Re: [algogeeks] Re: probability! tough one to crack!

2011-08-20 Thread priya ramesh
a wonderful explaination divye!! thank you so much :) :)

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[algogeeks] Re: probability! tough one to crack!

2011-08-19 Thread Dave
@Priya: Consider one of the squares in the grid. It has an area of 4
square inches. If the coin lands so that its center is within 1/2 inch
of any grid line, the coin will touch the line. The area of the region
within 1/2 inch of the boundary is 3 square inches. Therefore, 3/4 of
the time the coin will touch a grid line, leaving 1/4 as the
probability of not touching any of the grid lines.

Dave

On Aug 19, 11:50 am, priya ramesh love.for.programm...@gmail.com
wrote:
 A 1 inch diameter coin is thrown on a table covered with a grid of lines two
 inches apart. What is the probability the coin lands in a square without
 touching any of the lines of the grid?

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Re: [algogeeks] Re: probability! tough one to crack!

2011-08-19 Thread Sanjay Rajpal
@Dave : me too didnt get the meaning you want to convey, plz throw some
light.

Sanjay Kumar
B.Tech Final Year
Department of Computer Engineering
National Institute of Technology Kurukshetra
Kurukshetra - 136119
Haryana, India




On Fri, Aug 19, 2011 at 10:09 AM, priya ramesh 
love.for.programm...@gmail.com wrote:

 @dave: You are great!! The ans is indeed 1/4.

 I dint understand this sentence...

 The area of the region
 within 1/2 inch of the boundary is 3 square inches.

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Re: [algogeeks] Re: probability! tough one to crack!

2011-08-19 Thread Romil .......
The requirements will be satisfied if the centre of the coin is such that
the coin just touches the square. This is possible only when the centre of
coin is in a smaller square of 1 inch side.
Hence the result.



On Fri, Aug 19, 2011 at 10:41 PM, Sanjay Rajpal srn...@gmail.com wrote:

 @Dave : me too didnt get the meaning you want to convey, plz throw some
 light.

 Sanjay Kumar
 B.Tech Final Year
 Department of Computer Engineering
 National Institute of Technology Kurukshetra
 Kurukshetra - 136119
 Haryana, India




 On Fri, Aug 19, 2011 at 10:09 AM, priya ramesh 
 love.for.programm...@gmail.com wrote:

 @dave: You are great!! The ans is indeed 1/4.

 I dint understand this sentence...

 The area of the region
 within 1/2 inch of the boundary is 3 square inches.

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Re: [algogeeks] Re: probability! tough one to crack!

2011-08-19 Thread priya ramesh
why this sentence??

3/4 of
the time the coin will touch a grid line??

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Re: [algogeeks] Re: probability! tough one to crack!

2011-08-19 Thread Sanjay Rajpal
got it.

Sanju
:)



On Fri, Aug 19, 2011 at 10:25 AM, Romil ... vamosro...@gmail.comwrote:

 Because this is the answer. Rest of the times it will not touch any of the
 grid lines.


 On Fri, Aug 19, 2011 at 10:50 PM, priya ramesh 
 love.for.programm...@gmail.com wrote:

 why this sentence??

 3/4 of
 the time the coin will touch a grid line??

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 Romil


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Re: [algogeeks] Re: probability! tough one to crack!

2011-08-19 Thread DK
For those of you who want an explanation of Dave's answer, please refer to 
the diagram below.

| 0.5 in |-| 0.5 in |
xxx -
xxx 0.5 in
xxx - 
xx...xx   |
xx...xx   |
xx...xx   |
xx...xx   |
xxx -
xxx 0.5 in
xxx - 

Since the radius of the coin is 0.5 in, if the center of the coin falls in 
the x area, it will cross a grid line.
So, probability of the coin not crossing the grid lines is area of dots / 
area of square = (1 inch square / 4 inch square) = 1/4

--
DK

http://www.divye.in
http://twitter.com/divyekapoor
http://gplus.to/divyekapoor

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Re: [algogeeks] Re: probability! tough one to crack!

2011-08-19 Thread sagar pareek
GOOD one dave
and thanks divye for a wonderful explanation

On Fri, Aug 19, 2011 at 11:44 PM, DK divyekap...@gmail.com wrote:

 For those of you who want an explanation of Dave's answer, please refer to
 the diagram below.

 | 0.5 in |-| 0.5 in |
 xxx -
 xxx 0.5 in
 xxx -
 xx...xx   |
 xx...xx   |
 xx...xx   |
 xx...xx   |
 xxx -
 xxx 0.5 in
 xxx -

 Since the radius of the coin is 0.5 in, if the center of the coin falls in
 the x area, it will cross a grid line.
 So, probability of the coin not crossing the grid lines is area of dots /
 area of square = (1 inch square / 4 inch square) = 1/4

 --
 DK

 http://www.divye.in
 http://twitter.com/divyekapoor
 http://gplus.to/divyekapoor

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**Regards
SAGAR PAREEK
COMPUTER SCIENCE AND ENGINEERING
NIT ALLAHABAD

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