Barisal HS 2008_06

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rakeen
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Barisal HS 2008_06

Unread post by rakeen » Mon Jul 11, 2011 12:41 pm

There's 6 brown and 9 blue socks in a drawer.If you pick up two socks from it(randomly), what is the probability of picking up same coloured socks?

There are 6+9=15 socks. We can choose 2 socks in 15P2 way.(I've taken all the sock as as different sizes). We can choose 2 socks from the brown colour in 6P2 ways, and 9P2 from the blue ones. So, we can choose two socks from the drawer in 6P2 * 9P2 ways. So, the probability should be (6P2 *9P2 / 15P2)*100%
Am I right???
r@k€€/|/

Mehfuj Zahir
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Re: Barisal HS 2008_06

Unread post by Mehfuj Zahir » Mon Jul 11, 2011 7:05 pm

If the socks are in different size i think its not necessary to count permutation for probability

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bristy1588
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Re: Barisal HS 2008_06

Unread post by bristy1588 » Wed Dec 07, 2011 9:49 pm

Rakeen,

The answer is $\frac{17}{35}$
Bristy Sikder

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Labib
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Re: Barisal HS 2008_06

Unread post by Labib » Wed Dec 07, 2011 10:47 pm

Yeah, You're right.
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Learn how to write equations, and don't forget to read Forum Guide and Rules.


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Labib
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Re: Barisal HS 2008_06

Unread post by Labib » Wed Dec 07, 2011 10:47 pm

Yeah, You're right.
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.


"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes

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Re: Barisal HS 2008_06

Unread post by nafistiham » Wed Dec 07, 2011 10:57 pm

could some one show the solution
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Labib
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Re: Barisal HS 2008_06

Unread post by Labib » Wed Dec 07, 2011 11:48 pm

Probability to get a brown pair $= \frac 6 {15} \cdot \frac 5 {14} = \frac 1 7$.
Probability to get a blue pair $= \frac 9 {15} \cdot \frac 8 {14} = \frac {12} {35}$.
Add them up and we get the total probability $= \frac {17}{35}$.
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.


"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes

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