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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: cool qn-probability!!!
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joyfrancis (1504)

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q) A man can take a step forward , backward , right or left with equal probability. Find the probability that after 9 steps he will be exactly 1 step away from the initial position.

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akhil_o (2704)

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where did u get this question?

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akhil_o (2704)

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If we plot the points possible to reach from initial position, we get a tilted square.U can try by taking lesser than 9 first, for eg. 2 or 3.We get a diagram as shown below.The dots represent possible positions after 9 steps, the darkest dot is the starting position.Steps are taken along 1 diagonal
 
Total points are 2*(1+3+5+...17)+ 19-1
(We subtract 1 as we can't reach startin position in odd no of steps)
=180.
4 points are a distance of 1 step from I.P
therefore probability=4/180=1/45
 
 
PS. I am not sure of the solution...if u find any mistakes pl reply and do not hesitate to vote!


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akhil_o (2704)

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Whats the right answer?

" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
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madman (239)

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i solved the sum but i dont know if it is correct or not
please post the answer

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konichiwa2x (2224)

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hey buddy i've solved this problem. check out the link

Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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http://iit-redefined.theforum.name/index.php
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