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Algebra

Blazing goIITian

Joined:	4 Feb 2008
Post:	590

14 Feb 2009 23:34:58 IST

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Q.1 Let X is a set containing n elements. A subset P of set X

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Q.1 Let X is a set containing n elements. A subset P of set X is chosen at random. The set X is then reconstructed by replacing the elements of set P and another set Q is chosen at random. Find the probability that PUQ = X.

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Kevin Arnold

Cool goIITian

Joined: 15 Jan 2009

Posts: 73

14 Feb 2009 23:40:35 IST

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each element has 3 different fates..

1)it can go to P

2)it can go to Q

3)it can go to both

so event space is 3ⁿ

now the sample space,

each subset P and Q has 2ⁿ ways each of selecting its elements..

so sample space= 2²ⁿ

or probability= (3/4)ⁿ

cheers!!!

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