new at working with LATEX, so, I do not know all the codes yet. Besides, I couldn't find the code of Combinations in the pdf 'latexhelp'. Ei jonnoe oi choramita korechilam. Thanks again for helping me.
This may be helpful for you.
http://www.thestudentroom.co.uk/wiki/La ... rentiation
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